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Staff Profile


Career Summary


  • Diploma of the Candidate in Sciences, Lomonosov Moscow State University, 01/12/1995


Research keywords

  • number theory
  • special functions

Research expertise

(listed below in obscure alphabetical order)

Apéry's theorem

Calabi–Yau differential equations


Diophantine approximations

Diophantine equations

Experimental Mathematics

Hypergeometric series

Irrationality and transcendence


Mahler measures

Mathematical constants

Mock theta functions

Modular forms and functions

Multiple zeta values

Number Theory in general

Ordinary zeta values

Orthogonal polynomials

Padé approximations

Pi = 3.14159265358979323846264338327950288419716939937510...


Ramanujan's mathematics

Rogers–Ramanujan identities

Special functions


Fields of Research

010199Pure Mathematics Not Elsewhere Classified85
010299Applied Mathematics Not Elsewhere Classified10
090699Electrical And Electronic Engineering Not Elsewhere Classified5


Ostrowski Foundation (Switzerland)
Russian Academy of Sciences (Russian Federation)
01/01/2000 - 01/01/2003
Alexander Von Humboldt Foundation (Germany)
Max Planck Society (Germany)
01/01/2006 - 01/12/2006
Max Planck Society (Germany)
01/01/2007 - 01/12/2007
Max Planck Society (Germany)
01/01/2008 - 01/12/2009



2006Competition of the Talented Students, Graduates & Young Scientists of the Moscow University
Moscow University (Russian Federation)
Award of the competition to support Talented Students, Graduates and Young Scientists of the Moscow University.
2001The Distinguished Award of the Hardy-Ramanujan Society
Hardy-Ramanujan Society (India)
1997Young Scientists' Competition
Moscow Lomonosov State University (Russian Federation)


Teaching keywords

  • algebra
  • analysis
  • differential equations
  • number theory


For publications that are currently unpublished or in-press, details are shown in italics.

Click on a category title below to expand the list of citations for that specific category.

Book (2 outputs)

2014Borwein J, Poorten AVD, Shallit J, Zudilin W, Neverending Fractions, Cambridge University Press, Cambridge, U.K., 224 (2014)

Co-authors: Jonathan Borwein

2013Borwein JM, Shparlinski I, Zudilin W, Number Theory and Related Fields: In Memory of Alf van der Poorten, Springer New York LLC (2013) [A3]

Chapter (4 outputs)

2013Zudilin W, 'Period(d)ness of L-Values', Number Theory and Related Fields, Springer, New York 381-395 (2013) [B1]
2013Zudilin W, 'Lost in Translation', Advances in Combinatorics, Springer, Berlin 287-293 (2013) [B1]
2013Guillera J, Zudilin V, 'Ramanujan-type formulae for 1/p: The art of translation', The Legacy of Srinivasa Ramanujan, Ramanujan Mathematical Society, India 181-195 (2013) [B1]
2013Chappell T, Lascoux A, Warnaar SO, Zudilin V, 'Logarithmic and complex constant term identities', Computational and Analytical Mathematics, Springer, New York 219-250 (2013) [B1]
Show 1 more

Journal article (79 outputs)

