Edit Profile (opens in new tab) Zudilin, Wadim Co-Author Distance Author ID: zudilin.wadim Published as: Zudilin, Wadim; Zudilin, V. V.; Zudilin, W.; Zudilin, W. V. more...less Further Spellings: Зудилин Вадим Валентинович Homepage: http://www.math.ru.nl/~wzudilin/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef · theses.fr Documents Indexed: 167 Publications since 1995, including 3 Books and 18 Additional arXiv Preprints 1 Contribution as Editor · 2 Further Contributions Reviewing Activity: 62 Reviews Co-Authors: 66 Co-Authors with 90 Joint Publications 2,289 Co-Co-Authors all top 5 Co-Authors 77 single-authored 7 Straub, Armin 6 Wan, James Gu Feng 5 Chan, Heng Huat 5 Guo, Victor J. W. 5 Väänänen, Keijo O. 4 Almkvist, Gert 4 Borwein, Jonathan Michael 4 van Straten, Duco 4 Warnaar, S. Ole 3 Bundschuh, Peter 3 Cooper, Shaun 3 Fischler, Stéphane 3 Guillera, Jesús 3 Krattenthaler, Christian Friedrich 3 Long, Ling 3 Rivoal, Tanguy 3 Zeilberger, Doron 2 Bertin, Marie-Jose 2 Bertrand, Daniel 2 Broadhurst, David John 2 Brunault, François 2 Matala-aho, Tapani 2 Ohno, Yasuo 2 Osburn, Robert 2 Pasol, Vicentiu 2 Ringeling, Berend 2 Rogers, Mathew D. 2 Sprang, Johannes 2 Tu, Fang-Ting 2 Varchenko, Alexander Nikolaevich 2 Viola, Carlo 2 Yang, Yifan 2 Yui, Noriko 1 Bailey, David Harold 1 Brent, Richard Peirce 1 Brown, Francis C. S. 1 Chappell, Tom 1 Coons, Michael 1 Dauguet, Simon 1 Dembélé, Lassina 1 Ekhad, Shalosh B. (computer) 1 Gallot, Yves 1 Haynes, Alan K. 1 Hessami Pilehrood, Khodabakhsh 1 Hessami Pilehrood, Tatiana 1 Koutschan, Christoph 1 Lalín, Matilde Noemí 1 Lascoux, Alain 1 Luca, Florian 1 Marcovecchio, Raffaele 1 Moree, Pieter 1 Okuda, Jun-ichi 1 Panchishkin, Alexei A. 1 Polanco, Geremías 1 Rochev, Igor 1 Samart, Detchat 1 Shallit, Jeffrey Outlaw 1 Shparlinski, Igor E. 1 Sondow, Jonathan D. 1 Tanigawa, Yoshio 1 Uncu, Ali Kemal 1 van der Poorten, Alfred J. 1 van Enckevort, Christian 1 van Hoeij, Mark 1 van Ittersum, Jan-Willem M. 1 Voight, John Michael all top 5 Serials 12 Mathematical Notes 9 Russian Mathematical Surveys 6 Sbornik: Mathematics 5 Bulletin of the Australian Mathematical Society 5 Journal of Number Theory 4 Journal of Approximation Theory 3 Advances in Mathematics 3 Journal of Computational and Applied Mathematics 3 IMRN. International Mathematics Research Notices 3 Journal de Théorie des Nombres de Bordeaux 3 Izvestiya: Mathematics 3 Séminaire Lotharingien de Combinatoire 3 The Ramanujan Journal 3 Journal of the Australian Mathematical Society 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Acta Arithmetica 2 Compositio Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Journal of Mathematical Sciences (New York) 2 The Electronic Journal of Combinatorics 2 Chebyshevskiĭ Sbornik 2 Australian Mathematical Society Lecture Series 2 Annales Mathématiques du Québec 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 The Mathematical Intelligencer 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Combinatorial Theory. Series A 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Mathematika 1 Nagoya Mathematical Journal 1 Results in Mathematics 1 Hardy-Ramanujan Journal 1 Constructive Approximation 1 Aequationes Mathematicae 1 Experimental Mathematics 1 Kyushu Journal of Mathematics 1 Integral Transforms and Special Functions 1 Annals of Combinatorics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 International Journal of Number Theory 1 International Journal of Mathematics and Computer Science 1 Communications in Number Theory and Physics 1 Monographs in Number Theory 1 Moscow Journal of Combinatorics and Number Theory 1 Springer Proceedings in Mathematics & Statistics 1 Mathematics 1 ICCM Notices 1 Research in the Mathematical Sciences 1 Research in Number Theory all top 5 Fields 155 Number theory (11-XX) 100 Special functions (33-XX) 17 Algebraic geometry (14-XX) 12 Combinatorics (05-XX) 7 Ordinary differential equations (34-XX) 6 Functions of a complex variable (30-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Approximations and expansions (41-XX) 5 Numerical analysis (65-XX) 4 \(K\)-theory (19-XX) 4 Difference and functional equations (39-XX) 3 Field theory and polynomials (12-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 135 Publications have been cited 1,599 times in 862 Documents Cited by ▼ Year ▼ A \(q\)-microscope for supercongruences. Zbl 1464.11028 Guo, Victor J. W.; Zudilin, Wadim 136 2019 Ramanujan-type supercongruences. Zbl 1231.11147 Zudilin, Wadim 107 2009 Generalizations of Clausen’s formula and algebraic transformations of Calabi-Yau differential equations. Zbl 1223.33007 Almkvist, Gert; van Straten, Duco; Zudilin, Wadim 53 2011 Congruences for \(q\)-binomial coefficients. Zbl 1431.11032 Zudilin, Wadim 52 2019 Zeta stars. Zbl 1228.11132 Ohno, Yasuo; Zudilin, Wadim 44 2008 On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062 Osburn, Robert; Zudilin, Wadim 39 2016 One of the numbers \(\zeta(5)\), \(\zeta(7)\), \(\zeta(9)\), \(\zeta(11)\) is irrational. Zbl 1047.11072 Zudilin, V. V. 39 2001 Algebraic relations for multiple zeta values. Zbl 1171.11323 Zudilin, V. V. 38 2003 Dwork-type supercongruences through a creative \(q\)-microscope. Zbl 1473.11046 Guo, Victor J. W.; Zudilin, Wadim 38 2021 From \(L\)-series of elliptic curves to Mahler measures. Zbl 1260.11062 Rogers, Mathew; Zudilin, Wadim 33 2012 Arithmetic of linear forms involving odd zeta values. Zbl 1156.11327 Zudilin, Wadim 32 2004 Differential equations, mirror maps and zeta values. Zbl 1118.14043 Almkvist, Gert; Zudilin, Wadim 30 2006 Ramanujan-type formulae for \(1/\pi\): a second wind? Zbl 1159.11053 Zudilin, Wadim 30 2008 Densities of short uniform random walks. Zbl 1296.33011 Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim 30 2012 “Divergent” Ramanujan-type supercongruences. Zbl 1276.11027 Guillera, Jesús; Zudilin, Wadim 29 2012 On a \(q\)-deformation of modular forms. Zbl 1445.11014 Guo, Victor J. W.; Zudilin, Wadim 26 2019 Neverending fractions. An introduction to continued fractions. Zbl 1307.11001 Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim 25 2014 New analogues of Clausen’s identities arising from the theory of modular forms. Zbl 1234.33009 Chan, Heng Huat; Tanigawa, Yoshio; Yang, Yifan; Zudilin, Wadim 24 2011 Irrationality of values of the Riemann zeta function. Zbl 1114.11305 Zudilin, W. 24 2002 A common \(q\)-analogue of two supercongruences. Zbl 1439.33007 Guo, Victor J. W.; Zudilin, Wadim 24 2020 New representations for Apéry-like sequences. Zbl 1275.11035 Chan, Heng Huat; Zudilin, Wadim 23 2010 On the Mahler measure of \(1+X+1/X+Y +1/Y\). Zbl 1378.11091 Rogers, Mathew; Zudilin, Wadim 23 2014 Diophantine properties of numbers related to Catalan’s constant. Zbl 1028.11046 Rivoal, T.; Zudilin, W. 23 2003 Cyclic \(q\)-MZSV sum. Zbl 1268.11119 Ohno, Yasuo; Okuda, Jun-Ichi; Zudilin, Wadim 19 2012 Legendre polynomials and Ramanujan-type series for \(1/\pi\). Zbl 1357.11123 Chan, Heng Huat; Wan, James; Zudilin, Wadim 18 2013 Dedekind’s \(\eta \)-function and Rogers-Ramanujan identities. Zbl 1234.05040 Warnaar, S. Ole; Zudilin, Wadim 17 2012 Basic hypergeometric series, \(q\)-analoges, of the values of the zeta function, and Eisenstein series. (Séries hypergéométriques basiques, \(q\)-analogues des valeurs de la fonction zêta et séries d’Eisenstein.) Zbl 1089.11038 Krattenthaler, C.; Rivoal, T.; Zudilin, W. 17 2006 Regulator of modular units and Mahler measures. Zbl 1386.11129 Zudilin, Wadim 17 2014 Ramanujan-type formulae for \(1/\pi: q\)-analogues. Zbl 1436.11024 Guo, Victor J. W.; Zudilin, Wadim 16 2018 The hypergeometric equation and Ramanujan functions. Zbl 1072.11052 Zudilin, W. 14 2003 Well-poised hypergeometric series for Diophantine problems of zeta values. Zbl 1156.11326 Zudilin, Wadim 14 2003 Many variations of Mahler measures. A lasting symphony. Zbl 1476.11002 Brunault, François; Zudilin, Wadim 14 2020 Arithmetic hypergeometric series. Zbl 1225.33008 Zudilin, V. V. 13 2011 A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088 Fischler, Stéphane; Zudilin, Wadim 13 2010 On three theorems of Folsom, Ono and Rhoades. Zbl 1311.11026 Zudilin, Wadim 13 2015 Many odd zeta values are irrational. Zbl 1430.11097 Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 13 2019 Euler’s factorial series and global relations. Zbl 1444.11037 Matala-aho, Tapani; Zudilin, Wadim 13 2018 Generating functions