Edit Profile (opens in new tab) Zudilin, Wadim Compute Distance To: Compute 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: 142 Publications since 1995, including 2 Books 1 Contribution as Editor · 2 Further Contributions Reviewing Activity: 62 Reviews Co-Authors: 58 Co-Authors with 78 Joint Publications 1,822 Co-Co-Authors all top 5 Co-Authors 65 single-authored 6 Straub, Armin 6 Wan, James Gu Feng 5 Chan, Heng Huat 5 Guo, Victor J. W. 5 Väänänen, Keijo O. 4 Borwein, Jonathan Michael 3 Almkvist, Gert 3 Bundschuh, Peter 3 Cooper, Shaun 3 Fischler, Stéphane 3 Guillera, Jesús 3 Krattenthaler, Christian Friedrich 3 Long, Ling 3 Rivoal, Tanguy 3 Warnaar, S. Ole 3 Zeilberger, Doron 2 Bertin, Marie-Jose 2 Bertrand, Daniel 2 Broadhurst, David John 2 Matala-aho, Tapani 2 Ohno, Yasuo 2 Osburn, Robert 2 Rogers, Mathew D. 2 Sprang, Johannes 2 Tu, Fang-Ting 2 van Straten, Duco 2 Viola, Carlo 2 Yang, Yifan 2 Yui, Noriko 1 Bailey, David Harold 1 Brent, Richard Peirce 1 Brunault, François 1 Chappell, Tom 1 Coons, Michael 1 Dauguet, Simon 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 Pasol, Vicentiu 1 Polanco, Geremías 1 Ringeling, Berend 1 Rochev, Igor 1 Samart, Detchat 1 Shallit, Jeffrey O. 1 Shparlinski, Igor E. 1 Sondow, Jonathan D. 1 Tanigawa, Yoshio 1 van der Poorten, Alfred J. 1 van Ittersum, Jan-Willem M. 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 Journal de Théorie des Nombres de Bordeaux 3 Izvestiya: Mathematics 3 The Ramanujan Journal 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 IMRN. International Mathematics Research Notices 2 Journal of Mathematical Sciences (New York) 2 The Electronic Journal of Combinatorics 2 Séminaire Lotharingien de Combinatoire 2 Journal of the Australian Mathematical Society 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 Results in Mathematics 1 Hardy-Ramanujan Journal 1 Constructive Approximation 1 Aequationes Mathematicae 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 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 134 Number theory (11-XX) 86 Special functions (33-XX) 11 Combinatorics (05-XX) 11 Algebraic geometry (14-XX) 6 Approximations and expansions (41-XX) 5 Functions of a complex variable (30-XX) 5 Ordinary differential equations (34-XX) 5 Numerical analysis (65-XX) 3 Difference and functional equations (39-XX) 2 Field theory and polynomials (12-XX) 2 \(K\)-theory (19-XX) 2 Several complex variables and analytic spaces (32-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 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 127 Publications have been cited 1,268 times in 689 Documents Cited by ▼ Year ▼ A \(q\)-microscope for supercongruences. Zbl 1464.11028Guo, Victor J. W.; Zudilin, Wadim 94 2019 Ramanujan-type supercongruences. Zbl 1231.11147Zudilin, Wadim 94 2009 Zeta stars. Zbl 1228.11132Ohno, Yasuo; Zudilin, Wadim 39 2008 Congruences for \(q\)-binomial coefficients. Zbl 1431.11032Zudilin, Wadim 36 2019 Generalizations of Clausen’s formula and algebraic transformations of Calabi-Yau differential equations. Zbl 1223.33007Almkvist, Gert; van Straten, Duco; Zudilin, Wadim 35 2011 On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062Osburn, Robert; Zudilin, Wadim 34 2016 Algebraic relations for multiple zeta values. Zbl 1171.11323Zudilin, V. V. 32 2003 One of the numbers \(\zeta(5)\), \(\zeta(7)\), \(\zeta(9)\), \(\zeta(11)\) is irrational. Zbl 1047.11072Zudilin, V. V. 32 2001 Arithmetic of linear forms involving odd zeta values. Zbl 1156.11327Zudilin, Wadim 30 2004 From \(L\)-series of elliptic curves to Mahler measures. Zbl 1260.11062Rogers, Mathew; Zudilin, Wadim 27 2012 Densities of short uniform random walks. Zbl 1296.33011Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim 26 2012 