1 | Jon M. Borwein, Igor Shparlinski & Wadim Zudilin (eds.) |
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Number Theory and Related Fields, In memory of Alf van der Poorten | |
Springer Proceedings in Mathematics & Statistics 43 (2013), Springer |
2 | Jon M. Borwein, Alf van der Poorten, Jeffrey O. Shallit & Wadim Zudilin |
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Neverending Fractions: An Introduction to Continued Fractions | |
Australian Mathematical Society Lecture Series 23 (2014), Cambridge University Press
Errata |
3 | François Brunault & Wadim Zudilin |
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Many Variations of Mahler Measures: A Lasting Symphony | |
Australian Mathematical Society Lecture Series 28 (2020), Cambridge University Press
Errata |
4 | Wadim Zudilin |
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Analytic Methods in Number Theory: When Complex Numbers Count | |
Monographs in Number Theory 11 (2023), World Scientific |
1 | W. Zudilin |
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On rational approximations of values of a certain class of entire functions | |
Sb. Math. 186:4 (1995), 555–590
Russian version in Mat. Sb. 186:4 (1995), 89–124 |
2 | W. Zudilin |
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On a measure of irrationality for values of G-functions | |
Izv. Math. 60:1 (1996), 91–118
Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 60:1 (1996), 87–114 |
3 | W. Zudilin |
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On algebraic structure of functional matrices of special form | |
Math. Notes 60:6 (1996), 642–648
Russian version in Mat. Zametki 60:6 (1996), 851–860 |
4 | W. Zudilin |
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Lower bounds for polynomials in the values of certain entire functions | |
Sb. Math. 187:12 (1996), 1791–1818
Russian version in Mat. Sb. 187:12 (1996), 57–86 |
5 | W. Zudilin |
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On the measure of linear and algebraic independence for values of entire hypergeometric functions | |
Math. Notes 61:2 (1997), 246–248
Russian version in Mat. Zametki 61:2 (1997), 302–304 |
6 | W. Zudilin |
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Recurrent sequences and the measure of irrationality of values of elliptic integrals | |
Math. Notes 61:5 (1997), 657–661
Russian version in Mat. Zametki 61:5 (1997), 785–789 |
7 | W. Zudilin |
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Difference equations and the irrationality measure of numbers | |
Proc. Steklov Inst. Math. 218 (1997), 160–174
Russian version in Tr. Mat. Inst. Steklova 218 (1997), 165–178 |
8 | W. Zudilin |
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Thetanulls and differential equations | |
Sb. Math. 191:12 (2000), 1827–1871
Russian version in Mat. Sb. 191:12 (2000), 77–122 |
9 | W. Zudilin |
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Cancellation of factorials | |
Sb. Math. 192:8 (2001), 1181–1207
Russian version in Mat. Sb. 192:8 (2001), 95–122 Preprint math.NT/0008017 |
10 | D. Bertrand & W. Zudilin |
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On the transcendence degree of the differential field generated by Siegel modular forms | |
J. Reine Angew. Math. 554 (January 2003), 47–68
Prépublication de l'Institut de Mathématiques de Jussieu, no. 248, Mars 2000 Preprint math.NT/0006176 |
11 | W. Zudilin |
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Hypergeometric equation and Ramanujan functions | |
Ramanujan J. 7:4 (2003), 435–447 |
12 | W. Zudilin |
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Transcendence problems of the mirror [Number theory casting a look at the mirror] | |
Preprint math.NT/0008237 |
13 | W. Zudilin |
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Integrality of power expansions related to hypergeometric series | |
Math. Notes 71:5 (2002), 604–616;
Russian version in Mat. Zametki 71:5 (2002), 662–676 |
14 | D. Bertrand & W. Zudilin |
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Derivatives of Siegel modular forms and exponential functions | |
Izv. Math. 65:4 (2001), 659–671
Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 65:4 (2001), 21–34 Prépublication de l'Institut de Mathématiques de Jussieu, no. 280, Mars 2001 |
15 | W. Zudilin |
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On the irrationality of the values of the zeta function at odd integer points | |
Russian Math. Surveys 56:2 (2001), 423–424
Russian version in Uspekhi Mat. Nauk 56:2 (2001), 215–216 |
16 | W. Zudilin |
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Irrationality of values of zeta-function | |
Preprint math.NT/0104249
Russian version in Contemporary Research in Mathematics and Mechanics, Proceedings of the XXIII Conference of Young Scientists of the Department of Mechanics and Mathematics (Moscow State University, April 9–14, 2001), Moscow, Publ. Dept. Mech. Math. MSU, 2001, Part 2, 127–135 |