of Legendre polynomials: A tribute to Fred Brafman. Zbl 1242.33018 Wan, James; Zudilin, Wadim 12 2012 An Apéry-like difference equation for Catalan’s constant. Zbl 1093.11075 Zudilin, W. 12 2003 A \(q\)-rious positivity. Zbl 1234.11023 Warnaar, S. Ole; Zudilin, W. 11 2011 Diophantine problems for \(q\)-zeta values. Zbl 1044.11066 Zudilin, V. V. 11 2002 A modular supercongruence for \({}_6 F_5\): an Apéry-like story. (Une supercongruence modulaire pour \({}_6 F_5\): un conte à la Apéry.) Zbl 1429.11039 Osburn, Robert; Straub, Armin; Zudilin, Wadim 11 2018 More Ramanujan-type formulae for \(1/\pi^2\). Zbl 1203.11088 Zudilin, V. V. 10 2007 Heine’s basic transform and a permutation group for \(q\)-harmonic series. Zbl 1052.11053 Zudilin, Wadim 10 2004 Euler’s constant, \(q\)-logarithms, and formulas of Ramanujan and Gosper. Zbl 1132.11056 Sondow, Jonathan; Zudilin, Wadim 10 2006 Approximations to \(q\)-logarithms and \(q\)-dilogarithms, with applications to \(q\)-zeta values. Zbl 1088.11052 Zudilin, W. 10 2005 Quadratic transformations and Guillera’s formulas for \(1/\pi^2\). Zbl 1144.33002 Zudilin, V. V. 9 2007 On the transcendence degree of the differential field generated by Siegel modular forms. Zbl 1130.11020 Bertrand, D.; Zudilin, W. 9 2003 Period(d)ness of \(L\)-values. Zbl 1316.11038 Zudilin, Wadim 9 2013 Approximations to di- and tri-logarithms. Zbl 1220.65028 Zudilin, Wadim 8 2007 On the Mahler measure of a family of genus 2 curves. Zbl 1347.11076 Bertin, Marie José; Zudilin, Wadim 8 2016 Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104 Brent, Richard P.; Coons, Michael; Zudilin, Wadim 8 2016 Ramanujan-type formulae for \(1/\pi\): the art of translation. Zbl 1371.11162 Guillera, Jesús; Zudilin, Wadim 8 2013 Multiple \(q\)-zeta brackets. Zbl 1312.11069 Zudilin, Wadim 8 2015 On the integrality of power expansions related to hypergeometric series. Zbl 1043.11060 Zudilin, V. V. 8 2002 Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047 Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 8 2021 Many values of the Riemann zeta function at odd integers are irrational. (Beaucoup de valeurs aux entiers impairs de la fonction zêta de Riemann sont irrationnelles.) Zbl 1398.11109 Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 8 2018 An essay on the irrationality measure of \(\pi\) and other logarithms. Zbl 1140.11036 Zudilin, V. V. 7 2004 New irrationality measures for \(q\)-logarithms. Zbl 1158.11033 Matala-aho, Tapani; Väänänen, Keijo; Zudilin, Wadim 7 2006 One of the odd zeta values from \(\zeta(5)\) to \(\zeta(25)\) is irrational. By elementary means. Zbl 1445.11063 Zudilin, Wadim 7 2018 On the irrationality measure for a \(q\)-analogue of \(\zeta(2)\). Zbl 1044.11067 Zudilin, W. V. 7 2002 Lower bounds for polynomials in the values of certain entire functions. Zbl 0878.11030 Zudilin, V. V. 7 1996 On a measure of irrationality for values of \(G\)-functions. Zbl 0931.11025 Zudilin, V. V. 7 1996 Two hypergeometric tales and a new irrationality measure of \(\zeta (2)\). Zbl 1307.11085 Zudilin, Wadim 7 2014 Irrationality measures for certain \(q\)-mathematical constants. Zbl 1153.11034 Bundschuh, Peter; Zudilin, Wadim 7 2007 A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017 Chan, Heng Huat; Long, Ling; Zudilin, V. V. 6 2010 Thetanulls and differential equations. Zbl 1021.11011 Zudilin, V. V. 6 2000 Well-poised hypergeometric transformations of Euler-type multiple integrals. Zbl 1065.11054 Zudilin, W. 6 2004 On the Mahler measure of hyperelliptic families. Zbl 1434.11211 Bertin, Marie José; Zudilin, Wadim 6 2017 Experimental mathematics and mathematical physics. Zbl 1221.82006 Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim 6 2010 Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053 Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 6 2019 The Erdős–Moser equation \(1^k+2^k+\cdots +(m-1)^k=m^k\) revisited using continued fractions. Zbl 1231.11038 Gallot, Yves; Moree, Pieter; Zudilin, Wadim 5 2011 Linear independence of dilogarithmic values. Zbl 1454.11131 Viola, Carlo; Zudilin, Wadim 5 2018 Apéry’s theorem. Thirty years after. Zbl 1223.11089 Zudilin, Wadim 5 2009 Very well-poised hypergeometric