Ramanujan-type formulae for \(1/\pi\): a second wind? Zbl 1159.11053Zudilin, Wadim 26 2008 “Divergent” Ramanujan-type supercongruences. Zbl 1276.11027Guillera, Jesús; Zudilin, Wadim 23 2012 Irrationality of values of the Riemann zeta function. Zbl 1114.11305Zudilin, W. 22 2002 On a \(q\)-deformation of modular forms. Zbl 1445.11014Guo, Victor J. W.; Zudilin, Wadim 21 2019 Diophantine properties of numbers related to Catalan’s constant. Zbl 1028.11046Rivoal, T.; Zudilin, W. 21 2003 Differential equations, mirror maps and zeta values. Zbl 1118.14043Almkvist, Gert; Zudilin, Wadim 21 2006 Dwork-type supercongruences through a creative \(q\)-microscope. Zbl 1473.11046Guo, Victor J. W.; Zudilin, Wadim 21 2021 New representations for Apéry-like sequences. Zbl 1275.11035Chan, Heng Huat; Zudilin, Wadim 20 2010 New analogues of Clausen’s identities arising from the theory of modular forms. Zbl 1234.33009Chan, Heng Huat; Tanigawa, Yoshio; Yang, Yifan; Zudilin, Wadim 20 2011 Neverending fractions. An introduction to continued fractions. Zbl 1307.11001Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim 20 2014 On the Mahler measure of \(1+X+1/X+Y +1/Y\). Zbl 1378.11091Rogers, Mathew; Zudilin, Wadim 19 2014 A common \(q\)-analogue of two supercongruences. Zbl 1439.33007Guo, Victor J. W.; Zudilin, Wadim 18 2020 Cyclic \(q\)-MZSV sum. Zbl 1268.11119Ohno, Yasuo; Okuda, Jun-Ichi; 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 1089.11038Krattenthaler, C.; Rivoal, T.; Zudilin, W. 16 2006 Legendre polynomials and Ramanujan-type series for \(1/\pi\). Zbl 1357.11123Chan, Heng Huat; Wan, James; Zudilin, Wadim 15 2013 Regulator of modular units and Mahler measures. Zbl 1386.11129Zudilin, Wadim 15 2014 Dedekind’s \(\eta \)-function and Rogers-Ramanujan identities. Zbl 1234.05040Warnaar, S. Ole; Zudilin, Wadim 14 2012 Ramanujan-type formulae for \(1/\pi: q\)-analogues. Zbl 1436.11024Guo, Victor J. W.; Zudilin, Wadim 13 2018 A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088Fischler, Stéphane; Zudilin, Wadim 13 2010 Well-poised hypergeometric series for Diophantine problems of zeta values. Zbl 1156.11326Zudilin, Wadim 12 2003 The hypergeometric equation and Ramanujan functions. Zbl 1072.11052Zudilin, W. 12 2003 On three theorems of Folsom, Ono and Rhoades. Zbl 1311.11026Zudilin, Wadim 12 2015 Arithmetic hypergeometric series. Zbl 1225.33008Zudilin, V. V. 11 2011 Approximations to \(q\)-logarithms and \(q\)-dilogarithms, with applications to \(q\)-zeta values. Zbl 1088.11052Zudilin, W. 10 2005 Heine’s basic transform and a permutation group for \(q\)-harmonic series. Zbl 1052.11053Zudilin, Wadim 10 2004 A \(q\)-rious positivity. Zbl 1234.11023Warnaar, S. Ole; Zudilin, W. 10 2011 Generating functions of Legendre polynomials: A tribute to Fred Brafman. Zbl 1242.33018Wan, James; Zudilin, Wadim 10 2012 A modular supercongruence for \({}_6 F_5\): an Apéry-like story. (Une supercongruence modulaire pour \({}_6 F_5\): un conte à la Apéry.) Zbl 1429.11039Osburn, Robert; Straub, Armin; Zudilin, Wadim 10 2018 An Apéry-like difference equation for Catalan’s constant. Zbl 1093.11075Zudilin, W. 9 2003 Diophantine problems for \(q\)-zeta values. Zbl 1044.11066Zudilin, V. V. 9 2002 Period(d)ness of \(L\)-values. Zbl 1316.11038Zudilin, Wadim 9 2013 Euler’s constant, \(q\)-logarithms, and formulas of Ramanujan and Gosper. Zbl 1132.11056Sondow, Jonathan; Zudilin, Wadim 9 2006 More Ramanujan-type formulae for \(1/\pi^2\). Zbl 1203.11088Zudilin, V. V. 9 2007 Quadratic transformations and Guillera’s formulas for \(1/\pi^2\). Zbl 1144.33002Zudilin, V. V. 8 2007 Many variations of Mahler measures. A lasting symphony. Zbl 1476.11002Brunault, François; Zudilin, Wadim 7 2020 Many odd zeta values are irrational. Zbl 