Zeilberger, Doron; Zudilin, Wadim Automatic discovery of irrationality proofs and irrationality measures. (English) Zbl 07924595 Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 637-647 (2024). MSC: 11J71 11J82 11Y60 33F10 × Cite Format Result Cite Review PDF Full Text: DOI
Varchenko, Alexander; Zudilin, Wadim Congruences for Hasse-Witt matrices and solutions of \(p\)-adic KZ equations. (English) Zbl 1546.11172 Pure Appl. Math. Q. 20, No. 1, 565-597 (2024). MSC: 11S80 12H25 32G34 33C05 14D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Varchenko, Alexander; Zudilin, Wadim Ghosts and congruences for \(p^s\)-approximations of hypergeometric periods. (English) Zbl 07793898 J. Aust. Math. Soc. 116, No. 1, 96-127 (2024). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11S80 12H25 14D05 32G34 33C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koelink, Erik; Román, Pablo; Zudilin, Wadim An evolution of matrix-valued orthogonal polynomials. arXiv:2411.18362 Preprint, arXiv:2411.18362 [math.CA] (2024). MSC: 33C45 33C47 33E30 33F10 × Cite Format Result Cite Full Text: arXiv OA License
Zudilin, Wadim First memoir on the asymptotics of certain infinite products. arXiv:2411.11100 Preprint, arXiv:2411.11100 [math.CA] (2024). MSC: 11P84 05A15 11F03 11N37 × Cite Format Result Cite Full Text: arXiv OA License
Zudilin, Wadim A BBP-style computation for \(\pi\) in base 5. arXiv:2409.10097 Preprint, arXiv:2409.10097 [math.NT] (2024). MSC: 11Y60 × Cite Format Result Cite Full Text: arXiv OA License
Zudilin, Wadim A non-ordinary (prime) note. arXiv:2409.00384 Preprint, arXiv:2409.00384 [math.NT] (2024). MSC: 11F33 11F30 11P83 33C20 × Cite Format Result Cite Full Text: arXiv OA License
Koelink, Erik; Román, Pablo; Zudilin, Wadim A partial-sum deformation for a family of orthogonal polynomials. arXiv:2409.00261 Preprint, arXiv:2409.00261 [math.CA] (2024). × Cite Format Result Cite Full Text: arXiv
Krattenthaler, Christian; Zudilin, Wadim A remarkable basic hypergeometric identity. arXiv:2406.02954 Preprint, arXiv:2406.02954 [math.NT] (2024). MSC: 11A07 11B65 11R18 33D15 33F10 × Cite Format Result Cite Full Text: arXiv OA License
Zudilin, Wadim A strange identity of an MF (Mahler function). arXiv:2403.13604 Preprint, arXiv:2403.13604 [math.NT] (2024). MSC: 39A10 11J91 30B99 39B32 × Cite Format Result Cite Full Text: arXiv OA License
Zudilin, Wadim Analytic methods in number theory. When complex numbers count. (English) Zbl 07745806 Monographs in Number Theory 11. Singapore: World Scientific (ISBN 978-981-12-7931-7/hbk; 978-981-12-7933-1/ebook). (2023). MSC: 11-02 11Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Straub, Armin; Zudilin, Wadim Sums of powers of binomials, their Apéry limits, and Franel’s suspicions. (English) Zbl 1519.11009 Int. Math. Res. Not. 2023, No. 11, 9861-9879 (2023). Reviewer: Matthew C. Lettington (Cardiff) MSC: 11B65 11B83 11B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim Continued fractions of cubic irrationalities. arXiv:2311.16596 Preprint, arXiv:2311.16596 [math.NT] (2023). MSC: 11A55 11J68 11J70 11R16 × Cite Format Result Cite Full Text: arXiv OA License
van Hoeij, Mark; van Straten, Duco; Zudilin, Wadim A hyperelliptic saga on a generating function of the squares of Legendre polynomials. arXiv:2306.04921 Preprint, arXiv:2306.04921 [math.NT] (2023). MSC: 11F99 11Y60 14H45 14Q05 33C20 33E30 34M35 × Cite Format Result Cite Full Text: arXiv OA License
Brunault, François; Zudilin, Wadim Modular regulators and multiple Eisenstein values. arXiv:2303.15554 Preprint, arXiv:2303.15554 [math.NT] (2023). MSC: 19F27 11F67 11G16 11G55 × Cite Format Result Cite Full Text: arXiv OA License
Dembélé, Lassina; Panchishkin, Alexei; Voight, John; Zudilin, Wadim Special hypergeometric motives and their \(L\)-functions: Asai recognition. (English) Zbl 1511.11047 Exp. Math. 31, No. 4, 1278-1290 (2022). Reviewer: Sami Omar (Sukhair) MSC: 11F66 11F41 33C20 33F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paşol, Vicenţiu; Zudilin, Wadim Magnetic (quasi-)modular forms. (English) Zbl 1498.11128 Nagoya Math. J. 248, 849-864 (2022). MSC: 11F33 11F11 11F32 11F37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koutschan, Christoph; Zudilin, Wadim Apéry limits for elliptic \(L\)-values. (English) Zbl 1503.11082 Bull. Aust. Math. Soc. 106, No. 2, 273-279 (2022). Reviewer: Noriko Yui (Kingston) MSC: 11F67 11G05 11G40 11J70 11R06 14K20 33F10 39A06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