series and multiple integrals. Zbl 1229.33011 Zudilin, V. V. 5 2002 Ramanujan-type formulae and irrationality measures of some multiples of \(\pi\). Zbl 1114.11064 Zudilin, V. V. 5 2005 Some remarks on linear forms containing Catalan’s constant. Zbl 1099.11036 Zudilin, V. V. 5 2002 On the non-quadraticity of values of the \(q\)-exponential function and related \(q\)-series. Zbl 1232.11080 Krattenthaler, Christian; Rochev, Igor; Väänänen, Keijo; Zudilin, Wadim 5 2009 Further explorations of Boyd’s conjectures and a conductor 21 elliptic curve. Zbl 1337.11072 Lalín, Matilde; Samart, Detchat; Zudilin, Wadim 5 2016 A third-order Apéry-like recursion for \(\zeta(5)\). Zbl 1041.11057 Zudilin, V. V. 5 2002 Hypergeometry inspired by irrationality questions. Zbl 1450.11072 Krattenthaler, Christian; Zudilin, Wadim 5 2019 The irrationality measure of \(\pi\) is at most 7.103205334137…. Zbl 1456.11129 Zeilberger, Doron; Zudilin, Wadim 5 2020 A hypergeometric version of the modularity of rigid Calabi-Yau manifolds. Zbl 1456.11073 Zudilin, Wadim 5 2018 A note on odd zeta values. Zbl 1470.11203 Rivoal, Tanguy; Zudilin, Wadim 5 2020 A generating function of the squares of Legendre polynomials. Zbl 1334.33022 Zudilin, Wadim 5 2014 A magnetic double integral. Zbl 1470.11068 Broadhurst, David; Zudilin, Wadim 5 2019 A new lower bound for \(\|(3/2)^k\|\). Zbl 1127.11049 Zudilin, Wadim 4 2007 Difference equations and the irrationality measure of numbers. Zbl 0910.11032 Zudilin, V. V. 4 1997 On a combinatorial problem of Asmus Schmidt. Zbl 1126.11012 Zudilin, W. 4 2004 Apéry limits of differential equations of order 4 and 5. Zbl 1159.14019 Almkvist, Gert; van Straten, Duco; Zudilin, Wadim 4 2008 On theorems of Gelfond and Selberg concerning integral-valued entire functions. Zbl 1081.11051 Bundschuh, Peter; Zudilin, Wadim 4 2004 Baker-type estimates for linear forms in the values of \(q\)-series. Zbl 1064.11054 Väänänen, Keijo; Zudilin, Wadim 4 2005 On simultaneous Diophantine approximations to \(\zeta(2)\) and \(\zeta(3)\). Zbl 1315.11062 Dauguet, Simon; Zudilin, Wadim 4 2014 Derivatives of Siegel modular forms and exponential functions. Zbl 1021.11013 Bertrand, D.; Zudilin, W. 4 2001 Positivity of rational functions and their diagonals. Zbl 1374.05023 Straub, Armin; Zudilin, Wadim 4 2015 One of the eight numbers \(\zeta(5),\zeta(7),\cdots,\zeta(17),\zeta(19)\) is irrational. Zbl 1022.11035 Zudilin, V. V. 4 2001 Remarks on irrationality of \(q\)-harmonic series. Zbl 1044.11068 Zudilin, Wadim 4 2002 On rational approximations of values of a certain class of entire functions. Zbl 0848.11031 Zudilin, V. V. 3 1995 On the irrationality of the values of the zeta function at odd integer points. Zbl 1037.11048 Zudilin, V. V. 3 2001 A hypergeometric problem. Zbl 1178.33007 Zudilin, Wadim 3 2009 Sums of powers of binomials, their Apéry limits, and Franel’s suspicions. Zbl 1519.11009 Straub, Armin; Zudilin, Wadim 1 2023 Special hypergeometric motives and their \(L\)-functions: Asai recognition. Zbl 1511.11047 Dembélé, Lassina; Panchishkin, Alexei; Voight, John; Zudilin, Wadim 2 2022 Apéry limits for elliptic \(L\)-values. Zbl 1503.11082 Koutschan, Christoph; Zudilin, Wadim 1 2022 Hedgehogs in Lehmer’s problem. Zbl 1494.11089 van Ittersum, Jan-Willem M.; Ringeling, Berend; Zudilin, Wadim 1 2022 Dwork-type supercongruences through a creative \(q\)-microscope. Zbl 1473.11046 Guo, Victor J. W.; Zudilin, Wadim 38 2021 Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047 Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 8 2021 Reflecting (on) the modulo 9 Kanade-Russell (conjectural) identities. Zbl 1499.11311 Uncu, Ali; Zudilin, Wadim 3 2021 Automatic discovery of irrationality proofs and irrationality measures. Zbl 1468.11160 Zeilberger, Doron; Zudilin, Wadim 2 2021 A case study for \(\zeta (4)\). Zbl 1499.11271 Schneider, Carsten; Zudilin, Wadim 1 2021 A common \(q\)-analogue of two supercongruences. Zbl 1439.33007 Guo, Victor J. W.; Zudilin, Wadim 24 2020 Many variations of Mahler measures. A lasting symphony. Zbl 1476.11002 Brunault, François; Zudilin, Wadim 14 2020 The irrationality measure of \(\pi\) is at most 7.103205334137…. Zbl 1456.11129 