2014Rogers M, Zudilin W, 'On the Mahler Measure of 1+X+1/X+Y +1/Y', International Mathematics Research Notices, 2014 2305-2326 (2014) [C1]
2014Zudilin W, 'Regulator of modular units and Mahler measures', Mathematical Proceedings of the Cambridge Philosophical Society, 156 313-326 (2014) [C1]
2014Straub A, Zudilin W, 'Positivity of rational functions and their diagonals', Journal of Approximation Theory, (2014)
2014Dauguet S, Zudilin W, 'On simultaneous diophantine approximations to ¿(2) and ¿(3)', Journal of Number Theory, 145 362-387 (2014)
2014Zudilin W, 'Two hypergeometric tales and a new irrationality measure of ¿(2)', Annales mathématiques du Québec, 38 101-117 (2014)
2013Zudilin V, 'On the irrationality measure of p^2', Russian Mathematical Surveys, 68 1133-1135 (2013) [C1]
2013Chan HH, Wan J, Zudilin W, 'Legendre polynomials and Ramanujan-type series for 1/p', Israel Journal of Mathematics, 194 183-207 (2013) [C1]
2013Wan J, Zudilin W, 'Generating functions of Legendre polynomials: A tribute to Fred Brafman', Journal of Approximation Theory, 170 198-213 (2013) [C1]
2012Borwein JM, Straub A, Wan G, Zudilin V, 'Densities of short uniform random walks', Canadian Journal of Mathematics, 64 961-990 (2012) [C1]
2012Chan HH, Wan G, Zudilin V, 'Complex series for 1/p', Ramanujan Journal, 29 135-144 (2012) [C1]
2012Rogers M, Zudilin V, 'From L-series of elliptic curves to Mahler measures', Compositio Mathematica, 148 385-414 (2012) [C1]
2012Ohno Y, Okuda J-I, Zudilin V, 'Cyclic q-MZSV sum', Journal of Number Theory, 132 144-155 (2012) [C1]
2012Warnaar SO, Zudilin V, 'Dedekind's ¿-function and Rogers-Ramanujan identities', Bulletin of the London Mathematical Society, 44 1-11 (2012) [C1]
2012Guillera J, Zudilin V, ''Divergent' Ramanujan-type supercongruences', Proceedings of the American Mathematical Society, 140 765-777 (2012) [C1]
2012Wan G, Zudilin V, 'Generating functions of Legendre polynomials: A tribute to Fred Brafman', Journal of Approximation Theory, 164 488-503 (2012) [C1]
2011Chan HH, Tanigawa Y, Yang Y, Zudilin V, 'New analogues of Clausen's identities arising from the theory of modular forms', Advances in Mathematics, 228 1294-1314 (2011) [C1]
2011Gallot Y, Moree P, Zudilin V, 'The Erd's-Moser equation 1k +2k +...+(m-1)k = mk revisited using continued fractions', Mathematics of Computation, 80 1221-1237 (2011) [C1]
2011Zudilin V, 'Arithmetic hypergeometric series', Russian Mathematical Surveys, 66 369-420 (2011) [C1]
2011Warnaar SO, Zudilin V, 'A q-rious positivity', Aequationes Mathematicae, 81 177-183 (2011) [C1]
2011Almkvist G, Van Straten D, Zudilin V, 'Generalizations of Clausen's Formula and algebraic transformations of Calabi-Yau differential equations', Proceedings of the Edinburgh Mathematical Society, 54 273-295 (2011) [C1]
2011Zudilin V, 'Book Review: Ramanujan's Lost Notebook. Part II, G.E. Andrews, B.C. Berndt', Journal of Approximation Theory, 163 1037-1038 (2011) [C3]
2010Yang Y, Zudilin V, 'On Sp4 modularity of Picard-Fuchs differential equations for Calabi-Yan threefolds', Contemporary Mathematics, 517 381-413 (2010) [C1]
2010Chan HH, Long L, Zudilin V, 'A supercongruence motivated by the Legendre family of elliptic curves', Mathematical Notes, 88 599-602 (2010) [C1]
2010Fischler S, Zudilin V, 'A refinement of Nesterenko's linear independence criterion with applications to zeta values', Mathematische Annalen, 347 739-763 (2010) [C1]
2010Chan HH, Zudilin V, 'New representations for apery-like sequences', Mathematika, 56 107-117 (2010) [C1]
2010Bailey DH, Borwein JM, Broadhurst D, Zudilin V, 'Experimental mathematics and mathematical physics', Contemporary Mathematics, 517 41-58 (2010) [C1]

