Compute Distance To:
 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: 141 Publications since 1995, including 2 Books 1 Contribution as Editor · 2 Further Contributions Reviewing Activity: 62 Reviews Co-Authors: 57 Co-Authors with 77 Joint Publications 1,756 Co-Co-Authors
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### 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 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.
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### Serials

 12 Mathematical Notes 9 Russian Mathematical Surveys 6 Sbornik: Mathematics 5 Journal of Number Theory 4 Bulletin of the Australian Mathematical Society 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
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### Fields

 133 Number theory (11-XX) 85 Special functions (33-XX) 11 Combinatorics (05-XX) 10 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) 2 Field theory and polynomials (12-XX) 2 $$K$$-theory (19-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Difference and functional equations (39-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)

### Citations contained in zbMATH Open

127 Publications have been cited 1,238 times in 672 Documents Cited by Year
Ramanujan-type supercongruences. Zbl 1231.11147
2009
A $$q$$-microscope for supercongruences. Zbl 1464.11028
Guo, Victor J. W.; Zudilin, Wadim
2019
Zeta stars. Zbl 1228.11132
2008
Congruences for $$q$$-binomial coefficients. Zbl 1431.11032
2019
On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062
2016
Generalizations of Clausen’s formula and algebraic transformations of Calabi-Yau differential equations. Zbl 1223.33007
Almkvist, Gert; van Straten, Duco; Zudilin, Wadim
2011
One of the numbers $$\zeta(5)$$, $$\zeta(7)$$, $$\zeta(9)$$, $$\zeta(11)$$ is irrational. Zbl 1047.11072
Zudilin, V. V.
2001
Algebraic relations for multiple zeta values. Zbl 1171.11323
Zudilin, V. V.
2003
Arithmetic of linear forms involving odd zeta values. Zbl 1156.11327
2004
From $$L$$-series of elliptic curves to Mahler measures. Zbl 1260.11062
2012
Densities of short uniform random walks. Zbl 1296.33011
Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim
2012
Ramanujan-type formulae for $$1/\pi$$: a second wind? Zbl 1159.11053
2008
“Divergent” Ramanujan-type supercongruences. Zbl 1276.11027
2012
Irrationality of values of the Riemann zeta function. Zbl 1114.11305
Zudilin, W.
2002
Diophantine properties of numbers related to Catalan’s constant. Zbl 1028.11046
Rivoal, T.; Zudilin, W.
2003
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
2011
Dwork-type supercongruences through a creative $$q$$-microscope. Zbl 1473.11046
Guo, Victor J. W.; Zudilin, Wadim
2021
On a $$q$$-deformation of modular forms. Zbl 1445.11014
Guo, Victor J. W.; Zudilin, Wadim
2019
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
2014
On the Mahler measure of $$1+X+1/X+Y +1/Y$$. Zbl 1378.11091
2014
Differential equations, mirror maps and zeta values. Zbl 1118.14043
2006
New representations for Apéry-like sequences. Zbl 1275.11035
2010
Cyclic $$q$$-MZSV sum. Zbl 1268.11119
Ohno, Yasuo; Okuda, Jun-Ichi; Zudilin, Wadim
2012
A common $$q$$-analogue of two supercongruences. Zbl 1439.33007
Guo, Victor J. W.; Zudilin, Wadim
2020
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.
2006
Legendre polynomials and Ramanujan-type series for $$1/\pi$$. Zbl 1357.11123
Chan, Heng Huat; Wan, James; Zudilin, Wadim
2013
Dedekind’s $$\eta$$-function and Rogers-Ramanujan identities. Zbl 1234.05040
2012
Regulator of modular units and Mahler measures. Zbl 1386.11129
2014
A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088
2010
Ramanujan-type formulae for $$1/\pi: q$$-analogues. Zbl 1436.11024
Guo, Victor J. W.; Zudilin, Wadim
2018
Well-poised hypergeometric series for Diophantine problems of zeta values. Zbl 1156.11326
2003
On three theorems of Folsom, Ono and Rhoades. Zbl 1311.11026
2015
The hypergeometric equation and Ramanujan functions. Zbl 1072.11052
Zudilin, W.