Zeilberger, Doron; Zudilin, Wadim 5 2020 A note on odd zeta values. Zbl 1470.11203 Rivoal, Tanguy; Zudilin, Wadim 5 2020 Two definite integrals that are definitely (and surprisingly!) equal. Zbl 1462.26003 Ekhad, Shalosh B.; Zeilberger, Doron; Zudilin, Wadim 2 2020 Hypergeometric rational approximations to \(\zeta (4)\). Zbl 1460.11104 Marcovecchio, Raffaele; Zudilin, Wadim 2 2020 Short walk adventures. Zbl 1448.33018 Straub, Armin; Zudilin, Wadim 1 2020 A \(q\)-microscope for supercongruences. Zbl 1464.11028 Guo, Victor J. W.; Zudilin, Wadim 136 2019 Congruences for \(q\)-binomial coefficients. Zbl 1431.11032 Zudilin, Wadim 52 2019 On a \(q\)-deformation of modular forms. Zbl 1445.11014 Guo, Victor J. W.; Zudilin, Wadim 26 2019 Many odd zeta values are irrational. Zbl 1430.11097 Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 13 2019 Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053 Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 6 2019 Hypergeometry inspired by irrationality questions. Zbl 1450.11072 Krattenthaler, Christian; Zudilin, Wadim 5 2019 A magnetic double integral. Zbl 1470.11068 Broadhurst, David; Zudilin, Wadim 5 2019 Hypergeometric heritage of W. N. Bailey. Zbl 1426.33001 Zudilin, Wadim 3 2019 Hypergeometric modular equations. Zbl 1428.33014 Cooper, Shaun; Zudilin, Wadim 1 2019 Ramanujan-type formulae for \(1/\pi: q\)-analogues. Zbl 1436.11024 Guo, Victor J. W.; Zudilin, Wadim 16 2018 Euler’s factorial series and global relations. Zbl 1444.11037 Matala-aho, Tapani; Zudilin, Wadim 13 2018 A modular supercongruence for \({}_6 F_5\): an Apéry-like story. (Une supercongruence modulaire pour \({}_6 F_5\): un conte à la Apéry.) Zbl 1429.11039 Osburn, Robert; Straub, Armin; Zudilin, Wadim 11 2018 Many values of the Riemann zeta function at odd integers are irrational. (Beaucoup de valeurs aux entiers impairs de la fonction zêta de Riemann sont irrationnelles.) Zbl 1398.11109 Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 8 2018 One of the odd zeta values from \(\zeta(5)\) to \(\zeta(25)\) is irrational. By elementary means. Zbl 1445.11063 Zudilin, Wadim 7 2018 Linear independence of dilogarithmic values. Zbl 1454.11131 Viola, Carlo; Zudilin, Wadim 5 2018 A hypergeometric version of the modularity of rigid Calabi-Yau manifolds. Zbl 1456.11073 Zudilin, Wadim 5 2018 A study of elliptic gamma function and allies. Zbl 1440.11063 Paşol, Vicenţiu; Zudilin, Wadim 2 2018 A variation on the theme of Nicomachus. Zbl 1410.11079 Luca, Florian; Polanco, Geremías; Zudilin, Wadim 1 2018 Crouching AGM, hidden modularity. Zbl 1437.11058 Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim 1 2018 On the Mahler measure of hyperelliptic families. Zbl 1434.11211 Bertin, Marie José; Zudilin, Wadim 6 2017 A determinantal approach to irrationality. Zbl 1367.11062 Zudilin, Wadim 3 2017 Holonomic alchemy and series for \(1/\pi \). Zbl 1391.11165 Cooper, Shaun; Wan, James G.; Zudilin, Wadim 3 2017 On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062 Osburn, Robert; Zudilin, Wadim 39 2016 On the Mahler measure of a family of genus 2 curves. Zbl 1347.11076 Bertin, Marie José; Zudilin, Wadim 8 2016 Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104 Brent, Richard P.; Coons, Michael; Zudilin, Wadim 8 2016 Further explorations of Boyd’s conjectures and a conductor 21 elliptic curve. Zbl 1337.11072 Lalín, Matilde; Samart, Detchat; Zudilin, Wadim 5 2016 On the irrationality of generalized \(q\)-logarithm. Zbl 1415.11099 Zudilin, Wadim 3 2016 On three theorems of Folsom, Ono and Rhoades. Zbl 1311.11026 Zudilin, Wadim 13 2015 Multiple \(q\)-zeta brackets. Zbl 1312.11069 Zudilin, Wadim 8 2015 Positivity of rational functions and their diagonals. Zbl 1374.05023 Straub, Armin; Zudilin, Wadim 4 2015 Hankel determinants of zeta values. Zbl 1387.11054 Haynes, Alan; Zudilin, Wadim 3 2015 Neverending fractions. An introduction to continued fractions. Zbl 1307.11001 Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim 25 2014 On the Mahler measure of \(1+X+1/X+Y +1/Y\). Zbl 1378.11091 Rogers, Mathew; Zudilin, Wadim 23 2014 Regulator of modular units and Mahler measures. Zbl 1386.11129 Zudilin, Wadim 17 2014 Two hypergeometric tales and a