Co-authors: Jonathan Borwein

2009Zudilin V, 'Ramanujan-type supercongruences', Journal of Number Theory, 129 1848-1857 (2009) [C1]
2009Zudilin V, 'A hypergeometric problem', Journal of Computational and Applied Mathematics, 233 856-857 (2009) [C1]
2009Zudilin V, 'Apery's theorem. Thirty years after', International Journal of Mathematics and Computer Science, 4 9-19 (2009) [C1]
2009Krattenthaler C, Rochev I, Vaananen K, Zudilin V, 'On the non-quadraticity of values of the q-exponential function and related q-series', Acta Arithmetica, 136 243-269 (2009) [C1]
2008Viola C, Zudilin W, 'Hypergeometric transformations of linear forms in one logarithm', Functiones et Approximatio Commentarii Mathematici, 39 211-222 (2008) [C1]
2008Ohno Y, Zudilin W, 'Zeta Stars', Communications in Number Theory and Physics, 2 325-347 (2008) [C1]
2008Zudilin W, 'Linear independence of values of Tschakaloff functions with different parameters', Journal of Number Theory, 128 2549-2558 (2008) [C1]
2007Zudilin VV, 'Quadratic transformations and Guillera's formulas for 1/pi(2)', MATHEMATICAL NOTES, 81 297-301 (2007) [C1]
2007Bundschuh P, Zudilin W, 'Irrationality measures for certain q-mathematical constants', MATHEMATICA SCANDINAVICA, 101 104-122 (2007) [C1]
2007Vaananen K, Zudilin WV, 'Linear independence of values of Tschakaloff series', RUSSIAN MATHEMATICAL SURVEYS, 62 196-198 (2007) [C1]
2007Zudilin W, 'A new lower bound for II(3/2)kII', Journal de Theorie des Nombres de Bordeaux, 19 313-325 (2007) [C1]
2007Zudilin W, 'An elementary proof of the irrationality of Tschakaloff series', Journal of Mathematical Sciences, 146 5669-5673 (2007) [C1]
2007Zudilin VV, 'More Ramanujan-type formulae for 1/p 2', Russian Mathematical Surveys, 62 634-636 (2007) [C1]
2007Zudilin W, 'Approximations to -, di- and tri-logarithms', JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 202 450-459 (2007) [C1]
2006Sondow J, Zudilin W, 'Euler's constant, q-logarithms, and formulas of Ramanujan and Gosper', RAMANUJAN JOURNAL, 12 225-244 (2006) [C1]
2006Matala-Aho T, Vaananen K, Zudilin W, 'New irrationality measures for q-logarithms', MATHEMATICS OF COMPUTATION, 75 879-889 (2006) [C1]
2006Pilehrood KH, Pilehrood TH, Zudilin W, 'Irrationality of certain numbers that contain values of the di- and trilogarithm', MATHEMATISCHE ZEITSCHRIFT, 254 299-313 (2006) [C1]
2006Zudilin W, 'Approximations to q-logarithms and q-dilogarithms, with applications to q-zeta values', Journal of Mathematical Sciences, 137 4673-4683 (2006) [C1]
2006Krattenthaler C, Rivoal T, Zudilin W, 'Series hypergeometriques basiques, q-analogues des valeurs de la fonction zeta et formes modulaires', Journal of the Institute of Mathematics of Jussieu, 5 53-79 (2006) [C1]
2005Zudilin W, 'Well-poised generation of Apery-like recursions', JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 178 513-521 (2005) [C1]
2005Vaananen K, Zudilin W, 'Baker-type estimates for linear forms in the values of q-series', CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 48 147-160 (2005) [C1]
2005Zudilin W, 'Computing powers of two generalizations of the logarithm', Seminaire Lotharingien de Combinatoire, 53 1-6 (2005) [C1]
2005Zudilin WV, 'Ramanujan-type formulae and irrationality measures of some multiples of p', Sbornik Mathematics, 196 983-998 (2005)
2004Zudilin W, 'Binomial sums related to rational approximations to Zeta(4)', Russian Academy of Sciences: Mathematical Notes, 75 594-597 (2004) [C1]
2004Bundschuh P, Zudilin W, 'On theorems of Gelfond and Selberg concerning integral-valued entire functions', JOURNAL OF APPROXIMATION THEORY, 130 164-178 (2004) [C1]
2004Zudilin VV, 'The inverse legendre transform of a certain family of sequences', Mathematical Notes, 76 276-279 (2004) [C1]
2004Zudilin W, 'Arithmetic of linear forms involving odd zeta values', Journal de Theorie des Nombres de Bordeaux, 16 251-291 (2004) [C1]
2004Zudilin W, 'Well-poised hypergeometric transformations of Euler-type multiple integrals', JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 70 215-230 (2004) [C1]
2004Zudilin W, 'Heine's basic transform and a permutation group for q-harmonic series', ACTA ARITHMETICA, 111 153-164 (2004) [C1]
2004Zudilin W, 'On a combinatorial problem of Asmus Schmidt', ELECTRONIC JOURNAL OF COMBINATORICS, 11 (2004) [C1]
2004Zudilin VV, 'Binomial sums related to rational approximations to ¿(4)', Mathematical Notes, 75 594-597 (2004)
2004Zudilin W, 'On a combinatorial problem of Asmus Schmidt', Electronic Journal of Combinatorics, 11 (2004)
2003Zudilin W, 'The hypergeometric equation and Ramanujan functions', RAMANUJAN JOURNAL, 7 435-447 (2003) [C1]
2003Rivoal T, Zudilin W, 'Diophantine properties of numbers related to Catalan's constant', MATHEMATISCHE ANNALEN, 326 705-721 (2003) [C1]
2003Zudilin VV, 'Algebraic relations for multiple zeta values', Russian Mathematical Surveys, 58 1-29 (2003) [C1]
2003Bertrand D, Zudilin W, 'On the transcendence degree, of the differential field generated by Siegel modular forms', JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 554 47-68 (2003) [C1]
2003Zudilin W, 'Well-poised hypergeometric service for diophantine problems of zeta values', Journal de Theorie des Nombres de Bordeaux, 15 593-626 (2003) [C1]
2003Zudilin VV, 'On the Functional Transcendence of q-Zeta Values', Mathematical Notes, 73 588-589 (2003) [C1]
2003Zudilin W, 'An Apery-like difference equation for Catalan's constant', ELECTRONIC JOURNAL OF COMBINATORICS, 10 (2003) [C1]
2003Zudilin W, 'An Apéry-like difference equation for Catalan's constant', Electronic Journal of Combinatorics, 10 (2003)
2002Zudilin WV, 'On the irrationality measure for a q-analogue of ¿(2)', Sbornik Mathematics, 193 1151-1172 (2002)
2002Zudilin W, 'Remarks on irrationality of q-harmonic series', MANUSCRIPTA MATHEMATICA, 107 463-477 (2002)
2002Zudilin VV, 'Very well-poised hypergeometric series and multiple integrals', Russian Mathematical Surveys, 57 824-826 (2002)
2002Zudilin VV, 'Diophantine problems for q-Zeta values', Mathematical Notes, 72 858-862 (2002)
2002Zudilin W, 'Irrationality of values of the Riemann zeta function', Izvestiya Mathematics, 66 489-542 (2002)
2002Zudilin VV, 'Integrality of power expansions related to hypergeometric series', Mathematical Notes, 71 604-616 (2002)
2002Zudilin VV, 'A third-order Apéry-like recursion for ¿(5)', Mathematical Notes, 72 733-737 (2002)
2001Zudilin VV, 'One of the eight numbers ¿(5), ¿(7),¿ , ¿(17), ¿(19) is irrational', Mathematical Notes, 70 426-431 (2001)
2001Bertrand D, Zudilin W, 'Derivatives of Siegel modular forms and exponential functions', Izvestiya Mathematics, 65 659-671 (2001)
1997Zudilin VV, 'Recurrent sequences and the measure of irrationality of values of elliptic integrals', Mathematical Notes, 61 657-661 (1997)
1997Zudilin VV, 'On the measure of linear and algebraic independence for values of entire hypergeometric functions', Mathematical Notes, 61 246-248 (1997)
1996Zudilin VV, 'On the algebraic structure of functional matrices of special form', Mathematical Notes, 60 642-648 (1996)
Show 76 more

