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Staff Profile

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Career Summary

Qualifications

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

Research

Research keywords

  • number theory
  • special functions

Research expertise

(listed below in obscure alphabetical order)

Apéry's theorem

Calabi–Yau differential equations

Dilogarithm

Diophantine approximations

Diophantine equations

Experimental Mathematics

Hypergeometric series

Irrationality and transcendence

L-values

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...

Positivity

Ramanujan's mathematics

Rogers–Ramanujan identities

Special functions

Supercongruences

Fields of Research

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

Appointments

Fellowship
Ostrowski Foundation (Switzerland)
01/01/1999
Fellowship
Russian Academy of Sciences (Russian Federation)
01/01/2000 - 01/01/2003
Fellowship
Alexander Von Humboldt Foundation (Germany)
01/01/2003
Fellowship
Max Planck Society (Germany)
01/01/2006 - 01/12/2006
Fellowship
Max Planck Society (Germany)
01/01/2007 - 01/12/2007
Fellowship
Max Planck Society (Germany)
01/01/2008 - 01/12/2009

Awards

Prize

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

Teaching keywords

  • algebra
  • analysis
  • differential equations
  • number theory
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Publications

For publications that are currently unpublished or in-press, details are shown in italics.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

YearCitationAltmetricsLink
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)

YearCitationAltmetricsLink
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 (63 outputs)