new irrationality measure of \(\zeta (2)\). Zbl 1307.11085 Zudilin, Wadim 7 2014 A generating function of the squares of Legendre polynomials. Zbl 1334.33022 Zudilin, Wadim 5 2014 On simultaneous Diophantine approximations to \(\zeta(2)\) and \(\zeta(3)\). Zbl 1315.11062 Dauguet, Simon; Zudilin, Wadim 4 2014 Legendre polynomials and Ramanujan-type series for \(1/\pi\). Zbl 1357.11123 Chan, Heng Huat; Wan, James; Zudilin, Wadim 18 2013 Period(d)ness of \(L\)-values. Zbl 1316.11038 Zudilin, Wadim 9 2013 Ramanujan-type formulae for \(1/\pi\): the art of translation. Zbl 1371.11162 Guillera, Jesús; Zudilin, Wadim 8 2013 Lost in translation. Zbl 1285.33008 Zudilin, Wadim 2 2013 Logarithmic and complex constant term identities. Zbl 1290.05152 Chappell, Tom; Lascoux, Alain; Warnaar, S. Ole; Zudilin, Wadim 2 2013 Generating functions of Legendre polynomials: a tribute to Fred Brafman. Zbl 1282.33015 Wan, James; Zudilin, Wadim 1 2013 From \(L\)-series of elliptic curves to Mahler measures. Zbl 1260.11062 Rogers, Mathew; Zudilin, Wadim 33 2012 Densities of short uniform random walks. Zbl 1296.33011 Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim 30 2012 “Divergent” Ramanujan-type supercongruences. Zbl 1276.11027 Guillera, Jesús; Zudilin, Wadim 29 2012 Cyclic \(q\)-MZSV sum. Zbl 1268.11119 Ohno, Yasuo; Okuda, Jun-Ichi; Zudilin, Wadim 19 2012 Dedekind’s \(\eta \)-function and Rogers-Ramanujan identities. Zbl 1234.05040 Warnaar, S. Ole; Zudilin, Wadim 17 2012 Generating functions of Legendre polynomials: A tribute to Fred Brafman. Zbl 1242.33018 Wan, James; Zudilin, Wadim 12 2012 Complex series for \(1/\pi\). Zbl 1336.11079 Chan, Heng Huat; Wan, James; Zudilin, Wadim 1 2012 Generalizations of Clausen’s formula and algebraic transformations of Calabi-Yau differential equations. Zbl 1223.33007 Almkvist, Gert; van Straten, Duco; Zudilin, Wadim 53 2011 New analogues of Clausen’s identities arising from the theory of modular forms. Zbl 1234.33009 Chan, Heng Huat; Tanigawa, Yoshio; Yang, Yifan; Zudilin, Wadim 24 2011 Arithmetic hypergeometric series. Zbl 1225.33008 Zudilin, V. V. 13 2011 A \(q\)-rious positivity. Zbl 1234.11023 Warnaar, S. Ole; Zudilin, W. 11 2011 The Erdős–Moser equation \(1^k+2^k+\cdots +(m-1)^k=m^k\) revisited using continued fractions. Zbl 1231.11038 Gallot, Yves; Moree, Pieter; Zudilin, Wadim 5 2011 New representations for Apéry-like sequences. Zbl 1275.11035 Chan, Heng Huat; Zudilin, Wadim 23 2010 A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088 Fischler, Stéphane; Zudilin, Wadim 13 2010 A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017 Chan, Heng Huat; Long, Ling; Zudilin, V. V. 6 2010 Experimental mathematics and mathematical physics. Zbl 1221.82006 Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim 6 2010 On \(\mathrm{Sp}_4\) modularity of Picard-Fuchs differential equations for Calabi-Yau threefolds. Zbl 1283.11073 Yang, Yifan; Zudilin, Wadim 2 2010 Ramanujan-type supercongruences. Zbl 1231.11147 Zudilin, Wadim 107 2009 Apéry’s theorem. Thirty years after. Zbl 1223.11089 Zudilin, Wadim 5 2009 On the non-quadraticity of values of the \(q\)-exponential function and related \(q\)-series. Zbl 1232.11080 Krattenthaler, Christian; Rochev, Igor; Väänänen, Keijo; Zudilin, Wadim 5 2009 A hypergeometric problem. Zbl 1178.33007 Zudilin, Wadim 3 2009 Zeta stars. Zbl 1228.11132 Ohno, Yasuo; Zudilin, Wadim 44 2008 Ramanujan-type formulae for \(1/\pi\): a second wind? Zbl 1159.11053 Zudilin, Wadim 30 2008 Apéry limits of differential equations of order 4 and 5. Zbl 1159.14019 Almkvist, Gert; van Straten, Duco; Zudilin, Wadim 4 2008 Rational approximations to a \(q\)-analogue of \(\pi\) and some other \(q\)-series. Zbl 1213.11146 Bundschuh, Peter; Zudilin, Wadim 2 2008 Hypergeometric transformations of linear forms in one logarithm. Zbl 1205.33008 Viola, Carlo; Zudilin, Wadim 1 2008 Linear independence of values of Tschakaloff functions with different parameters. Zbl 1173.11044 Väänänen, Keijo; Zudilin, Wadim 1 2008 More Ramanujan-type formulae for \(1/\pi^2\). Zbl 1203.11088 Zudilin, V. V. 10 2007 Quadratic transformations and Guillera’s formulas for \(1/\pi^2\). Zbl 1144.33002 Zudilin, V. V. 9 2007 Approximations