1430.11097Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 7 2019 Irrationality measures for certain \(q\)-mathematical constants. Zbl 1153.11034Bundschuh, Peter; Zudilin, Wadim 7 2007 Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104Brent, Richard P.; Coons, Michael; Zudilin, Wadim 7 2016 Lower bounds for polynomials in the values of certain entire functions. Zbl 0878.11030Zudilin, V. V. 7 1996 On the irrationality measure for a \(q\)-analogue of \(\zeta(2)\). Zbl 1044.11067Zudilin, W. V. 7 2002 On the transcendence degree of the differential field generated by Siegel modular forms. Zbl 1130.11020Bertrand, D.; Zudilin, W. 7 2003 On the integrality of power expansions related to hypergeometric series. Zbl 1043.11060Zudilin, V. V. 7 2002 Approximations to di- and tri-logarithms. Zbl 1220.65028Zudilin, Wadim 7 2007 An essay on the irrationality measure of \(\pi\) and other logarithms. Zbl 1140.11036Zudilin, V. V. 7 2004 Euler’s factorial series and global relations. Zbl 1444.11037Matala-aho, Tapani; Zudilin, Wadim 7 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 1398.11109Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 6 2018 On the Mahler measure of a family of genus 2 curves. Zbl 1347.11076Bertin, Marie José; Zudilin, Wadim 6 2016 Multiple \(q\)-zeta brackets. Zbl 1312.11069Zudilin, Wadim 6 2015 Ramanujan-type formulae for \(1/\pi\): the art of translation. Zbl 1371.11162Guillera, Jesús; Zudilin, Wadim 6 2013 New irrationality measures for \(q\)-logarithms. Zbl 1158.11033Matala-aho, Tapani; Väänänen, Keijo; Zudilin, Wadim 6 2006 One of the odd zeta values from \(\zeta(5)\) to \(\zeta(25)\) is irrational. By elementary means. Zbl 1445.11063Zudilin, Wadim 6 2018 Further explorations of Boyd’s conjectures and a conductor 21 elliptic curve. Zbl 1337.11072Lalín, Matilde; Samart, Detchat; Zudilin, Wadim 5 2016 Well-poised hypergeometric transformations of Euler-type multiple integrals. Zbl 1065.11054Zudilin, W. 5 2004 Very well-poised hypergeometric series and multiple integrals. Zbl 1229.33011Zudilin, V. V. 5 2002 A third-order Apéry-like recursion for \(\zeta(5)\). Zbl 1041.11057Zudilin, V. V. 5 2002 On the Mahler measure of hyperelliptic families. Zbl 1434.11211Bertin, Marie José; Zudilin, Wadim 5 2017 Two hypergeometric tales and a new irrationality measure of \(\zeta (2)\). Zbl 1307.11085Zudilin, Wadim 5 2014 Ramanujan-type formulae and irrationality measures of some multiples of \(\pi\). Zbl 1114.11064Zudilin, V. V. 5 2005 A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017Chan, Heng Huat; Long, Ling; Zudilin, V. V. 5 2010 Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 5 2019 On the non-quadraticity of values of the \(q\)-exponential function and related \(q\)-series. Zbl 1232.11080Krattenthaler, Christian; Rochev, Igor; Väänänen, Keijo; Zudilin, Wadim 4 2009 Apéry’s theorem. Thirty years after. Zbl 1223.11089Zudilin, Wadim 4 2009 Baker-type estimates for linear forms in the values of \(q\)-series. Zbl 1064.11054Väänänen, Keijo; Zudilin, Wadim 4 2005 On a combinatorial problem of Asmus Schmidt. Zbl 1126.11012Zudilin, W. 4 2004 One of the eight numbers \(\zeta(5),\zeta(7),\cdots,\zeta(17),\zeta(19)\) is irrational. Zbl 1022.11035Zudilin, V. V. 4 2001 The Erdős–Moser equation \(1^k+2^k+\cdots +(m-1)^k=m^k\) revisited using continued fractions. Zbl 1231.11038Gallot, Yves; Moree, Pieter; Zudilin, Wadim 4 2011 On theorems of Gelfond and Selberg concerning integral-valued entire functions. Zbl 1081.11051Bundschuh, Peter; Zudilin, Wadim 4 2004 A new lower bound for \(\|(3/2)^k\|\). Zbl 1127.11049Zudilin, Wadim 4 2007 On simultaneous Diophantine approximations to \(\zeta(2)\) and \(\zeta(3)\). Zbl 1315.11062Dauguet, Simon; Zudilin, Wadim 4 2014 Some remarks on linear