2003
Arithmetic hypergeometric series. Zbl 1225.33008
Zudilin, V. V.
2011
Heine’s basic transform and a permutation group for $$q$$-harmonic series. Zbl 1052.11053
2004
A $$q$$-rious positivity. Zbl 1234.11023
Warnaar, S. Ole; Zudilin, W.
2011
Approximations to $$q$$-logarithms and $$q$$-dilogarithms, with applications to $$q$$-zeta values. Zbl 1088.11052
Zudilin, W.
2005
Generating functions of Legendre polynomials: A tribute to Fred Brafman. Zbl 1242.33018
2012
An Apéry-like difference equation for Catalan’s constant. Zbl 1093.11075
Zudilin, W.
2003
Diophantine problems for $$q$$-zeta values. Zbl 1044.11066
Zudilin, V. V.
2002
Euler’s constant, $$q$$-logarithms, and formulas of Ramanujan and Gosper. Zbl 1132.11056
2006
Period(d)ness of $$L$$-values. Zbl 1316.11038
2013
More Ramanujan-type formulae for $$1/\pi^2$$. Zbl 1203.11088
Zudilin, V. V.
2007
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
2018
Quadratic transformations and Guillera’s formulas for $$1/\pi^2$$. Zbl 1144.33002
Zudilin, V. V.
2007
Approximations to di- and tri-logarithms. Zbl 1220.65028
2007
Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104
Brent, Richard P.; Coons, Michael; Zudilin, Wadim
2016
On the integrality of power expansions related to hypergeometric series. Zbl 1043.11060
Zudilin, V. V.
2002
Lower bounds for polynomials in the values of certain entire functions. Zbl 0878.11030
Zudilin, V. V.
1996
On the transcendence degree of the differential field generated by Siegel modular forms. Zbl 1130.11020
Bertrand, D.; Zudilin, W.
2003
On the irrationality measure for a $$q$$-analogue of $$\zeta(2)$$. Zbl 1044.11067
Zudilin, W. V.
2002
An essay on the irrationality measure of $$\pi$$ and other logarithms. Zbl 1140.11036
Zudilin, V. V.
2004
Irrationality measures for certain $$q$$-mathematical constants. Zbl 1153.11034
2007
Many odd zeta values are irrational. Zbl 1430.11097
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim
2019
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
2018
Euler’s factorial series and global relations. Zbl 1444.11037
2018
On the Mahler measure of a family of genus 2 curves. Zbl 1347.11076
2016
One of the odd zeta values from $$\zeta(5)$$ to $$\zeta(25)$$ is irrational. By elementary means. Zbl 1445.11063
2018
New irrationality measures for $$q$$-logarithms. Zbl 1158.11033
Matala-aho, Tapani; Väänänen, Keijo; Zudilin, Wadim
2006
Many variations of Mahler measures. A lasting symphony. Zbl 1476.11002
2020
Ramanujan-type formulae for $$1/\pi$$: the art of translation. Zbl 1371.11162
2013
Multiple $$q$$-zeta brackets. Zbl 1312.11069
2015
Two hypergeometric tales and a new irrationality measure of $$\zeta (2)$$. Zbl 1307.11085
2014
Further explorations of Boyd’s conjectures and a conductor 21 elliptic curve. Zbl 1337.11072
Lalín, Matilde; Samart, Detchat; Zudilin, Wadim
2016
A third-order Apéry-like recursion for $$\zeta(5)$$. Zbl 1041.11057
Zudilin, V. V.
2002
Well-poised hypergeometric transformations of Euler-type multiple integrals. Zbl 1065.11054
Zudilin, W.
2004
Very well-poised hypergeometric series and multiple integrals. Zbl 1229.33011
Zudilin, V. V.
2002
Ramanujan-type formulae and irrationality measures of some multiples of $$\pi$$. Zbl 1114.11064
Zudilin, V. V.
2005
A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017
Chan, Heng Huat; Long, Ling; Zudilin, V. V.