to di- and tri-logarithms. Zbl 1220.65028 Zudilin, Wadim 8 2007 Irrationality measures for certain \(q\)-mathematical constants. Zbl 1153.11034 Bundschuh, Peter; Zudilin, Wadim 7 2007 A new lower bound for \(\|(3/2)^k\|\). Zbl 1127.11049 Zudilin, Wadim 4 2007 Linear independence of values of Tschakaloff series. Zbl 1173.11043 Väänänen, K.; Zudilin, V. V. 1 2007 An elementary proof of the irrationality of Tschakaloff series. Zbl 1204.11112 Zudilin, W. 1 2007 Differential equations, mirror maps and zeta values. Zbl 1118.14043 Almkvist, Gert; Zudilin, Wadim 30 2006 Basic hypergeometric series, \(q\)-analoges, of the values of the zeta function, and Eisenstein series. (Séries hypergéométriques basiques, \(q\)-analogues des valeurs de la fonction zêta et séries d’Eisenstein.) Zbl 1089.11038 Krattenthaler, C.; Rivoal, T.; Zudilin, W. 17 2006 Euler’s constant, \(q\)-logarithms, and formulas of Ramanujan and Gosper. Zbl 1132.11056 Sondow, Jonathan; Zudilin, Wadim 10 2006 New irrationality measures for \(q\)-logarithms. Zbl 1158.11033 Matala-aho, Tapani; Väänänen, Keijo; Zudilin, Wadim 7 2006 Approximations to \(q\)-logarithms and \(q\)-dilogarithms, with applications to \(q\)-zeta values. Zbl 1088.11052 Zudilin, W. 10 2005 Ramanujan-type formulae and irrationality measures of some multiples of \(\pi\). Zbl 1114.11064 Zudilin, V. V. 5 2005 Baker-type estimates for linear forms in the values of \(q\)-series. Zbl 1064.11054 Väänänen, Keijo; Zudilin, Wadim 4 2005 ...and 35 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 721 Authors 78 Guo, Victor J. W. 65 Zudilin, Wadim 22 Rivoal, Tanguy 19 Liu, Jicai 19 Wang, Xiaoxia 16 Fischler, Stéphane 15 Wei, Chuanan 14 Mao, Guo-Shuai 13 Straub, Armin 12 Guillera, Jesús 12 Schlosser, Michael J. 11 Lalín, Matilde Noemí 11 Ni, He-Xia 10 He, Bing 10 Hessami Pilehrood, Khodabakhsh 10 Hessami Pilehrood, Tatiana 10 Wan, James Gu Feng 9 Kalita, Gautam 9 Long, Ling 9 Matala-aho, Tapani 8 Bachmann, Henrik 8 Borwein, Jonathan Michael 8 Chan, Heng Huat 8 Rogers, Mathew D. 8 Väänänen, Keijo O. 7 Chirskiĭ, Vladimir Grigor’evich 7 Chu, Wenchang 7 Cooper, Shaun 7 Delaygue, Éric 7 Eie, Minking 7 Folsom, Amanda L. 6 Bundschuh, Peter 6 Ebrahimi-Fard, Kurusch 6 Genčev, Marian 6 Jana, Arijit 6 Krattenthaler, Christian Friedrich 6 Marcovecchio, Raffaele 6 Pan, Hao 6 Sun, Zhihong 6 van Straten, Duco 6 Zhou, Yajun 5 Blümlein, Johannes 5 Brunault, François 5 Gu, Chengyang 5 Hirata-Kohno, Noriko 5 Liu, Yudong 5 Maji, Bibekananda 5 Manchon, Dominique 5 Nesterenko, Yuriĭ Valentinovich 5 Osburn, Robert 5 Samart, Detchat 5 Singer, Johannes Maria 5 Sondow, Jonathan D. 5 Wang, Su-Dan 5 Warnaar, S. Ole 5 Ye, Dongxi 5 Zeilberger, Doron 5 Zhao, Jianqiang 4 Almkvist, Gert 4 Bringmann, Kathrin 4 Coons, Michael 4 Dixit, Atul 4 Kawashima, Makoto 4 Li, Long 4 Liu, Hang 4 Luca, Florian 4 Maillard, Jean-Marie 4 Milas, Antun 4 Murty, Maruti Ram 4 Pupyrev, Yuri A. 4 Qin, Hourong 4 Roques, Julien 4 Sprang, Johannes 4 Sun, Zhi-Wei 4 Van Assche, Walter 4 Wang, Liyuan 4 Xu, Chang 4 Yang, Yifan 4 Yu, Menglin 4 Zeng, Jiang 4 Zhang, Yong 3 Asakura, Masanori 3 Berndt, Bruce Carl 3 Bostan, Alin 3 Bouillot, Olivier 3 Bradley, David M. 3 Bugeaud, Yann 3 Campbell, John Maxwell 3 Chen, Bin 3 Chen, Xiaojing 3 Cohl, Howard Saul 3 David, Sinnou 3 D’Hoker, Eric 3 Dougherty-Bliss, Robert 3 El Bachraoui, Mohamed 3 Ernvall-Hytönen, Anne-Maria 3 Guo, Li 3 Guo, Xuejun 3 Gupta, Rajat 3 Ito, Ryojun ...and 621 more Authors all top 5 Cited in 185 Serials 68 The Ramanujan Journal 48 Journal of Number Theory 44 International Journal of Number Theory 37 Journal of Mathematical Analysis and Applications 28 Results in Mathematics 26 Proceedings of the American Mathematical Society 22 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 18 Journal of Difference Equations and Applications 17 Bulletin of the Australian Mathematical Society 16 Mathematical Notes 16 Advances in Mathematics 16 Advances in Applied Mathematics 15 Journal of High Energy Physics 14 Research in Number Theory 13 Journal de Théorie des Nombres de Bordeaux 11 Integral Transforms and Special Functions 10 Rocky Mountain Journal of Mathematics 10 Journal of the Australian Mathematical Society 9 