forms containing Catalan’s constant. Zbl 1099.11036Zudilin, V. V. 4 2002 Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 4 2021 Thetanulls and differential equations. Zbl 1021.11011Zudilin, V. V. 3 2000 Derivatives of Siegel modular forms and exponential functions. Zbl 1021.11013Bertrand, D.; Zudilin, W. 3 2001 Experimental mathematics and mathematical physics. Zbl 1221.82006Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim 3 2010 Difference equations and the irrationality measure of numbers. Zbl 0910.11032Zudilin, V. V. 3 1997 Apéry limits of differential equations of order 4 and 5. Zbl 1159.14019Almkvist, Gert; van Straten, Duco; Zudilin, Wadim 3 2008 Hankel determinants of zeta values. Zbl 1387.11054Haynes, Alan; Zudilin, Wadim 3 2015 Linear independence of dilogarithmic values. Zbl 1454.11131Viola, Carlo; Zudilin, Wadim 3 2018 A generating function of the squares of Legendre polynomials. Zbl 1334.33022Zudilin, Wadim 3 2014 On the irrationality of the values of the zeta function at odd integer points. Zbl 1037.11048Zudilin, V. V. 3 2001 Remarks on irrationality of \(q\)-harmonic series. Zbl 1044.11068Zudilin, Wadim 3 2002 A note on odd zeta values. Zbl 1470.11203Rivoal, Tanguy; Zudilin, Wadim 3 2020 Hypergeometry inspired by irrationality questions. Zbl 1450.11072Krattenthaler, Christian; Zudilin, Wadim 3 2019 Rational approximations to a \(q\)-analogue of \(\pi\) and some other \(q\)-series. Zbl 1213.11146Bundschuh, Peter; Zudilin, Wadim 2 2008 A hypergeometric problem. Zbl 1178.33007Zudilin, Wadim 2 2009 On rational approximations of values of a certain class of entire functions. Zbl 0848.11031Zudilin, V. V. 2 1995 On a measure of irrationality for values of \(G\)-functions. Zbl 0931.11025Zudilin, V. V. 2 1996 Binomial sums related to rational approximations to \(\zeta(4)\). Zbl 1070.11029Zudilin, V. V. 2 2004 On the irrationality of generalized \(q\)-logarithm. Zbl 1415.11099Zudilin, Wadim 2 2016 Dwork-type supercongruences through a creative \(q\)-microscope. Zbl 1473.11046Guo, Victor J. W.; Zudilin, Wadim 21 2021 Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 4 2021 Automatic discovery of irrationality proofs and irrationality measures. Zbl 1468.11160Zeilberger, Doron; Zudilin, Wadim 1 2021 A common \(q\)-analogue of two supercongruences. Zbl 1439.33007Guo, Victor J. W.; Zudilin, Wadim 18 2020 Many variations of Mahler measures. A lasting symphony. Zbl 1476.11002Brunault, François; Zudilin, Wadim 7 2020 A note on odd zeta values. Zbl 1470.11203Rivoal, Tanguy; Zudilin, Wadim 3 2020 Two definite integrals that are definitely (and surprisingly!) equal. Zbl 1462.26003Ekhad, Shalosh B.; Zeilberger, Doron; Zudilin, Wadim 1 2020 Short walk adventures. Zbl 1448.33018Straub, Armin; Zudilin, Wadim 1 2020 The irrationality measure of \(\pi\) is at most 7.103205334137…. Zbl 1456.11129Zeilberger, Doron; Zudilin, Wadim 1 2020 A \(q\)-microscope for supercongruences. Zbl 1464.11028Guo, Victor J. W.; Zudilin, Wadim 94 2019 Congruences for \(q\)-binomial coefficients. Zbl 1431.11032Zudilin, Wadim 36 2019 On a \(q\)-deformation of modular forms. Zbl 1445.11014Guo, Victor J. W.; Zudilin, Wadim 21 2019 Many odd zeta values are irrational. Zbl 1430.11097Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 7 2019 Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim 5 2019 Hypergeometry inspired by irrationality questions. Zbl 1450.11072Krattenthaler, Christian; Zudilin, Wadim 3 2019 A magnetic double integral. Zbl 1470.11068Broadhurst, David; Zudilin, Wadim 2 2019 Hypergeometric heritage of W. N. Bailey. Zbl 1426.33001Zudilin, Wadim 2 2019 Hypergeometric modular equations. Zbl 1428.33014Cooper, Shaun; Zudilin, Wadim 1 2019 Ramanujan-type formulae for \(1/\pi: q\)-analogues. Zbl 