van Ittersum, Jan-Willem M.; Ringeling, Berend; Zudilin, Wadim Hedgehogs in Lehmer’s problem. (English) Zbl 1494.11089 Bull. Aust. Math. Soc. 105, No. 2, 236-242 (2022). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 30E10 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Brown, Francis; Zudilin, Wadim On cellular rational approximations to \(\zeta(5)\). arXiv:2210.03391 Preprint, arXiv:2210.03391 [math.NT] (2022). MSC: 11J72 11M06 20B35 32G15 33C90 × Cite Format Result Cite Full Text: arXiv OA License
Uncu, Ali; Zudilin, Wadim Reflecting (on) the modulo 9 Kanade-Russell (conjectural) identities. (English) Zbl 1499.11311 Sémin. Lothar. Comb. 85(2020-2021), Article B85e, 17 p. (2021). MSC: 11P84 05A15 05A17 05A19 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Schneider, Carsten; Zudilin, Wadim A case study for \(\zeta (4)\). (English) Zbl 1499.11271 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 421-435 (2021). MSC: 11M06 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim Supercongruences for rigid hypergeometric Calabi-Yau threefolds. (English) Zbl 1479.14047 Adv. Math. 393, Article ID 108058, 49 p. (2021). Reviewer: Davide Cesare Veniani (Stuttgart) MSC: 14J32 14J33 11F33 11T24 14G10 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zeilberger, Doron; Zudilin, Wadim Automatic discovery of irrationality proofs and irrationality measures. (English) Zbl 1468.11160 Int. J. Number Theory 17, No. 3, 815-825 (2021). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11J71 11Y60 33F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Victor J. W.; Zudilin, Wadim Dwork-type supercongruences through a creative \(q\)-microscope. (English) Zbl 1473.11046 J. Comb. Theory, Ser. A 178, Article ID 105362, 38 p. (2021). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 05A30 11A07 33C05 14J32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim The birthday boy problem. arXiv:2108.06586 Preprint, arXiv:2108.06586 [math.NT] (2021). MSC: 11J72 11J82 11Y60 33C20 33C60 33F10 × Cite Format Result Cite Full Text: arXiv OA License
Ringeling, Berend; Zudilin, Wadim Exercising in complex Mahler measures: diamonds are not forever. arXiv:2109.14380 Preprint, arXiv:2109.14380 [math.NT] (2021). MSC: 11R06 11G05 33C75 33E05 × Cite Format Result Cite Full Text: arXiv OA License
Zudilin, Wadim Apéry limits and Mahler measures. arXiv:2109.12972 Preprint, arXiv:2109.12972 [math.NT] (2021). MSC: 11M06 11R06 11Y60 33F10 39A06 × Cite Format Result Cite Full Text: arXiv OA License
Zudilin, Wadim Mahler measure numerology. arXiv:2109.08554 Preprint, arXiv:2109.08554 [math.NT] (2021). MSC: 11R06 11G05 14G10 33C20 33C75 × Cite Format Result Cite Full Text: arXiv OA License
Zudilin, Wadim \((q)\)-supercongruences hit again. (English) Zbl 1472.11029 Hardy-Ramanujan J. 43, 46-55 (2020). MSC: 11A07 11B65 11F33 33C20 33D15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Ekhad, Shalosh B.; Zeilberger, Doron; Zudilin, Wadim Two definite integrals that are definitely (and surprisingly!) equal. (English) Zbl 1462.26003 Math. Intell. 42, No. 3, 10-11 (2020). MSC: 26A06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zeilberger, Doron; Zudilin, Wadim The irrationality measure of \(\pi\) is at most 7.103205334137…. (English) Zbl 1456.11129 Mosc. J. Comb. Number Theory 9, No. 4, 407-419 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11Y60 33F10 33C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim On a family of polynomials related to \(\zeta (2,1)=\zeta (3)\). (English) Zbl 1455.11124 Burgos Gil, José Ignacio (ed.) et al., Periods in quantum field theory and arithmetic. Based on the presentations at the research trimester on multiple zeta values, multiple polylogarithms, and quantum field theory, ICMAT 2014, Madrid, Spain, September 15–19, 2014. Cham: Springer. Springer Proc. Math. Stat. 314, 621-630 (2020). MSC: 11M32 33C47 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Straub, Armin; Zudilin, Wadim Short walk adventures. (English) Zbl 1448.33018 Bailey, David H. (ed.) et al., From analysis to visualization. A celebration of