| 1 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| Thetanulls and differential equations | |
Sb. Math. 191:12 (2000), 1827–1871
Russian version in Mat. Sb. 191:12 (2000), 77–122
|
| 9 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| Hypergeometric equation and Ramanujan functions | |
Ramanujan J. 7:4 (2003), 435–447
|
| 12 | W. Zudilin |
|---|---|
| Transcendence problems of the mirror [Number theory casting a look at the mirror] | |
Preprint math.NT/0008237
|
| 13 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| Arithmetic of linear forms involving odd zeta values | |
J. Théor. Nombres Bordeaux 16:1 (2004), 251–291
Preprint math.NT/0206176 |
| 20 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| One parameter models of Hopf algebras assosiated with multiple zeta values | |
Preprint (16 June 2001), 11 pages
|
| 22 | W. Zudilin |
|---|---|
| Remarks on irrationality of q-harmonic series | |
Manuscripta Math. 107:4 (2002), 463–477
|
| 23 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| Heine's basic transform and a permutation group for q-harmonic series | |
Acta Arith. 111:2 (2004), 153–164
|
| 32 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| Baker-type estimates for linear forms in the values of q-series | |
Canad. Math. Bull. 48:1 (2005), 147–160
|
| 35 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| Well-poised hypergeometric transformations of Euler-type multiple integrals | |
J. London Math. Soc. (2) 70:1 (2004), 215–230
|
| 39 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| New irrationality measures for q-logarithms | |
Math. Comp. 75 (2006), no. 254, 879–889
|
| 41 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| On theorems of Gelfond and Selberg concerning integral-valued entire functions | |
J. Approx. Theory 130:2 (2004), 164–178
|
| 44 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| Approximations to -, di- and tri- logarithms | |
J. Comput. Appl. Math. 202:2 (2007), 450–459
Preprint math.CA/0409023 |
| 51 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| Computing powers of two generalizations of the logarithm | |
Sém. Lothar. Combin. 53 (2004/06), Art. B53c, 6 pages
|
| 53 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| Irrationality of certain numbers that contain values of the di- and trilogarithm | |
Math. Z. 254:2 (2006), 299–313
|
| 55 | P. Bundschuh & W. Zudilin |
|---|---|
| Irrationality measures for certain q-mathematical constants | |
Math. Scand. 101:1 (2007), 104–122
|
| 56 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| Linear independence of values of Tschakaloff functions with different parameters | |
J. Number Theory 128:9 (2008), 2549–2558
|
| 62 | W. Zudilin |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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. Pasol |
|---|---|
| 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 |
|---|---|
| Ramanujan-type supercongruences | |
J. Number Theory 129:8 (2009), 1848–1857
Preprint arXiv:0805.2788 [math.NT] |
| 69 | H.H. Chan & W. Zudilin |
|---|---|
| New representations for Apéry-like sequences | |
Mathematika 56:1 (2010), 107–117
|
| 70 | C. Krattenthaler, I. Rochev, K. Väänänen & W. Zudilin |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| A hypergeometric problem | |
J. Comput. Appl. Math. 233 (2009), 856–857
|
| 73 | H.H. Chan, Y. Tanigawa, Y. Yang & W. Zudilin |
|---|---|
| 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 |
|---|---|
| The Erdős–Moser equation 1k+2k+...+(m-1)k=mk revisited using continued fractions | |
Math. Comp. 80:274 (2011), 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 |
|---|---|
| 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 |
|---|---|
| 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 |
|---|---|
| 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 (to appear), 22 pages
Preprint arXiv:1102.1153 [math.NT] (February 2011) |
| 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, 30 pages
Preprint arXiv:1112.3130 [math.CO] (December 2011) |
| 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] (February 2012) |
| 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 Proceedings of the Waterloo Workshop in Computer Algebra (W80) (May 2011), In honour of Herbert S. Wilf,
I. Kotsireas and E.V. Zima (eds.),
Springer Proceedings in Mathematics & Statistics (to appear), Springer, 6 pages
Preprint arXiv:1210.0269 [math.NT] (September 2012) |
| 93 | W. Zudilin |
|---|---|
| A generating function of the squares of Legendre polynomials | |
Bull. Austral. Math. Soc. (to appear), 7 pages
Preprint arXiv:1210.2493 [math.CA] (October 2012) |
| 94 | J. Guillera & W. Zudilin |
|---|---|
| Ramanujan-type formulae for 1/π: The art of translation | |
|
in The Legacy of Srinivasa Ramanujan,
R. Balasubramanian et al. (eds.),
Ramanujan Math. Soc. Lecture Notes Series (to appear), 15 pages
Preprint arXiv:1302.0548 [math.NT] (February 2013) |
| 95 | W. Zudilin |
|---|---|
| Regulator of modular units and Mahler measures | |
| Preprint arXiv:1304.3869 [math.NT] (April 2013), 15 pages |
| 1 | J.M. Borwein, I. Shparlinski & W. Zudilin (eds.) |
|---|---|
| Number Theory and Related Fields, In memory of Alf van der Poorten | |
| Springer Proceedings in Mathematics & Statistics 43 (2013), Springer |
Started: July 2, 1997