2010
On the Mahler measure of hyperelliptic families. Zbl 1434.11211
2017
Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim
2019
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
2009
On simultaneous Diophantine approximations to $$\zeta(2)$$ and $$\zeta(3)$$. Zbl 1315.11062
2014
One of the eight numbers $$\zeta(5),\zeta(7),\cdots,\zeta(17),\zeta(19)$$ is irrational. Zbl 1022.11035
Zudilin, V. V.
2001
On a combinatorial problem of Asmus Schmidt. Zbl 1126.11012
Zudilin, W.
2004
On theorems of Gelfond and Selberg concerning integral-valued entire functions. Zbl 1081.11051
2004
Some remarks on linear forms containing Catalan’s constant. Zbl 1099.11036
Zudilin, V. V.
2002
A new lower bound for $$\|(3/2)^k\|$$. Zbl 1127.11049
2007
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
2011
Baker-type estimates for linear forms in the values of $$q$$-series. Zbl 1064.11054
2005
Apéry’s theorem. Thirty years after. Zbl 1223.11089
2009
On the irrationality of the values of the zeta function at odd integer points. Zbl 1037.11048
Zudilin, V. V.
2001
Remarks on irrationality of $$q$$-harmonic series. Zbl 1044.11068
2002
Hankel determinants of zeta values. Zbl 1387.11054
2015
Difference equations and the irrationality measure of numbers. Zbl 0910.11032
Zudilin, V. V.
1997
Thetanulls and differential equations. Zbl 1021.11011
Zudilin, V. V.
2000
Derivatives of Siegel modular forms and exponential functions. Zbl 1021.11013
Bertrand, D.; Zudilin, W.
2001
Experimental mathematics and mathematical physics. Zbl 1221.82006
2010
A note on odd zeta values. Zbl 1470.11203
2020
Hypergeometry inspired by irrationality questions. Zbl 1450.11072
2019
A generating function of the squares of Legendre polynomials. Zbl 1334.33022
2014
A hypergeometric version of the modularity of rigid Calabi-Yau manifolds. Zbl 1456.11073
2018
A hypergeometric problem. Zbl 1178.33007
2009
Linear independence of dilogarithmic values. Zbl 1454.11131
2018
On the irrationality of generalized $$q$$-logarithm. Zbl 1415.11099
2016
On rational approximations of values of a certain class of entire functions. Zbl 0848.11031
Zudilin, V. V.
1995
On a measure of irrationality for values of $$G$$-functions. Zbl 0931.11025
Zudilin, V. V.
1996
Binomial sums related to rational approximations to $$\zeta(4)$$. Zbl 1070.11029
Zudilin, V. V.
2004
Lost in translation. Zbl 1285.33008
2013
Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim
2021
Dwork-type supercongruences through a creative $$q$$-microscope. Zbl 1473.11046
Guo, Victor J. W.; Zudilin, Wadim
2021
Supercongruences for rigid hypergeometric Calabi-Yau threefolds. Zbl 1479.14047
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim
2021
Automatic discovery of irrationality proofs and irrationality measures. Zbl 1468.11160
2021
A common $$q$$-analogue of two supercongruences. Zbl 1439.33007
Guo, Victor J. W.; Zudilin, Wadim
2020
Many variations of Mahler measures. A lasting symphony. Zbl 1476.11002
2020
A note on odd zeta values. Zbl 1470.11203
2020
Two definite integrals that are definitely (and surprisingly!) equal. Zbl 1462.26003
2020
2020
The irrationality measure of $$\pi$$ is at most 7.103205334137…. Zbl 1456.11129
2020
A $$q$$-microscope for supercongruences. Zbl 1464.11028
Guo, Victor J. W.; Zudilin, Wadim
2019
Congruences for $$q$$-binomial coefficients. Zbl 1431.11032
2019
On a $$q$$-deformation of modular forms. Zbl 1445.11014
Guo, Victor J. W.; Zudilin, Wadim
2019
Many odd zeta values are irrational. Zbl 1430.11097
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim
2019
Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. Zbl 1443.11053
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim
2019
Hypergeometry inspired by irrationality questions. Zbl 1450.11072
2019
A magnetic double integral. Zbl 1470.11068