YearCitationAltmetricsLink
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, 'A GENERATING FUNCTION OF THE SQUARES OF LEGENDRE POLYNOMIALS', BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 89 125-131 (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)
2013Wan J, Zudilin W, 'Generating functions of Legendre polynomials: A tribute to Fred Brafman', Journal of Approximation Theory, 170 198-213 (2013) [C1]
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]
2012Guillera J, Zudilin V, ''Divergent' Ramanujan-type supercongruences', Proceedings of the American Mathematical Society, 140 765-777 (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]
2012Wan G, Zudilin V, 'Generating functions of Legendre polynomials: A tribute to Fred Brafman', Journal of Approximation Theory, 164 488-503 (2012) [C1]
2012Warnaar SO, Zudilin V, 'Dedekind's ¿-function and Rogers-Ramanujan identities', Bulletin of the London Mathematical Society, 44 1-11 (2012) [C1]
2012Chan HH, Wan G, Zudilin V, 'Complex series for 1/p', Ramanujan Journal, 29 135-144 (2012) [C1]
2012Borwein JM, Straub A, Wan G, Zudilin V, 'Densities of short uniform random walks', Canadian Journal of Mathematics, 64 961-990 (2012) [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]
2011Warnaar SO, Zudilin V, 'A q-rious positivity', Aequationes Mathematicae, 81 177-183 (2011) [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]
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, 'Arithmetic hypergeometric series', Russian Mathematical Surveys, 66 369-420 (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]
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]
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]
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 W, 'Ramanujan-type supercongruences', Journal of Number Theory, 129 1848-1857 (2009) [C1]
2009Krattenthaler C, Rochev I, Vaananen K, Zudilin W, 'On the non-quadraticity of values of the q-exponential function and related q-series', ACTA ARITHMETICA, 136 243-269 (2009) [C1]
2009Zudilin V, 'Apery's theorem. Thirty years after', International Journal of Mathematics and Computer Science, 4 9-19 (2009) [C1]
2009Zudilin W, 'A hypergeometric problem', JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 233 856-857 (2009) [C1]
2008Väänänen K, Zudilin W, 'Linear independence of values of Tschakaloff functions with different parameters', Journal of Number Theory, 128 2549-2558 (2008) [C1]
2008Ohno Y, Zudilin W, 'Zeta Stars', Communications in Number Theory and Physics, 2 325-347 (2008) [C1]
2008Viola C, Zudilin W, 'Hypergeometric transformations of linear forms in one logarithm', Functiones et Approximatio Commentarii Mathematici, 39 211-222 (2008) [C1]
2007Zudilin W, 'Quadratic Transformations and Guillera's Formulas for 1/p2', Russian Academy of Sciences: Mathematical Notes, 81 297-301 (2007) [C1]
2007Zudilin W, 'Approximations to -, di- and tri- logarithms', Journal of Computational and Applied Mathematics, 202 450-459 (2007) [C1]
2007Zudilin W, Vaananen K, 'Linear independence of values of Tschakaloff series', Russian Mathematical Surveys, 62 196-198 (2007) [C1]
2007Zudilin W, 'More Ramanujan-type formulae for 1/p2', Russian Mathematical Surveys, 62 634-636 (2007) [C1]
2007Bundschuh P, Zudilin W, 'Irrationality measures for certain q-mathematical constants', Mathematica Scandinavica: ediderunt societates mathematicae Daniae Fenniae Islandiae Norvegiae Sveci, 101 104-122 (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: a translation of selected Russian-language serial publications in mathematics, 146 5669-5673 (2007) [C1]
2006Hessami Pilehrood KH, Hessami Pilehrood T, Zudilin W, 'Irrationality of certain numbers that contain values of the di- and trilogarithm', Mathematische Zeitschrift, 254 299-313 (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]
2006Matalo-Aho T, Vaananen K, Zudilin W, 'New irrationality measures for q-logarithms', Mathematics of Computation, 75 879-889 (2006) [C1]
2006Sondow J, Zudilin W, 'Euler's constant, q-logarithms, and formulas of Ramanujan and Gosper', The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu, 12 225-244 (2006) [C1]
2006Zudilin W, 'Approximations to q-logarithms and q-dilogarithms, with applications to q-zeta values', Journal of Mathematical Sciences: a translation of selected Russian-language serial publications in mathematics, 137 4673-4683 (2006) [C1]
2005Vaananen K, Zudilin W, 'Baker-type estimates for linear forms in the values of q-series', Canadian Mathematical Bulletin, 48 147-160 (2005) [C1]
2005Zudilin W, 'Well-poised generation of Apery-like recursions', Journal of Computational and Applied Mathematics, 178 513-521 (2005) [C1]
2005Zudilin W, 'Computing powers of two generalizations of the logarithm', Seminaire Lotharingien de Combinatoire, 53 1-6 (2005) [C1]
2004Zudilin W, 'Well-poised hypergeometric transformations of Euler-type multiple integrals', Journal of London Mathematical Society, 70 215-230 (2004) [C1]
2004Zudilin W, 'Arithmetic of linear forms involving odd zeta values', Journal de Theorie des Nombres de Bordeaux, 16 251-291 (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 W, 'On a combinatorial problem of Asmus Schmidt', Journal of Combinatorics, 11 1-8 (2004) [C1]
2004Zudilin W, 'The inverse Legendre transform of a certain family of sequences', Russian Academy of Sciences: Mathematical Notes, 76 276-279 (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, 'Binomial sums related to rational approximations to Zeta(4)', Russian Academy of Sciences: Mathematical Notes, 75 594-597 (2004) [C1]
2003Zudilin W, 'The hypergeometric equation and Ramanujan functions', The Ramanujan Journal: an international journal devoted to areas of mathematics influenced by Ramanu, 7 435-447 (2003) [C1]
2003Zudilin W, 'On the functional transcendence of q-zeta values', Russian Academy of Sciences: Mathematical Notes, 73 588-589 (2003) [C1]
2003Zudilin W, 'An Apéry-like difference equation for Catalan's constant', Journal of Combinatorics, 10 1-10 (2003) [C1]
2003Rivoal T, Zudilin W, 'Diophantine properties of numbers related to Catalan's constant', Mathematische Annalen, 326 705-721 (2003) [C1]
2003Bertrand D, Zudilin W, 'On the transcendence degree of the differential field generated by Siegel modular forms', Journal fuer die Reine und Angewandte Mathematik: Crelle s journal, 554 47-68 (2003) [C1]
2003Zudilin W, 'Algebraic relations for multiple zeta values', Russian Academy of Sciences: Mathematical Notes, 81 335-340 (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]
Show 60 more

Conference (4 outputs)

YearCitationAltmetricsLink
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]
2006Almkvist G, Zudilin W, 'Differential equations, mirror maps and zeta values', Mirror Symmetry V, Banff, Canada (2006) [E1]
Show 1 more
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Grants and Funding

Summary

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
SchemeRole
Discovery ProjectsChief Investigator
Total AmountFunding StartFunding Finish
$75,00020142016
GNo:G1301362

2011 (1 grants)

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

Project Team
Professor Wadim Zudilin
SchemeRole
Discovery ProjectsChief Investigator
Total AmountFunding StartFunding Finish
$255,00020112013
GNo:G1000167
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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

CommencedProposed
Completion
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'
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Professor Vadim (Wadim) Zudilin

Work Phone(02)4921 5530
Fax(02)4921 6898
Email
PositionProfessor
School of Mathematical and Physical Sciences
Faculty of Science and Information Technology
The University of Newcastle, Australia
Focus AreaMathematics
Office
236,
V
URL:www.newcastle.edu.au/profile/wadim-zudilin