the life and legacy of Jonathan M. Borwein, Callaghan, Australia, September 25–29, 2017. Cham: Springer. Springer Proc. Math. Stat. 313, 423-439 (2020); correction ibid. 313, C1 (2020). Reviewer: István Mező (Nanjing) MSC: 33E05 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Straub, Armin; Zudilin, Wadim Correction to: “Short walk adventures”. (English) Zbl 1466.33014 Bailey, David H. (ed.) et al., From analysis to visualization. A celebration of the life and legacy of Jonathan M. Borwein, Callaghan, Australia, September 25–29, 2017. Cham: Springer. Springer Proc. Math. Stat. 313, C1 (2020). MSC: 33E05 33C20 × Cite Format Result Cite Review PDF Full Text: DOI
Rivoal, Tanguy; Zudilin, Wadim A note on odd zeta values. (English) Zbl 1470.11203 Sémin. Lothar. Comb. 81, Article B81b, 13 p. (2020). MSC: 11J72 11M06 33C20 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Guo, Victor J. W.; Zudilin, Wadim A common \(q\)-analogue of two supercongruences. (English) Zbl 1439.33007 Result. Math. 75, No. 2, Paper No. 46, 11 p. (2020). Reviewer: Faitori Omer Salem (Tripoli) MSC: 33D15 11A07 11B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marcovecchio, Raffaele; Zudilin, Wadim Hypergeometric rational approximations to \(\zeta (4)\). (English) Zbl 1460.11104 Proc. Edinb. Math. Soc., II. Ser. 63, No. 2, 374-397 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11Y60 33C20 33C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brunault, François; Zudilin, Wadim Many variations of Mahler measures. A lasting symphony. (English) Zbl 1476.11002 Australian Mathematical Society Lecture Series 28. Cambridge: Cambridge University Press (ISBN 978-1-108-79445-9/pbk; 978-1-108-88555-3/ebook). xv, 167 p. (2020). Reviewer: Riccardo Pengo (Lyon) MSC: 11-01 11R09 11F67 11G50 × Cite Format Result Cite Review PDF Full Text: DOI
Zudilin, Wadim Diophantine problems related to the Omega constant. arXiv:2004.11029 Preprint, arXiv:2004.11029 [math.NT] (2020). × Cite Format Result Cite Full Text: arXiv OA License
Zudilin, Wadim Congruences for \(q\)-binomial coefficients. (English) Zbl 1431.11032 Ann. Comb. 23, No. 3-4, 1123-1135 (2019). MSC: 11B65 05A10 11A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cooper, Shaun; Zudilin, Wadim Hypergeometric modular equations. (English) Zbl 1428.33014 J. Aust. Math. Soc. 107, No. 3, 338-366 (2019). MSC: 33C20 11B65 11F11 11Y60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krattenthaler, Christian; Zudilin, Wadim Hypergeometry inspired by irrationality questions. (English) Zbl 1450.11072 Kyushu J. Math. 73, No. 1, 189-203 (2019). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11M06 11Y60 33C20 33D15 33F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim Hypergeometric heritage of W. N. Bailey. (English) Zbl 1426.33001 ICCM Not. 7, No. 2, 32-46 (2019). MSC: 33-03 33Cxx 33Dxx 11Jxx 11Mxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim Arithmetic of Catalan’s constant and its relatives. (English) Zbl 1451.11078 Abh. Math. Semin. Univ. Hamb. 89, No. 1, 45-53 (2019). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11Y60 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Broadhurst, David; Zudilin, Wadim A magnetic double integral. (English) Zbl 1470.11068 J. Aust. Math. Soc. 107, No. 1, 9-25 (2019). MSC: 11F11 33C20 33E05 33F10 82D40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Long, Ling; Tu, Fang-Ting; Yui, Noriko; Zudilin, Wadim Supercongruences occurred to rigid hypergeometric type Calabi-Yau threefolds. (English) Zbl 1443.11053 Wood, David R. (ed.) et al., 2017 MATRIX annals. Cham: Springer. MATRIX Book Ser. 2, 467-470 (2019). MSC: 11F33 14J32 33C20 11G25 × Cite Format Result Cite Review PDF Full Text: DOI
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim Many odd zeta values are irrational. (English) Zbl 1430.11097 Compos. Math. 155, No. 5, 938-952 (2019). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11M06 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Guo, Victor J. W.; Zudilin, Wadim On a \(q\)-deformation of modular forms. (English) Zbl 1445.11014 J. Math. Anal. Appl. 475, No. 2, 1636-1646 (2019). Reviewer: Thomas Ernst (Uppsala) MSC: 11B65 33C05 11F03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Victor J. W.; Zudilin, Wadim A \(q\)-microscope for supercongruences. (English) Zbl 1464.11028 Adv. Math. 346, 329-358 (2019). MSC: 11B65 11A07 11Y60 33C20 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim The method of creative microscoping. arXiv:1912.06829 Preprint, arXiv:1912.06829 [math.NT] (2019). MSC: 11B65 11Y60 33C20 33D15 × Cite Format Result Cite Full Text: arXiv OA License