2019
Hypergeometric heritage of W. N. Bailey. Zbl 1426.33001
2019
Hypergeometric modular equations. Zbl 1428.33014
2019
Ramanujan-type formulae for $$1/\pi: q$$-analogues. Zbl 1436.11024
Guo, Victor J. W.; Zudilin, Wadim
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
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
2018
Euler’s factorial series and global relations. Zbl 1444.11037
2018
One of the odd zeta values from $$\zeta(5)$$ to $$\zeta(25)$$ is irrational. By elementary means. Zbl 1445.11063
2018
A hypergeometric version of the modularity of rigid Calabi-Yau manifolds. Zbl 1456.11073
2018
Linear independence of dilogarithmic values. Zbl 1454.11131
2018
A study of elliptic gamma function and allies. Zbl 1440.11063
2018
A variation on the theme of Nicomachus. Zbl 1410.11079
Luca, Florian; Polanco, Geremías; Zudilin, Wadim
2018
Crouching AGM, hidden modularity. Zbl 1437.11058
Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim
2018
On the Mahler measure of hyperelliptic families. Zbl 1434.11211
2017
A determinantal approach to irrationality. Zbl 1367.11062
2017
Holonomic alchemy and series for $$1/\pi$$. Zbl 1391.11165
Cooper, Shaun; Wan, James G.; Zudilin, Wadim
2017
On the (K.2) supercongruence of Van Hamme. Zbl 1400.11062
2016
Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104
Brent, Richard P.; Coons, Michael; Zudilin, Wadim
2016
On the Mahler measure of a family of genus 2 curves. Zbl 1347.11076
2016
Further explorations of Boyd’s conjectures and a conductor 21 elliptic curve. Zbl 1337.11072
Lalín, Matilde; Samart, Detchat; Zudilin, Wadim
2016
On the irrationality of generalized $$q$$-logarithm. Zbl 1415.11099
2016
On three theorems of Folsom, Ono and Rhoades. Zbl 1311.11026
2015
Multiple $$q$$-zeta brackets. Zbl 1312.11069
2015
Hankel determinants of zeta values. Zbl 1387.11054
2015
Positivity of rational functions and their diagonals. Zbl 1374.05023
2015
Neverending fractions. An introduction to continued fractions. Zbl 1307.11001
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim
2014
On the Mahler measure of $$1+X+1/X+Y +1/Y$$. Zbl 1378.11091
2014
Regulator of modular units and Mahler measures. Zbl 1386.11129
2014
Two hypergeometric tales and a new irrationality measure of $$\zeta (2)$$. Zbl 1307.11085
2014
On simultaneous Diophantine approximations to $$\zeta(2)$$ and $$\zeta(3)$$. Zbl 1315.11062
2014
A generating function of the squares of Legendre polynomials. Zbl 1334.33022
2014
Legendre polynomials and Ramanujan-type series for $$1/\pi$$. Zbl 1357.11123
Chan, Heng Huat; Wan, James; Zudilin, Wadim
2013
Period(d)ness of $$L$$-values. Zbl 1316.11038
2013
Ramanujan-type formulae for $$1/\pi$$: the art of translation. Zbl 1371.11162
2013
Lost in translation. Zbl 1285.33008
2013
Generating functions of Legendre polynomials: a tribute to Fred Brafman. Zbl 1282.33015
2013
Logarithmic and complex constant term identities. Zbl 1290.05152
Chappell, Tom; Lascoux, Alain; Warnaar, S. Ole; Zudilin, Wadim
2013
From $$L$$-series of elliptic curves to Mahler measures. Zbl 1260.11062
2012
Densities of short uniform random walks. Zbl 1296.33011
Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim
2012
“Divergent” Ramanujan-type supercongruences. Zbl 1276.11027
2012
Cyclic $$q$$-MZSV sum. Zbl 1268.11119
Ohno, Yasuo; Okuda, Jun-Ichi; Zudilin, Wadim
2012
Dedekind’s $$\eta$$-function and Rogers-Ramanujan identities. Zbl 1234.05040
2012
Generating functions of Legendre polynomials: A tribute to Fred Brafman. Zbl 1242.33018
2012
Generalizations of Clausen’s formula and algebraic transformations of Calabi-Yau differential equations. Zbl 1223.33007
Almkvist, Gert; van Straten, Duco; Zudilin, Wadim
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
2011
Arithmetic hypergeometric series. Zbl 1225.33008
Zudilin, V. V.