17 | W. Zudilin |
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Irrationality of values of the Riemann zeta function | |
Izv. Math. 66:3 (2002), 489–542
Russian version in Izv. Ross. Akad. Nauk Ser. Mat. 66:3 (2002), 49–102 |
18 | W. Zudilin |
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One of the eight numbers ζ(5), ζ(7), ..., ζ(17), ζ(19) is irrational | |
Math. Notes 70:3 (2001), 426–431
Russian version in Mat. Zametki 70:3 (2001), 472–476 |
19 | W. Zudilin |
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Arithmetic of linear forms involving odd zeta values | |
J. Théor. Nombres Bordeaux 16:1 (2004), 251–291
Preprint math.NT/0206176 |
20 | W. Zudilin |
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One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational | |
Russian Math. Surveys 56:4 (2001), 774–776
Russian version in Uspekhi Mat. Nauk 56:4 (2001), 149–150 |
21 | W. Zudilin |
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One parameter models of Hopf algebras assosiated with multiple zeta values | |
Preprint (16 June 2001), 11 pages |
22 | W. Zudilin |
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Remarks on irrationality of q-harmonic series | |
Manuscripta Math. 107:4 (2002), 463–477 |
23 | W. Zudilin |
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Algebraic relations for multiple zeta values | |
Russian Math. Surveys 58:1 (2003), 1–29
Russian version in Uspekhi Mat. Nauk 58:1 (2003), 3–32 |
24 | W. Zudilin |
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On the irrationality of ζq(2) | |
Russian Math. Surveys 56:6 (2001), 1183–1185
Russian version in Uspekhi Mat. Nauk 56:6 (2001), 147–148 |
25 | W. Zudilin |
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On the irrationality measure for a q-analogue of ζ(2) | |
Sb. Math. 193:8 (2002), 1151–1172
Russian version in Mat. Sb. 193:8 (2002), 49–70 |
26 | T. Rivoal & W. Zudilin |
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Diophantine properties of numbers related to Catalan's constant | |
Math. Ann. 326:4 (2003), 705–721
Prépublication de l'Institut de Mathématiques de Jussieu, no. 315, Janvier 2002 |
27 | W. Zudilin |
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An Apéry-like difference equation for Catalan's constant | |
Electron. J. Combin. 10:1 (2003), #R14, 10 pages
Preprint math.NT/0201024 |
29 | W. Zudilin |
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Apéry's theorem. Thirty years after [An elementary proof of Apéry's theorem] | |
Intern. J. Math. Computer Sci. 4:1 (2009), 9–19
Preprint math.NT/0202159 |
30 | W. Zudilin |
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Very well-poised hypergeometric series and multiple integrals | |
Russian Math. Surveys 57:4 (2002), 824–826
Russian version in Uspekhi Mat. Nauk 57:4 (2002), 177–178 Preprint math.CA/0206177 |
31 | W. Zudilin |
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Heine's basic transform and a permutation group for q-harmonic series | |
Acta Arith. 111:2 (2004), 153–164 |
32 | W. Zudilin |
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A third-order Apéry-like recursion for ζ(5) | |
Math. Notes 72:5 (2002), 733–737
Russian version in Mat. Zametki 72:5 (2002), 796–800 Preprint math.NT/0206178 |
33 | W. Zudilin |
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Diophantine problems for q-zeta values | |
Math. Notes 72:6 (2002), 858–862
Russian version in Mat. Zametki 72:6 (2002), 936–940 Preprint math.NT/0206179 |
34 | K. Väänänen & W. Zudilin |
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Baker-type estimates for linear forms in the values of q-series | |
Canad. Math. Bull. 48:1 (2005), 147–160 |
35 | W. Zudilin |
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A few remarks on linear forms involving Catalan's constant | |
Preprint math.NT/0210423
Russian version in Chebyshevskii Sb. (Tula State Pedagogical University) 3:2(4) (2002), 60–70 |
36 | W. Zudilin |
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On the functional transcendence of q-zeta values | |
Math. Notes 73:4 (2003), 588–589
Russian version in Mat. Zametki 73:4 (2003), 629–630 |
37 | J. Sondow & W. Zudilin |
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Euler's constant, q-logarithms, and formulas of Ramanujan and Gosper | |
Ramanujan J. 12:2 (2006), 225–244
Preprint (an extended version) math.NT/0304021 |
38 | W. Zudilin |
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Well-poised hypergeometric transformations of Euler-type multiple integrals | |
J. London Math. Soc. (2) 70:1 (2004), 215–230 |
39 | W. Zudilin |
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Well-poised generation of Apéry-like recursions | |
in Proceedings of the 7th OPSFA (Copenhagen, 18–22 August 2003),
J. Comput. Appl. Math. 178:1–2 (2005), 513–521
Preprint math.NT/0307058 |