1436.11024Guo, Victor J. W.; 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 1429.11039Osburn, Robert; Straub, Armin; Zudilin, Wadim 10 2018 Euler’s factorial series and global relations. Zbl 1444.11037Matala-aho, Tapani; Zudilin, Wadim 7 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 1398.11109Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 6 2018 One of the odd zeta values from \(\zeta(5)\) to \(\zeta(25)\) is irrational. By elementary means. Zbl 1445.11063Zudilin, Wadim 6 2018 Linear independence of dilogarithmic values. Zbl 1454.11131Viola, Carlo; Zudilin, Wadim 3 2018 A hypergeometric version of the modularity of rigid Calabi-Yau manifolds. Zbl 1456.11073Zudilin, Wadim 2 2018 A study of elliptic gamma function and allies. Zbl 1440.11063Paşol, Vicenţiu; Zudilin, Wadim 2 2018 A variation on the theme of Nicomachus. Zbl 1410.11079Luca, Florian; Polanco, Geremías; Zudilin, Wadim 1 2018 Crouching AGM, hidden modularity. Zbl 1437.11058Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim 1 2018 On the Mahler measure of hyperelliptic families. Zbl 1434.11211Bertin, Marie José; Zudilin, Wadim 5 2017 A determinantal approach to irrationality. Zbl 1367.11062Zudilin, Wadim 2 2017 Holonomic alchemy and series for \(1/\pi \). Zbl 1391.11165Cooper, Shaun; Wan, James G.; Zudilin, Wadim 1 2017 On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062Osburn, Robert; Zudilin, Wadim 34 2016 Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104Brent, Richard P.; Coons, Michael; Zudilin, Wadim 7 2016 On the Mahler measure of a family of genus 2 curves. Zbl 1347.11076Bertin, Marie José; Zudilin, Wadim 6 2016 Further explorations of Boyd’s conjectures and a conductor 21 elliptic curve. Zbl 1337.11072Lalín, Matilde; Samart, Detchat; Zudilin, Wadim 5 2016 On the irrationality of generalized \(q\)-logarithm. Zbl 1415.11099Zudilin, Wadim 2 2016 On three theorems of Folsom, Ono and Rhoades. Zbl 1311.11026Zudilin, Wadim 12 2015 Multiple \(q\)-zeta brackets. Zbl 1312.11069Zudilin, Wadim 6 2015 Hankel determinants of zeta values. Zbl 1387.11054Haynes, Alan; Zudilin, Wadim 3 2015 Positivity of rational functions and their diagonals. Zbl 1374.05023Straub, Armin; Zudilin, Wadim 2 2015 Neverending fractions. An introduction to continued fractions. Zbl 1307.11001Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim 20 2014 On the Mahler measure of \(1+X+1/X+Y +1/Y\). Zbl 1378.11091Rogers, Mathew; Zudilin, Wadim 19 2014 Regulator of modular units and Mahler measures. Zbl 1386.11129Zudilin, Wadim 15 2014 Two hypergeometric tales and a new irrationality measure of \(\zeta (2)\). Zbl 1307.11085Zudilin, Wadim 5 2014 On simultaneous Diophantine approximations to \(\zeta(2)\) and \(\zeta(3)\). Zbl 1315.11062Dauguet, Simon; Zudilin, Wadim 4 2014 A generating function of the squares of Legendre polynomials. Zbl 1334.33022Zudilin, Wadim 3 2014 Legendre polynomials and Ramanujan-type series for \(1/\pi\). Zbl 1357.11123Chan, Heng Huat; Wan, James; Zudilin, Wadim 15 2013 Period(d)ness of \(L\)-values. Zbl 1316.11038Zudilin, Wadim 9 2013 Ramanujan-type formulae for \(1/\pi\): the art of translation. Zbl 1371.11162Guillera, Jesús; Zudilin, Wadim 6 2013 Lost in translation. Zbl 1285.33008Zudilin, Wadim 2 2013 Logarithmic and complex constant term identities. Zbl 1290.05152Chappell, Tom; Lascoux, Alain; Warnaar, S. Ole; Zudilin, Wadim 1 2013 Generating functions of Legendre polynomials: a tribute to Fred Brafman. Zbl 1282.33015Wan, James; Zudilin, Wadim 1 2013 From \(L\)-series of elliptic curves to Mahler measures. Zbl 1260.11062Rogers, Mathew; Zudilin, Wadim 27 2012 Densities of short uniform random walks. Zbl 1296.33011Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim 26 2012 “Divergent” Ramanujan-type