2011
A $$q$$-rious positivity. Zbl 1234.11023
Warnaar, S. Ole; Zudilin, W.
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
2011
New representations for Apéry-like sequences. Zbl 1275.11035
2010
A refinement of Nesterenko’s linear independence criterion with applications to zeta values. Zbl 1206.11088
2010
A supercongruence motivated by the Legendre family of elliptic curves. Zbl 1252.11017
Chan, Heng Huat; Long, Ling; Zudilin, V. V.
2010
Experimental mathematics and mathematical physics. Zbl 1221.82006
2010
On $$\mathrm{Sp}_4$$ modularity of Picard-Fuchs differential equations for Calabi-Yau threefolds. Zbl 1283.11073
2010
Ramanujan-type supercongruences. Zbl 1231.11147
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
2009
Apéry’s theorem. Thirty years after. Zbl 1223.11089
2009
A hypergeometric problem. Zbl 1178.33007
2009
Zeta stars. Zbl 1228.11132
2008
Ramanujan-type formulae for $$1/\pi$$: a second wind? Zbl 1159.11053
2008
Apéry limits of differential equations of order 4 and 5. Zbl 1159.14019
Almkvist, Gert; van Straten, Duco; Zudilin, Wadim
2008
Rational approximations to a $$q$$-analogue of $$\pi$$ and some other $$q$$-series. Zbl 1213.11146
2008
Hypergeometric transformations of linear forms in one logarithm. Zbl 1205.33008
2008
Linear independence of values of Tschakaloff functions with different parameters. Zbl 1173.11044
2008
More Ramanujan-type formulae for $$1/\pi^2$$. Zbl 1203.11088
Zudilin, V. V.
2007
Quadratic transformations and Guillera’s formulas for $$1/\pi^2$$. Zbl 1144.33002
Zudilin, V. V.
2007
Approximations to di- and tri-logarithms. Zbl 1220.65028
2007
Irrationality measures for certain $$q$$-mathematical constants. Zbl 1153.11034
2007
A new lower bound for $$\|(3/2)^k\|$$. Zbl 1127.11049
2007
Linear independence of values of Tschakaloff series. Zbl 1173.11043
Väänänen, K.; Zudilin, V. V.
2007
An elementary proof of the irrationality of Tschakaloff series. Zbl 1204.11112
Zudilin, W.
2007
Differential equations, mirror maps and zeta values. Zbl 1118.14043
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.
2006
Euler’s constant, $$q$$-logarithms, and formulas of Ramanujan and Gosper. Zbl 1132.11056
2006
New irrationality measures for $$q$$-logarithms. Zbl 1158.11033
Matala-aho, Tapani; Väänänen, Keijo; Zudilin, Wadim
2006
Approximations to $$q$$-logarithms and $$q$$-dilogarithms, with applications to $$q$$-zeta values. Zbl 1088.11052
Zudilin, W.
2005
Ramanujan-type formulae and irrationality measures of some multiples of $$\pi$$. Zbl 1114.11064
Zudilin, V. V.
2005
Baker-type estimates for linear forms in the values of $$q$$-series. Zbl 1064.11054
2005
Computing powers of two generalizations of the logarithm. Zbl 1088.11015
2005
Well-poised generation of Apéry-like recursions. Zbl 1063.11026
2005
Arithmetic of linear forms involving odd zeta values. Zbl 1156.11327
2004
Heine’s basic transform and a permutation group for $$q$$-harmonic series. Zbl 1052.11053
2004
An essay on the irrationality measure of $$\pi$$ and other logarithms. Zbl 1140.11036
Zudilin, V. V.