40 | T. Matala-aho, K. Väänänen & W. Zudilin |
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New irrationality measures for q-logarithms | |
Math. Comp. 75 (2006), no. 254, 879–889 |
41 | W. Zudilin |
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On a combinatorial problem of Asmus Schmidt | |
Electron. J. Combin. 11:1 (2004), #R22, 8 pages
Preprint math.CA/0311195 |
42 | C. Krattenthaler, T. Rivoal & W. Zudilin |
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Séries hypergéométriques basiques, q-analogues des valeurs de la fonction zêta et formes modulaires | |
J. Inst. Math. Jussieu 5:1 (2006), 53–79
Preprint math.NT/0311033 |
43 | P. Bundschuh & W. Zudilin |
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On theorems of Gelfond and Selberg concerning integral-valued entire functions | |
J. Approx. Theory 130:2 (2004), 164–178 |
44 | W. Zudilin |
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Binomial sums related to rational approximations to ζ(4) | |
Math. Notes 75:4 (2004), 594–597
Russian version in Mat. Zametki 75:4 (2004), 637–640 Preprint math.CA/0311196 |
45 | W. Zudilin |
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An essay on irrationality measures of π and other logarithms | |
Preprint math.NT/0404523
Russian version in Chebyshevskii Sb. (Tula State Pedagogical University) 5:2 (2004), 49–65 |
46 | G. Almkvist & W. Zudilin |
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Differential equations, mirror maps and zeta values | |
in Mirror Symmetry V,
N. Yui, S.-T. Yau, and J.D. Lewis (eds.),
AMS/IP Stud. Adv. Math. 38 (2006), International Press & Amer. Math. Soc., 481–515
Preprint math.NT/0402386 |
47 | W. Zudilin |
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The inverse Legendre transform of a certain family of sequences | |
Math. Notes 76:2 (2004), 276–279
Russian version in Mat. Zametki 76:2 (2004), 300–303 |
49 | W. Zudilin |
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Ramanujan-type formulae and irrationality measures of certain multiples of π | |
Sb. Math. 196:7 (2005), 983–998
Russian version in Mat. Sb. 196:7 (2005), 51–66 |
50 | W. Zudilin |
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Approximations to -, di- and tri- logarithms | |
J. Comput. Appl. Math. 202:2 (2007), 450–459
Preprint math.CA/0409023 |
51 | W. Zudilin |
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An elementary proof of the irrationality of Tschakaloff series | |
J. Math. Sci. (N. Y.) 146:2 (2007), 5669–5673
Russian version in Fundam. Prikl. Mat. 11:6 (2005), 59–64 (journal link) Preprint math.NT/0506086 |
52 | W. Zudilin |
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Computing powers of two generalizations of the logarithm | |
Sém. Lothar. Combin. 53 (2004/06), Art. B53c, 6 pages |
53 | W. Zudilin |
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Approximations to q-logarithms and q-dilogarithms, with applications to q-zeta values | |
in a special volume dedicated to the 90th anniversary of Yu.V. Linnik,
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 322 (2005), 107–124
(journal link)
Reprinted in J. Math. Sci. (N. Y.) 137:2 (2006), 4673–4683 |
54 | Kh. Hessami Pilehrood, T. Hessami Pilehrood & W. Zudilin |
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Irrationality of certain numbers that contain values of the di- and trilogarithm | |
Math. Zeitschrift 254:2 (2006), 299–313 |
55 | P. Bundschuh & W. Zudilin |
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Irrationality measures for certain q-mathematical constants | |
Math. Scand. 101:1 (2007), 104–122 |
56 | W. Zudilin |
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A new lower bound for ||(3/2)k|| | |
in Proceedings of the 24th Journées Arithmétiques (Marseille, July 4–8, 2005), J. Théor. Nombres Bordeaux 19:1 (2007), 313–325 |
57 | G. Almkvist, C. van Enckevort, D. van Straten & W. Zudilin |
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Tables of Calabi–Yau equations | |
Preprint math.AG/0507430 (July 2005), 104 pages
The supporting database "Calabi–Yau equations" is due to C. van Enckevort and D. van Straten |
58 | W. Zudilin |
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Quadratic transformations and Guillera's formulae for 1/π2 | |
Math. Notes 81:3 (2007), 297–301
Russian version in Mat. Zametki 81:3 (2007), 335–340 Preprint math.CA/0509465 |
59 | K. Väänänen & W. Zudilin |
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Linear independence of values of Tschakaloff series | |
Russian Math. Surveys 62:1 (2007), 196–198
Russian version in Uspekhi Mat. Nauk 62:1 (2007), 197–198 |
60 | W. Zudilin |
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More Ramanujan-type formulae for 1/π2 | |
Russian Math. Surveys 62:3 (2007), 634–636
Russian version in Uspekhi Mat. Nauk 62:3 (2007), 211–212 |
61 | K. Väänänen & W. Zudilin |