supercongruences. Zbl 1276.11027Guillera, Jesús; Zudilin, Wadim 23 2012 Cyclic \(q\)-MZSV sum. Zbl 1268.11119Ohno, Yasuo; Okuda, Jun-Ichi; Zudilin, Wadim 17 2012 Dedekind’s \(\eta \)-function and Rogers-Ramanujan identities. Zbl 1234.05040Warnaar, S. Ole; Zudilin, Wadim 14 2012 Generating functions of Legendre polynomials: A tribute to Fred Brafman. Zbl 1242.33018Wan, James; Zudilin, Wadim 10 2012 Generalizations of Clausen’s formula and algebraic transformations of Calabi-Yau differential equations. Zbl 1223.33007Almkvist, Gert; van Straten, Duco; Zudilin, Wadim 35 2011 New analogues of Clausen’s identities arising from the theory of modular forms. Zbl 1234.33009Chan, Heng Huat; Tanigawa, Yoshio; Yang, Yifan; Zudilin, Wadim 20 2011 Arithmetic hypergeometric series. Zbl 1225.33008Zudilin, V. V. 11 2011 A \(q\)-rious positivity. Zbl 1234.11023Warnaar, S. Ole; Zudilin, W. 10 2011 The Erdős–Moser equation \(1^k+2^k+\cdots +(m-1)^k=m^k\) revisited using continued fractions. Zbl 1231.11038Gallot, Yves; Moree, Pieter; Zudilin, Wadim 4 2011 New representations for Apéry-like sequences. Zbl 1275.11035Chan, Heng Huat; Zudilin, Wadim 20 2010 A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088Fischler, Stéphane; Zudilin, Wadim 13 2010 A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017Chan, Heng Huat; Long, Ling; Zudilin, V. V. 5 2010 Experimental mathematics and mathematical physics. Zbl 1221.82006Bailey, David H.; Borwein, Jonathan M.; Broadhurst, David; Zudilin, Wadim 3 2010 On \(\mathrm{Sp}_4\) modularity of Picard-Fuchs differential equations for Calabi-Yau threefolds. Zbl 1283.11073Yang, Yifan; Zudilin, Wadim 1 2010 Ramanujan-type supercongruences. Zbl 1231.11147Zudilin, Wadim 94 2009 On the non-quadraticity of values of the \(q\)-exponential function and related \(q\)-series. Zbl 1232.11080Krattenthaler, Christian; Rochev, Igor; Väänänen, Keijo; Zudilin, Wadim 4 2009 Apéry’s theorem. Thirty years after. Zbl 1223.11089Zudilin, Wadim 4 2009 A hypergeometric problem. Zbl 1178.33007Zudilin, Wadim 2 2009 Zeta stars. Zbl 1228.11132Ohno, Yasuo; Zudilin, Wadim 39 2008 Ramanujan-type formulae for \(1/\pi\): a second wind? Zbl 1159.11053Zudilin, Wadim 26 2008 Apéry limits of differential equations of order 4 and 5. Zbl 1159.14019Almkvist, Gert; van Straten, Duco; Zudilin, Wadim 3 2008 Rational approximations to a \(q\)-analogue of \(\pi\) and some other \(q\)-series. Zbl 1213.11146Bundschuh, Peter; Zudilin, Wadim 2 2008 Linear independence of values of Tschakaloff functions with different parameters. Zbl 1173.11044Väänänen, Keijo; Zudilin, Wadim 1 2008 Hypergeometric transformations of linear forms in one logarithm. Zbl 1205.33008Viola, Carlo; Zudilin, Wadim 1 2008 More Ramanujan-type formulae for \(1/\pi^2\). Zbl 1203.11088Zudilin, V. V. 9 2007 Quadratic transformations and Guillera’s formulas for \(1/\pi^2\). Zbl 1144.33002Zudilin, V. V. 8 2007 Irrationality measures for certain \(q\)-mathematical constants. Zbl 1153.11034Bundschuh, Peter; Zudilin, Wadim 7 2007 Approximations to di- and tri-logarithms. Zbl 1220.65028Zudilin, Wadim 7 2007 A new lower bound for \(\|(3/2)^k\|\). Zbl 1127.11049Zudilin, Wadim 4 2007 An elementary proof of the irrationality of Tschakaloff series. Zbl 1204.11112Zudilin, W. 1 2007 Linear independence of values of Tschakaloff series. Zbl 1173.11043Väänänen, K.; Zudilin, V. V. 1 2007 Differential equations, mirror maps and zeta values. Zbl 1118.14043Almkvist, Gert; Zudilin, Wadim 21 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 1089.11038Krattenthaler, C.; Rivoal, T.; Zudilin, W. 16 2006 Euler’s constant, \(q\)-logarithms, and formulas of Ramanujan and Gosper. Zbl 1132.11056Sondow, Jonathan; Zudilin, Wadim 9 2006 New irrationality measures for \(q\)-logarithms. Zbl 1158.11033Matala-aho, Tapani; Väänänen, Keijo; Zudilin, Wadim 6 2006 Approximations to \(q\)-logarithms and \(q\)-dilogarithms, with applications to \(q\)-zeta values. Zbl 1088.11052Zudilin, W. 10 2005 Ramanujan-type formulae and irrationality measures of some multiples of \(\pi\). Zbl 1114.11064Zudilin, V. V. 5 2005 Baker-type estimates for linear forms in the values of \(q\)-series. Zbl 1064.11054Väänänen, Keijo; Zudilin, Wadim 4 2005 Well-poised generation of Apéry-like recursions. Zbl 1063.11026Zudilin, Wadim 1 2005 Computing powers of two generalizations of the logarithm. Zbl 1088.11015Zudilin, Wadim 1 2005 Arithmetic of linear forms involving odd zeta values. Zbl 1156.11327Zudilin, Wadim 30 2004 Heine’s basic transform and a permutation group for \(q\)-harmonic series. Zbl 1052.11053Zudilin, Wadim 10 2004 An essay on the irrationality measure of \(\pi\) and other logarithms. Zbl 1140.11036Zudilin, V. V. 7 2004 Well-poised hypergeometric transformations of Euler-type multiple integrals. Zbl 1065.11054Zudilin, W. 5 2004 On a combinatorial problem of Asmus Schmidt. Zbl 1126.11012Zudilin, W. 4 2004 On theorems of Gelfond and Selberg concerning integral-valued entire functions. Zbl 1081.11051Bundschuh, Peter; Zudilin, Wadim 4 2004 ...and 27 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 549 Authors 61 Zudilin, Wadim 60 Guo, Victor J. W. 18 Liu, Jicai 18 Rivoal, Tanguy 13 Fischler, Stéphane 13 Straub, Armin 12 Mao, Guo-Shuai 11 Wei, Chuanan 10 Guillera, Jesús 10 He, Bing 10 Hessami Pilehrood, Khodabakhsh 10 Hessami Pilehrood, Tatiana 10 Wan, James Gu Feng 10 Wang, Xiaoxia 8 Borwein, Jonathan Michael 8 Chan, Heng Huat 8 Kalita, Gautam 8 Lalín, Matilde Noemí 8 Matala-aho, Tapani 8 Rogers, Mathew D. 8 Schlosser, Michael J. 8 Väänänen, Keijo O. 7 Bachmann, Henrik 7 Chu, Wenchang 7 Cooper, Shaun 7 Folsom, Amanda L. 7 Long, Ling 6 Bundschuh, Peter 6 Delaygue, Éric 6 Ebrahimi-Fard, Kurusch 6 Genčev, Marian 6 Jana, Arijit 6 Ni, He-Xia 6 Pan, Hao 6 Sun, Zhihong 6 Zhou, Yajun 5 Eie, Minking 5 Manchon, Dominique 5 Marcovecchio, Raffaele 5 Osburn, Robert 5 Samart, Detchat 5 Singer, Johannes Maria 5 Warnaar, S. Ole 5 Ye, Dongxi 5 Zhao, Jianqiang 4 Brunault, François 4 Coons, Michael 4 Dixit, Atul 4 Krattenthaler, Christian Friedrich 4 Li, Long 4 Liu, Yudong 4 Luca, Florian 4 Maji, Bibekananda 4 Murty, Maruti Ram 4 Nesterenko, Yuriĭ Valentinovich 4 Pupyrev, Yuri A. 4 Sondow, Jonathan D. 4 Van Assche, Walter 4 van Straten, Duco 4 Wang, Su-Dan 4 Zeilberger, Doron 4 Zeng, Jiang 3 Berndt, Bruce Carl 3 Bostan, Alin 3 Bouillot, Olivier 3 Bradley, David M. 3 Bringmann, Kathrin 3 Cohl, Howard Saul 3 Gu, Chengyang 3 Guo, Li 3 Gupta, Rajat 3 Ito, Ryojun 3 Jouhet, Frédéric 3 Kuba, Markus F. 3 Machide, Tomoya 3 Maillard, Jean-Marie 3 Movasati, Hossein 3 Ong, Yaolin 3 Pila, Jonathan 3 Roques, Julien 3 Sahu, Brundaban 3 Sprang, Johannes 3 Tachiya, Yohei 3 Yang, Yifan 3 Yue, Mingbing 3 Zlobin, S. A. 2 Allouche, Jean-Paul Simon 2 Almkvist, Gert 2 Bailey, David Harold 2 Baruah, Nayandeep Deka 2 Bell, Jason P. 2 Bertin, Marie-Jose 2 Beukers, Frits 2 Bézivin, Jean-Paul 2 Blümlein, Johannes 2 Bugeaud, Yann 2 Cai, Tianxin 2 Calinescu, Corina 2 Campbell, John Maxwell 2 Castillo-Medina, Jaime ...and 449 more Authors all top 5 Cited in 161 Serials 58 The Ramanujan Journal 44 Journal of Number Theory 38 International Journal of Number Theory 32 Journal of Mathematical Analysis and Applications 20 Proceedings of the American Mathematical Society 20 Results in Mathematics 15 Mathematical Notes 14 Bulletin of the Australian Mathematical Society 14 Advances in Applied Mathematics 14 Journal of Difference Equations and Applications 13 Advances in Mathematics 13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 