Acta Arithmetica 9 Journal of Approximation Theory 9 Journal of Combinatorial Theory. Series A 9 Monatshefte für Mathematik 8 Compositio Mathematica 8 Transactions of the American Mathematical Society 8 Journal of Mathematical Sciences (New York) 7 Israel Journal of Mathematics 7 Journal of Algebra 7 Journal of Computational and Applied Mathematics 7 Manuscripta Mathematica 7 Mathematische Zeitschrift 7 Experimental Mathematics 7 Doklady Mathematics 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Journal of Physics A: Mathematical and Theoretical 6 Periodica Mathematica Hungarica 6 Journal of Symbolic Computation 6 Integers 5 American Mathematical Monthly 5 Mathematics of Computation 5 Duke Mathematical Journal 5 The Electronic Journal of Combinatorics 5 Journal of Integer Sequences 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Research in the Mathematical Sciences 4 Nuclear Physics. B 4 Czechoslovak Mathematical Journal 4 Functiones et Approximatio. Commentarii Mathematici 4 Journal of the London Mathematical Society. Second Series 4 Memoirs of the American Mathematical Society 4 Expositiones Mathematicae 3 Communications in Mathematical Physics 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Problems of Information Transmission 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Archiv der Mathematik 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Proceedings of the Japan Academy. Series A 3 Tokyo Journal of Mathematics 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Indagationes Mathematicae. New Series 3 Journal of Algebraic Combinatorics 3 Documenta Mathematica 3 Proceedings of the Steklov Institute of Mathematics 3 Moscow Journal of Combinatorics and Number Theory 3 Annales Mathématiques du Québec 3 Mathematics 3 AIMS Mathematics 3 Electronic Research Archive 2 Journal of Mathematical Physics 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Mathématique de France 2 Colloquium Mathematicum 2 Inventiones Mathematicae 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Nagoya Mathematical Journal 2 Constructive Approximation 2 Forum Mathematicum 2 International Journal of Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Annales Mathématiques Blaise Pascal 2 Selecta Mathematica. New Series 2 Bulletin des Sciences Mathématiques 2 Journal of Inequalities and Applications 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Mediterranean Journal of Mathematics 2 Oberwolfach Reports 2 Chebyshevskiĭ Sbornik 2 Algebra & Number Theory 2 Journal of Classical Analysis 2 Journal of Mathematics 1 Communications in Algebra 1 Computer Physics Communications 1 Discrete Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Statistical Physics ...and 85 more Serials all top 5 Cited in 48 Fields 715 Number theory (11-XX) 389 Special functions (33-XX) 173 Combinatorics (05-XX) 72 Algebraic geometry (14-XX) 37 Quantum theory (81-XX) 28 Approximations and expansions (41-XX) 26 Ordinary differential equations (34-XX) 25 Sequences, series, summability (40-XX) 24 Functions of a complex variable (30-XX) 23 Numerical analysis (65-XX) 20 Several complex variables and analytic spaces (32-XX) 20 Computer science (68-XX) 19 Probability theory and stochastic processes (60-XX) 18 \(K\)-theory (19-XX) 17 Nonassociative rings and algebras (17-XX) 14 Associative rings and algebras (16-XX) 13 Difference and functional equations (39-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Integral transforms, operational calculus (44-XX) 9 Field theory and polynomials (12-XX) 9 Real functions (26-XX) 8 Statistical mechanics, structure of matter (82-XX) 8 Relativity and gravitational theory (83-XX) 7 Mathematical logic and foundations (03-XX) 7 Partial differential equations (35-XX) 6 Group theory and generalizations (20-XX) 6 Differential geometry (53-XX) 5 General and overarching topics; collections (00-XX) 5 Commutative algebra (13-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Operator theory (47-XX) 3 History and biography (01-XX) 3 Statistics (62-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Functional analysis (46-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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