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Linear independence of values of Tschakaloff functions with different parameters | |
J. Number Theory 128:9 (2008), 2549–2558 |
62 | W. Zudilin |
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Ramanujan-type formulae for 1/π: A second wind? | |
in Modular Forms and String Duality
(Banff, June 3–8, 2006), N. Yui, H. Verrill and C.F. Doran (eds.),
Fields Inst. Commun. Ser. 54 (2008), Amer. Math. Soc. & Fields Inst., 179–188
Preprint arXiv:0712.1332 [math.NT] |
63 | G. Almkvist, D. van Straten & W. Zudilin |
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Apéry limits of differential equations of order 4 and 5 | |
in Modular Forms and String Duality (Banff, June 3–8, 2006), N. Yui, H. Verrill and C.F. Doran (eds.), Fields Inst. Commun. Ser. 54 (2008), Amer. Math. Soc. & Fields Inst., 105–123 |
64 | Y. Ohno & W. Zudilin |
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Zeta stars | |
Commun. Number Theory Phys. 2:2 (2008), 325–347
Preprint MPIM 2007-134 (November 2007) |
65 | C. Viola & W. Zudilin |
---|---|
Hypergeometric transformations of linear forms in one logarithm | |
Funct. Approx. Comment. Math. 39:2 (2008), 211–222 |
66 | Y. Ohno, J. Okuda & W. Zudilin |
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Cyclic q-MZSV sum | |
J. Number Theory 132:1 (2012), 144–155
Preprint MPIM 2008-31 (March 2008) |
67 | Y. Yang & W. Zudilin, with an appendix by V. Paşol |
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An Sp4 modularity of Picard–Fuchs differential equations for Calabi–Yau threefolds | |
in Gems in Experimental Mathematics,
T. Amdeberhan, L.A. Medina, and V.H. Moll (eds.),
Contemp. Math. 517 (2010), Amer. Math. Soc., 381–413
Preprint MPIM 2008-36 (March 2008) Preprint arXiv:0803.3322 [math.NT] |
68 | W. Zudilin |
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Ramanujan-type supercongruences | |
J. Number Theory 129:8 (2009), 1848–1857
Preprint arXiv:0805.2788 [math.NT] |
69 | H.H. Chan & W. Zudilin |
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New representations for Apéry-like sequences | |
Mathematika 56:1 (2010), 107–117 |
70 | C. Krattenthaler, I. Rochev, K. Väänänen & W. Zudilin |
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On the non-quadraticity of values of the q-exponential function and related q-series | |
Acta Arith. 136:3 (2009), 243–269
Preprint (Math. Univ. Oulu, June 2008) & ESI-2026 (Erwin Schrödinger Intern. Inst. Math. Phys., Vienna, June 2008), 25 pages Preprint arXiv:0812.2921 [math.NT] |
71 | G. Almkvist, D. van Straten & W. Zudilin |
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Generalizations of Clausen's formula and algebraic transformations of Calabi–Yau differential equations | |
Proc. Edinburgh Math. Soc. 54:2 (2011), 273–295
Preprint MPIM 2009-38 (May 2009) |
72 | W. Zudilin |
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A hypergeometric problem | |
J. Comput. Appl. Math. 233 (2009), 856–857 |
73 | H.H. Chan, Y. Tanigawa, Y. Yang & W. Zudilin |
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New analogues of Clausen's identities arising from the theory of modular forms | |
Adv. in Math. 228:2 (2011), 1294–1314 |
74 | S. Fischler & W. Zudilin |
---|---|
A refinement of Nesterenko's linear independence criterion with applications to zeta values | |
Math. Ann. 347:4 (2010), 739–763
Preprint MPIM 2009-35 (May 2009) |
75 | Y. Gallot, P. Moree & W. Zudilin |
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The Erdős–Moser equation 1k+2k+...+(m-1)k=mk revisited using continued fractions | |
Math. Comp. 80 (2011), no. 274, 1221–1237
Preprint MPIM 2009-49 (July 2009) Preprint arXiv:0907.1356 [math.NT] |
76 | D.H. Bailey, J.M. Borwein, D. Broadhurst & W. Zudilin |
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Experimental mathematics and mathematical physics | |
in Gems in Experimental Mathematics,
T. Amdeberhan, L.A. Medina, and V.H. Moll (eds.),
Contemp. Math. 517 (2010), Amer. Math. Soc., 41–58
Preprint arXiv:1005.0414 [math-ph] |
77 | H.H. Chan, L. Long & W. Zudilin |
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A supercongruence motivated by the Legendre family of elliptic curves | |
Math. Notes 88 (2010), 599–602
Russian version in Mat. Zametki 88:4 (2010), 620–624 |
78 | S. Ole Warnaar & W. Zudilin |
---|---|
Dedekind's η-function and Rogers–Ramanujan identities | |
Bull. London Math. Soc. 44:1 (2012), 1–11
Preprint arXiv:1001.1571 [math.CO] |
79 | S. Ole Warnaar & W. Zudilin |
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A q-rious positivity | |
Aequat. Math. 81:1-2 (2011), 177–183
Preprint arXiv:1003.1999 [math.NT] |
80 | J. Guillera & W. Zudilin |
---|---|
"Divergent" Ramanujan-type supercongruences | |
Proc. Amer. Math. Soc. 140:3 (2012), 765–777
Preprint arXiv:1004.4337 [math.NT] |
81 | J.M. Borwein, A. Straub, J. Wan & W. Zudilin, with an appendix by D. Zagier |
---|---|