13 Research in Number Theory 12 Journal de Théorie des Nombres de Bordeaux 11 Integral Transforms and Special Functions 9 Journal of Approximation Theory 9 Journal of the Australian Mathematical Society 8 Rocky Mountain Journal of Mathematics 8 Compositio Mathematica 7 Israel Journal of Mathematics 7 Acta Arithmetica 7 Journal of Algebra 7 Journal of Computational and Applied Mathematics 7 Manuscripta Mathematica 7 Monatshefte für Mathematik 7 Transactions of the American Mathematical Society 7 Journal of Mathematical Sciences (New York) 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Mathematische Zeitschrift 6 Journal of Symbolic Computation 6 Journal of High Energy Physics 5 Mathematics of Computation 5 Duke Mathematical Journal 5 Journal of Combinatorial Theory. Series A 5 The Electronic Journal of Combinatorics 5 Integers 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 American Mathematical Monthly 4 Functiones et Approximatio. Commentarii Mathematici 4 Journal of Integer Sequences 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Periodica Mathematica Hungarica 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Archiv der Mathematik 3 Czechoslovak Mathematical Journal 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Proceedings of the Japan Academy. Series A 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Indagationes Mathematicae. New Series 3 Experimental Mathematics 3 Documenta Mathematica 3 Doklady Mathematics 3 Proceedings of the Steklov Institute of Mathematics 3 Annales Mathématiques du Québec 3 Mathematics 3 Research in the Mathematical Sciences 3 AIMS Mathematics 3 Electronic Research Archive 2 Journal of Mathematical Physics 2 Nuclear Physics. B 2 Problems of Information Transmission 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Tokyo Journal of Mathematics 2 Constructive Approximation 2 International Journal of Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Expositiones Mathematicae 2 Journal of Algebraic Combinatorics 2 Annales Mathématiques Blaise Pascal 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 Chebyshevskiĭ Sbornik 2 Journal of Physics A: Mathematical and Theoretical 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 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 The Mathematical Gazette 1 Journal of Geometry and Physics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin de la Société Mathématique de France 1 Colloquium Mathematicum 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences ...and 61 more Serials all top 5 Cited in 46 Fields 579 Number theory (11-XX) 323 Special functions (33-XX) 132 Combinatorics (05-XX) 54 Algebraic geometry (14-XX) 26 Approximations and expansions (41-XX) 21 Quantum theory (81-XX) 19 Functions of a complex variable (30-XX) 19 Ordinary differential equations (34-XX) 19 Numerical analysis (65-XX) 18 Sequences, series, summability (40-XX) 17 Probability theory and stochastic processes (60-XX) 17 Computer science (68-XX) 13 \(K\)-theory (19-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Nonassociative rings and algebras (17-XX) 10 Associative rings and algebras (16-XX) 10 Integral transforms, operational calculus (44-XX) 9 Difference and functional equations (39-XX) 8 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Mathematical logic and foundations (03-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Field theory and polynomials (12-XX) 5 Partial differential equations (35-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 Commutative algebra (13-XX) 4 Group theory and generalizations (20-XX) 4 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-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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