2004
Well-poised hypergeometric transformations of Euler-type multiple integrals. Zbl 1065.11054
Zudilin, W.
2004
On a combinatorial problem of Asmus Schmidt. Zbl 1126.11012
Zudilin, W.
2004
On theorems of Gelfond and Selberg concerning integral-valued entire functions. Zbl 1081.11051
2004
...and 27 more Documents
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### Cited by 539 Authors

 60 Zudilin, Wadim 59 Guo, Victor J. W. 18 Liu, Jicai 18 Rivoal, Tanguy 13 Fischler, Stéphane 12 Straub, Armin 11 Mao, Guo-Shuai 10 Guillera, Jesús 10 He, Bing 10 Hessami Pilehrood, Khodabakhsh 10 Hessami Pilehrood, Tatiana 10 Wan, James Gu Feng 10 Wang, Xiaoxia 10 Wei, Chuanan 8 Borwein, Jonathan Michael 8 Chan, Heng Huat 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 Kalita, Gautam 7 Long, Ling 6 Bundschuh, Peter 6 Ebrahimi-Fard, Kurusch 6 Genčev, Marian 6 Ni, He-Xia 6 Pan, Hao 6 Zhou, Yajun 5 Delaygue, Éric 5 Eie, Minking 5 Jana, Arijit 5 Manchon, Dominique 5 Marcovecchio, Raffaele 5 Osburn, Robert 5 Samart, Detchat 5 Singer, Johannes Maria 5 Sun, Zhihong 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 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 Bézivin, Jean-Paul 2 Blümlein, Johannes 2 Bugeaud, Yann 2 Cai, Tianxin 2 Calinescu, Corina 2 Campbell, John Maxwell 2 Castillo-Medina, Jaime 2 Chen, Shaoshi 2 Chen, William Yong-Chuan ...and 439 more Authors
all top 5

### Cited in 159 Serials

 57 The Ramanujan Journal 43 Journal of Number Theory 38 International Journal of Number Theory 30 Journal of Mathematical Analysis and Applications 20 Proceedings of the American Mathematical Society 20 Results in Mathematics 15 Mathematical Notes 14 Journal of Difference Equations and Applications 13 Advances in Mathematics 13 Advances in Applied Mathematics 13 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 12 Bulletin of the Australian Mathematical Society 12 Journal de Théorie des Nombres de Bordeaux 12 Research in Number Theory 11 Integral Transforms and Special Functions 9 Journal of Approximation Theory 9 Journal of the Australian Mathematical Society 8 Compositio Mathematica 7 Israel Journal of Mathematics 7 Rocky Mountain 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 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 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 Experimental Mathematics 3 Documenta Mathematica 3 Journal of Integer Sequences 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 Czechoslovak Mathematical Journal 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 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 Indagationes Mathematicae. New Series 2 Journal of Algebraic Combinatorics 2 Annales Mathématiques Blaise Pascal 2 Doklady Mathematics 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 1 Integral Equations and Operator Theory 1 Journal of Applied Probability ...and 59 more Serials
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### Cited in 46 Fields

 563 Number theory (11-XX) 316 Special functions (33-XX) 127 Combinatorics (05-XX) 52 Algebraic geometry (14-XX) 25 Approximations and expansions (41-XX) 21 Quantum theory (81-XX) 20 Numerical analysis (65-XX) 18 Functions of a complex variable (30-XX) 18 Ordinary differential equations (34-XX) 17 Sequences, series, summability (40-XX) 17 Probability theory and stochastic processes (60-XX) 16 Computer science (68-XX) 13 $$K$$-theory (19-XX) 12 Nonassociative rings and algebras (17-XX) 12 Several complex variables and analytic spaces (32-XX) 10 Integral transforms, operational calculus (44-XX) 9 Associative rings and algebras (16-XX) 8 Real functions (26-XX) 8 Difference and functional equations (39-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 Differential geometry (53-XX) 3 Group theory and generalizations (20-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)

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