Densities of short uniform random walks | |
Canad. J. Math. 64:5 (2012), 961–990
Preprint arXiv:1103.2995 [math.CA] |
82 | M. Rogers & W. Zudilin |
---|---|
From L-series of elliptic curves to Mahler measures | |
Compositio Math. 148:2 (2012), 385–414
Preprint arXiv:1012.3036 [math.NT] |
83 | M. Rogers & W. Zudilin |
---|---|
On the Mahler measure of 1+X+1/X+Y+1/Y | |
Intern. Math. Research Notices 2014:9 (2014), 2305–2326
Preprint arXiv:1102.1153 [math.NT] |
84 | W. Zudilin |
---|---|
Arithmetic hypergeometric series | |
Russian Math. Surveys 66:2 (2011), 369–420
Russian version in Uspekhi Mat. Nauk 66:2 (2011), 163–216 |
85 | H.H. Chan, J. Wan & W. Zudilin |
---|---|
Legendre polynomials and Ramanujan-type series for 1/π | |
Israel J. Math. 194:1 (2013), 183–207
Preprint MPIM 2011-36 (June 2011) |
86 | J. Wan & W. Zudilin |
---|---|
Generating functions of Legendre polynomials: a tribute to Fred Brafman | |
J. Approx. Theory 164:4 (2012), 488–503
Reprinted for the continuity of the special issue (OPSFA 2011, Madrid, Spain) in J. Approx. Theory 170 (2013), 198–213 Preprint MPIM 2011-37 (June 2011) |
87 | W. Zudilin |
---|---|
Book review: Ramanujan's Lost Notebook. Part II by G.E. Andrews and B.C. Berndt (Cambridge University Press, Cambridge 2008) | |
J. Approx. Theory 163:8 (2011), 1037–1040 |
88 | H.H. Chan, J. Wan & W. Zudilin |
---|---|
Complex series for 1/π | |
in Ramanujan's 125th anniversary special volume, Ramanujan J. 29:1–3 (2012), 135–144 |
89 | T. Chappell, A. Lascoux, S. O. Warnaar & W. Zudilin |
---|---|
Logarithmic and complex constant term identities | |
in Computational and Analytical Mathematics, In honor of Jonathan Borwein's 60th birthday,
D.H. Bailey et al. (eds.),
Springer Proceedings in Mathematics & Statistics 50 (2013), Springer, 219–250
Preprint arXiv:1112.3130 [math.CO] |
90 | W. Zudilin |
---|---|
Transformations of L-values | |
in Analytic Number Theory–related Multiple aspects of Arithmetic Functions,
Takumi Noda (ed.),
RIMS Kôkyûroku no. 1806 (Kyoto Univ., September 2012), 16–21
Preprint arXiv:1202.5630 [math.NT] |
91 | W. Zudilin |
---|---|
Period(d)ness of L-values | |
in Number Theory and Related Fields, In memory of Alf van der Poorten,
J.M. Borwein et al. (eds.),
Springer Proceedings in Mathematics & Statistics 43 (2013), Springer, 381–395
Preprint MPIM 2012-42 (June 2012) |
92 | W. Zudilin |
---|---|
Lost in translation | |
in Advances in Combinatorics, Waterloo Workshop in Computer Algebra W80 (May 26–29, 2011),
I. Kotsireas and E.V. Zima (eds.)
(2013), Springer, 287–293
Preprint arXiv:1210.0269 [math.NT] |
93 | W. Zudilin |
---|---|
A generating function of the squares of Legendre polynomials | |
Bull. Austral. Math. Soc. 89:1 (2014), 125–131
Preprint arXiv:1210.2493 [math.CA] |
94 | J. Guillera & W. Zudilin |
---|---|
Ramanujan-type formulae for 1/π: The art of translation | |
in The Legacy of Srinivasa Ramanujan,
B.C. Berndt & D. Prasad (eds.),
Ramanujan Math. Soc. Lecture Notes Series 20 (2013), 181–195
Preprint arXiv:1302.0548 [math.NT] Preprint MPIM 2013-29 |
95 | W. Zudilin |
---|---|
Regulator of modular units and Mahler measures | |
Math. Proc. Cambridge Philos. Soc. 156:2 (2014), 313–326
Preprint arXiv:1304.3869 [math.NT] Preprint MPIM 2013-30 |
96 | W. Zudilin |
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On three theorems of Folsom, Ono and Rhoades | |
Proc. Amer. Math. Soc. 143:4 (2015), 1471–1476
Preprint arXiv:1309.2053 [math.NT] |
97 | A. Straub & W. Zudilin |
---|---|
Positivity of rational functions and their diagonals | |
J. Approx. Theory 195 (2015), 57–69
Preprint arXiv:1312.3732 [math.NT] Preprint MPIM 2013-61 |
98 | W. Zudilin |
---|---|
Two hypergeometric tales and a new irrationality measure of ζ(2) | |
Ann. Math. Québec 38:1 (2014), 101–117
Preprint arXiv:1310.1526 [math.NT] |
99 | S. Dauguet & W. Zudilin |
---|---|
On simultaneous diophantine approximations to ζ(2) and ζ(3) | |
J. Number Theory 145 (2014), 362–387
Preprint arXiv:1401.5322 [math.NT] |
100 | W. Zudilin |
---|---|
On the irrationality measure of π2 | |
Russian Math. Surveys 68:6 (2013), 1133–1135
Russian version in Uspekhi Mat. Nauk 68:6 (2013), 171–172 |
101 | C. Viola & W. Zudilin |
---|---|
Linear independence of dilogarithmic values | |
J. Reine Angew. Math. 736 (2018), 193–223
Preprint MPIM 2014-26 |
102 | M. J. Bertin & W. Zudilin |
---|---|
On the Mahler measure of a family of genus 2 curves | |
Math. Zeitschrift 283:3 (2016), 1185–1193
Preprint arXiv:1405.4396 [math.NT] |
103 | W. Zudilin |
---|---|
Multiple q-zeta brackets | |
Mathematics 3:1 (2015), special issue Mathematical physics, 119–130
Preprint arXiv:1412.0163 [math.NT] |
104 | R. Brent, M. Coons & W. Zudilin |
---|---|
Algebraic independence of Mahler functions via radial asymptotics | |
Intern. Math. Research Notices 2016:2 (2016), 571–603
Preprint arXiv:1412.7906 [math.NT] |
105 | R. Osburn & W. Zudilin |
---|---|