Conference (5 outputs)

2008Almkvist G, Van Straten D, Zudilin W, 'Apery limits of differential equations of order 4 and 5', Modular Forms and String Duality - Fields Institute Communications, Banff, Canada (2008) [E1]
2008Bundschuh P, Zudilin W, 'Rational approximations to a q-analogue of p and some other q-series', Diophantine Approximation, Vienna, Austria (2008) [E1]
2008Zudilin W, 'Ramanujan-type formulae for 1/p: A second wind?', Modular Forms and String Duality - Fields Institute Communications, Banff, Canada (2008) [E1]
2007Zudilin WV, 'More Ramanujan-type formulae for 1/pi(2)', RUSSIAN MATHEMATICAL SURVEYS, Steklov Math Inst, Moscow, RUSSIA (2007)
2006Almkvist G, Zudilin W, 'Differential equations, mirror maps and zeta values', Mirror Symmetry V, Banff, Canada (2006) [E1]
Show 2 more

Grants and Funding


Number of grants2
Total funding$330,000

- Indicates that the researcher may be seeking students for this project.

Click on a grant title below to expand the full details for that specific grant.

2014 (1 grants)

Elliptical special functions$75,000
Funding Body: ARC (Australian Research Council)

Project Team
Professor Ole Warnaar, Professor Wadim Zudilin
Discovery ProjectsChief Investigator
Total AmountFunding StartFunding Finish

2011 (1 grants)

Arithmetic hypergeometric series$255,000
Funding Body: ARC (Australian Research Council)

Project Team
Professor Wadim Zudilin
Discovery ProjectsChief Investigator
Total AmountFunding StartFunding Finish

Research Supervision

Number of current supervisions1
Total current UoN PhD EFTSL0.3

For supervisions undertaken at an institution other that the University of Newcastle, the institution name is listed below the program name.

Current Supervision

ProgramSupervisor TypeResearch Title
20112015PhD (Mathematics)Co-SupervisorArithmetic Applications of Hankel Determinants

Past Supervision

YearProgramSupervisor TypeResearch Title
2013PhD (Mathematics)Co-SupervisorRandom Walks, Elliptic Integrals and Related Constants
2011PHD Math Sc Not Elsewhere Classifi
Moscow Lomonosov State University
Principal Supervisor'Arithmetic properties of the values of certain analytical functions'
2011PHD Math Sc Not Elsewhere Classifi
Moscow Lomonosov State University
Principal Supervisor'Arithmetic applications of the theory of hypergeometric series'
2007PHD Math Sc Not Elsewhere Classifi
Universidad de Zaragoza
Principal SupervisorRamanujan's Series: Generalizations and Conjectures'

Professor Vadim (Wadim) Zudilin

Work Phone(02)4921 5530
Fax(02)4921 6898
School of Mathematical and Physical Sciences
Faculty of Science and Information Technology
The University of Newcastle, Australia
Focus AreaMathematics