On the (K.2) supercongruence of Van Hamme | |
J. Math. Anal. Appl. 433:1 (2016), 706–711
Preprint arXiv:1504.01976 [math.NT] |
106 | W. Zudilin |
---|---|
On a family of polynomials related to ζ(2,1) = ζ(3) | |
in Periods in Quantum Field Theory and Arithmetic (RTMZV 2014, ICMAT Madrid, Spain),
J.I. Burgos Gil, K. Ebrahimi-Fard and H. Gangl (eds.),
Springer Proceedings in Mathematics & Statistics 314 (2020), Springer, 621–630
Preprint arXiv:1504.07696 [math.NT] An abridged version appears as Problem 7 in "Report from the Open Problems Session at OPSFA13", Howard S. Cohl (ed.), Special Issue on Orthogonal Polynomials, Special Functions and Applications, SIGMA 12 (2016), 071, 12 pages arXiv:1607.06196 [math.CA] |
107 | M. Lalín, D. Samart & W. Zudilin |
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Further explorations of Boyd's conjectures and a conductor 21 elliptic curve | |
J. London Math. Soc. (2) 93:2 (2016), 341–360
Preprint arXiv:1507.08743 [math.NT] |
108 | W. Zudilin |
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A determinantal approach to irrationality | |
Constructive Approximation 45:2 (2017), 301–310
Preprint arXiv:1507.05697 [math.NT] |
109 | A. Haynes & W. Zudilin |
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Hankel determinants of zeta values | |
in Special Issue on Orthogonal Polynomials, Special Functions and Applications,
SIGMA 11 (2015), 101, 5 pages
Preprint arXiv:1510.01901 [math.NT] |
110 | S. Cooper, J. Wan & W. Zudilin |
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Holonomic alchemy and series for 1/π | |
in Analytic Number Theory, Modular Forms and q-Hypergeometric Series,
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Springer Proceedings in Mathematics & Statistics 221 (2018), Springer, 179–205
Preprint arXiv:1512.04608 [math.NT] |
111 | M. J. Bertin & W. Zudilin |
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On the Mahler measure of hyperelliptic families | |
Ann. Math. Québec 41:1 (2017), 199–211
Preprint arXiv:1601.07583 [math.NT] |
112 | W. Zudilin |
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On the irrationality of generalized q-logarithm | |
Research in Number Theory 2 (2016), Art. 15, 10 pages
Preprint arXiv:1601.02688 [math.NT] |
113 | S. Cooper, J. Guillera, A. Straub & W. Zudilin |
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Crouching AGM, Hidden Modularity | |
in Frontiers in Orthogonal Polynomials and q-Series,
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1 (2018), World Scientific, 169–187
Preprint arXiv:1604.01106 [math.NT] |
114 | S. Cooper & W. Zudilin |
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Hypergeometric modular equations | |
J. Austral. Math. Soc. 107:3 (2019), 338–366
Preprint arXiv:1609.07276 [math.NT] |
115 | W. Zudilin |
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Hypergeometric heritage of W.N. Bailey | |
Not. Intern. Congress Chinese Mathematicians 7:2 (2019), 32–46
Preprint arXiv:1611.08806 [math.NT] |
116 | R. Osburn, A. Straub & W. Zudilin |
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A modular supercongruence for 6F5: an Apéry-like story | |
Annales de l'Institut Fourier 68:5 (2018), 1987–2004
cedram link
Preprint arXiv:1701.04098 [math.NT] |
117 | T. Matala-aho & W. Zudilin |
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Euler's factorial series and global relations | |
J. Number Theory 186 (2018), 202–210
Preprint arXiv:1703.02633 [math.NT] |
118 | L. Long, F.-T. Tu, N. Yui & W. Zudilin |
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Supercongruences for rigid hypergeometric Calabi–Yau threefolds | |
Adv. in Math. 393 (2021), Art. 108058, 49 pages
Preprint arXiv:1705.01663 [math.NT] An announcement version in 2017 MATRIX Annals, MATRIX Book Ser. 2 (2019), Springer, 467–470 |
119 | F. Luca, G. Polanco & W. Zudilin |
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A variation on the theme of Nicomachus | |
Bull. Austral. Math. Soc. 97:3 (2018), 367–373
Preprint arXiv:1707.09477 [math.NT] |
120 | D. Broadhurst & W. Zudilin |
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A magnetic double integral | |
J. Austral. Math. Soc. 107:1 (2019), 9–25
Preprint arXiv:1708.02381 [math.NT] |
121 | V. Paşol & W. Zudilin |
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A study of elliptic gamma function and allies | |
in Modular Forms are Everywhere: Celebration of Don Zagier's 65th Birthday,
Research in Math. Sci. 5:4 (2018), Art. 39, 11 pages
Preprint arXiv:1801.00210 [math.NT] |
122 | A. Straub & W. Zudilin |
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Short walk adventures | |
in From Analysis to Visualization: A Celebration of the Life and Legacy of Jonathan M. Borwein (Callaghan, Australia, September 2017),
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Springer Proceedings in Mathematics & Statistics 313 (2020), Springer, 423–439
Preprint arXiv:1801.06002 [math.NT] |
123 | W. Zudilin |
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One of the odd zeta values from ζ(5) to ζ(25) is irrational. By elementary means | |
in Special Issue on Orthogonal Polynomials, Special Functions and Applications,
SIGMA 14 (2018), 028, 8 pages
Preprint arXiv:1801.09895 [math.NT] |
124 | V. J. W. Guo & W. Zudilin |
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Ramanujan-type formulae for 1/π: q-analogues | |
Integral Transforms Spec. Functions 29:7 (2018), 505–513
Preprint arXiv:1802.04616 [math.NT] |
125 | C. Krattenthaler & W. Zudilin |
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Hypergeometry inspired by irrationality questions | |
Kyushu J. Math. 73:1 (2019), 189–203
Preprint arXiv:1802.08856 [math.NT] |
126 | V. J. W. Guo & W. Zudilin |
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A q-microscope for supercongruences | |
Adv. in Math. 346 (2019), 329–358
Preprint arXiv:1803.01830 [math.NT] |
127 | T. Rivoal & W. Zudilin |
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A note on odd zeta values | |
Sém. Lothar. Combin. 81 (2020), Art. B81b, 13 pages
Preprint arXiv:1803.03160 [math.NT] |
128 | W. Zudilin |
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Ramanujan and odd zeta values | |
in Encyclopedia of Ramanujan and His Mathematics, K. Alladi, G.E. Andrews, B.C. Berndt and K. Ono (eds.), Springer (to appear), 5 pages |
129 | S. Fischler, J. Sprang & W. Zudilin |
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Many odd zeta values are irrational | |
Compositio Math. 155:5 (2019), 938–952
Preprint arXiv:1803.08905 [math.NT] An announcement version in Comptes Rendus Math. Acad. Sci. Paris 356:7 (2018), 707–711 |
130 | W. Zudilin |
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(q-)Congruences: Appendix to "WZ pairs and q-analogues of Ramanujan series for 1/π" by J. Guillera | |
J. Diff. Equat. Appl. 24:12 (2018), 1871–1879
Preprint arXiv:1803.08477 [math.NT] |
131 | W. Zudilin |
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Some hypergeometric integrals for linear forms in zeta values | |
Bull. Austral. Math. Soc. 98:3 (2018), 372–375
Preprint arXiv:1804.04129 [math.NT] |
132 | W. Zudilin |
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Arithmetic of Catalan's constant and its relatives | |
Abhandlungen Math. Seminar Univ. Hamburg 89:1 (2019), 45–53
Preprint arXiv:1804.09922 [math.NT] |
133 | W. Zudilin |
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A hypergeometric version of the modularity of rigid Calabi–Yau manifolds | |
in Special Issue on Modular Forms and String Theory in honor of Noriko Yui,
SIGMA 14 (2018), 086, 16 pages
Preprint arXiv:1805.00544 [math.NT] |
134 | V. J. W. Guo & W. Zudilin |
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On a q-deformation of modular forms | |
J. Math. Anal. Appl. 475:2 (2019), 1636–1646
Preprint arXiv:1812.11322 [math.NT] |
135 | W. Zudilin |
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Congruences for q-binomial coefficients | |
Annals of Combinatorics 23:3-4 (2019), 1123–1135
Reprinted in George E. Andrews–80 years of combinatory analysis, K. Alladi et al. (eds.), Trends in Mathematics (2021), Birkhäuser/Springer, 769–781 Preprint arXiv:1901.07843 [math.NT] |
136 | R. Marcovecchio & W. Zudilin |
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Hypergeometric rational approximations to ζ(4) | |
Proc. Edinburgh Math. Soc. 63:2 (2020), 374–397
Preprint arXiv:1905.12579 [math.NT] |
137 | L. Dembélé, A. Panchishkin, J. Voight & W. Zudilin |
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Special hypergeometric motives and their L-functions: Asai recognition | |
Experimental Math. 31:4 (2022), 1278–1290
Preprint arXiv:1906.07384 [math.NT] |
138 | S. Ole Warnaar & W. Zudilin |
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q-rious and q-riouser | |
in Dick Askey's Liber Amicorum, Contribution #77 (as of 28 January 2020)
Preprint arXiv:1909.07045 [math.NT] |
139 | V. J. W. Guo & W. Zudilin |
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A common q-analogue of two supercongruences | |
Results in Math. 75:2 (2020), Art. 46, 11 pages
Preprint arXiv:1910.10932 [math.NT] |
140 | S. B. Ekhad, D. Zeilberger & W. Zudilin |
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Two definite integrals that are definitely (and surprisingly!) equal | |
Math. Intelligencer 42:3 (2020), 10–11
Preprint arXiv:1911.01423 [math.CA] |
141 | D. Zeilberger & W. Zudilin |
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The irrationality measure of π is at most 7.103205334137... | |
Moscow J. Combin. Number Theory 9:4 (2020), 407–419
Preprint arXiv:1912.06345 [math.NT] |
142 | W. Zudilin |
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The method of creative microscoping | |
in Analytic Number Theory and Related Topics,
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RIMS Kôkyûroku no. 2162 (Kyoto Univ., July 2020), 227–234
Preprint arXiv:1912.06829 [math.NT] |
143 | D. Zeilberger & W. Zudilin |
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Automatic discovery of irrationality proofs and irrationality measures | |
Intern. J. Number Theory 17:3 (2021), 815–825
Preprint arXiv:1912.10381 [math.NT] |
144 | V. J. W. Guo & W. Zudilin |
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Dwork-type supercongruences through a creative q-microscope | |
J. Combin. Theory Ser. A 178 (2021), Art. 105362
Preprint arXiv:2001.02311 [math.NT] |
145 | C. Schneider & W. Zudilin |
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A case study for ζ(4) | |
in Transcendence in Algebra, Combinatorics, Geometry and Number Theory,
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Springer Proceedings in Mathematics & Statistics 373 (2021), Springer, 421–435
Preprint arXiv:2004.08158 [math.NT] |
146 | W. Zudilin |
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Diophantine problems related to the Omega constant | |
Preprint arXiv:2004.11029 [math.NT] (April 2020), 2 pages |
147 | V. Paşol & W. Zudilin |
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Magnetic (quasi-)modular forms | |
Nagoya Math. J. 248 (2022), 849–864
Preprint arXiv:2009.14609 [math.NT] |
148 | W. Zudilin |
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(q-)Supercongruences hit again | |
Hardy–Ramanujan J. 43 (2020), 46–55
Preprint arXiv:2011.12084 [math.NT] |
149 | J.-W. M. van Ittersum, B. Ringeling & W. Zudilin |
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Hedgehogs in Lehmer's problem | |
Bull. Austral. Math. Soc. 105:2 (2022), 236–242
Preprint arXiv:2105.14837 [math.NT] |
150 | A. Uncu & W. Zudilin |
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Reflecting (on) the modulo 9 Kanade–Russell (conjectural) identities | |
Sém. Lothar. Combin. 85 (2021), Art. B85e, 17 pages
Preprint arXiv:2106.02959 [math.NT] |
151 | A. Varchenko & W. Zudilin |
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Ghosts and congruences for ps-approximations of hypergeometric periods | |
J. Austral. Math. Soc. 116:1 (2024), 96–127
Preprint arXiv:2107.08548 [math.NT] |
152 | W. Zudilin |
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The birthday boy problem | |
Preprint arXiv:2108.06586 [math.NT] (August 2021), 4 pages |
153 | A. Varchenko & W. Zudilin |
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Congruences for Hasse–Witt matrices and solutions of p-adic KZ equations | |
Pure Appl. Math. Quart. 20:1 (2024), 565–597
Preprint arXiv:2108.12679 [math.NT] |
154 | W. Zudilin |
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Mahler measure numerology | |
Preprint arXiv:2109.08554 [math.NT] (September 2021), 4 pages |
155 | W. Zudilin |
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Apéry limits and Mahler measures | |
Preprint arXiv:2109.12972 [math.NT] (September 2021), 6 pages |
156 | B. Ringeling & W. Zudilin |
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Exercising in complex Mahler measures: diamonds are not forever | |
Preprint arXiv:2109.14380 [math.NT] (September 2021), 5 pages |
157 | C. Koutschan & W. Zudilin |
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Apéry limits for elliptic L-values | |
Bull. Austral. Math. Soc. 106:2 (2022), 273–279
Preprint arXiv:2111.08796 [math.NT] RICAM Report 2021-34 (2021) |
158 | A. Straub & W. Zudilin |
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Sums of powers of binomials, their Apéry limits, and Franel's suspicions | |
Intern. Math. Research Notices 2023:11 (2023), 9861–9879
Preprint arXiv:2112.09576 [math.NT] |
159 | F. Brown & W. Zudilin |
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On cellular rational approximations to ζ(5) | |
Preprint arXiv:2210.03391 [math.NT] (October 2022), 31 pages |
160 | F. Brunault & W. Zudilin |
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Modular regulators and multiple Eisenstein values | |
Preprint arXiv:2303.15554 [math.NT] (March 2023), 38 pages |
161 | M. van Hoeij, D. van Straten & W. Zudilin |
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A hyperelliptic saga on a generating function of the squares of Legendre polynomials | |
Preprint arXiv:2306.04921 [math.NT] (June 2023), 24 pages |
162 | W. Zudilin |
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Continued fractions of cubic irrationalities | |
Preprint arXiv:2311.16596 [math.NT] (November 2023), 6 pages |
163 | W. Zudilin |
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A strange identity of an MF (Mahler function) | |
Preprint arXiv:2403.13604 [math.NT] (March 2024), 4 pages |
164 | C. Krattenthaler & W. Zudilin |
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A remarkable basic hypergeometric identity | |
Preprint arXiv:2406.02954 [math.NT] (June 2024), 6 pages |
Started: July 2, 1997