Warnaar, S. Ole; Zudilin, Wadim \(q\)-rious and \(q\)-riouser. arXiv:1909.07045 Preprint, arXiv:1909.07045 [math.NT] (2019). × Cite Format Result Cite Full Text: arXiv OA License
Paşol, Vicenţiu; Zudilin, Wadim A study of elliptic gamma function and allies. (English) Zbl 1440.11063 Res. Math. Sci. 5, No. 4, Paper No. 39, 11 p. (2018). MSC: 11F27 11G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cooper, Shaun; Guillera, Jesús; Straub, Armin; Zudilin, Wadim Crouching AGM, hidden modularity. (English) Zbl 1437.11058 Nashed, M. Zuhair (ed.) et al., Frontiers in orthogonal polynomials and \(q\)-series. Papers based on the international conference, University of Central Florida, Orlando, FL, USA, May 10–12, 2015. Dedicated to Professor Mourad Ismail on his 70th birthday. Hackensack, NJ: World Scientific. Contemp. Math. Appl., Monogr. Expo. Lect. Notes 1, 169-187 (2018). MSC: 11F11 33C20 33F05 65Q30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matala-aho, Tapani; Zudilin, Wadim Euler’s factorial series and global relations. (English) Zbl 1444.11037 J. Number Theory 186, 202-210 (2018). MSC: 11B65 11S80 41A21 33E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Osburn, Robert; Straub, Armin; Zudilin, Wadim A modular supercongruence for \({}_6 F_5\): an Apéry-like story. (Une supercongruence modulaire pour \({}_6 F_5\): un conte à la Apéry.) (English. French summary) Zbl 1429.11039 Ann. Inst. Fourier 68, No. 5, 1987-2004 (2018). MSC: 11B65 33C20 33F10 11F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim Some hypergeometric integrals for linear forms in zeta values. (English) Zbl 1441.11210 Bull. Aust. Math. Soc. 98, No. 3, 372-375 (2018). MSC: 11M06 11J72 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim A hypergeometric version of the modularity of rigid Calabi-Yau manifolds. (English) Zbl 1456.11073 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 086, 16 p. (2018). Reviewer: Noriko Yui (Kingston) MSC: 11F33 11T24 14G10 14J32 14J33 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim 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.) (English. Abridged French version) Zbl 1398.11109 C. R., Math., Acad. Sci. Paris 356, No. 7, 707-711 (2018). Reviewer: Giovanni Coppola (Avellino) MSC: 11M06 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Victor J. W.; Zudilin, Wadim Ramanujan-type formulae for \(1/\pi: q\)-analogues. (English) Zbl 1436.11024 Integral Transforms Spec. Funct. 29, No. 7, 505-513 (2018). MSC: 11B65 11Y60 33C20 33D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luca, Florian; Polanco, Geremías; Zudilin, Wadim A variation on the theme of Nicomachus. (English) Zbl 1410.11079 Bull. Aust. Math. Soc. 97, No. 3, 367-373 (2018). Reviewer: Christophe Ritzenthaler (Marseille) MSC: 11G20 11D25 11B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim One of the odd zeta values from \(\zeta(5)\) to \(\zeta(25)\) is irrational. By elementary means. (English) Zbl 1445.11063 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 028, 8 p. (2018). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11M06 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Viola, Carlo; Zudilin, Wadim Linear independence of dilogarithmic values. (English) Zbl 1454.11131 J. Reine Angew. Math. 736, 193-223 (2018). MSC: 11J72 11J82 × Cite Format Result Cite Review PDF Full Text: DOI Link
Cooper, Shaun; Wan, James G.; Zudilin, Wadim Holonomic alchemy and series for \(1/\pi \). (English) Zbl 1391.11165 Andrews, George E. (ed.) et al., Analytic number theory, modular forms and \(q\)-hypergeometric series. In honor of Krishna Alladi’s 60th birthday, University of Florida, Gainesville, FL, USA, March 17–21, 2016. Cham: Springer (ISBN 978-3-319-68375-1/hbk; 978-3-319-68376-8/ebook). Springer Proceedings in Mathematics & Statistics 221, 179-205 (2017). MSC: 11Y60 11F11 11B65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertin, Marie José; Zudilin, Wadim On the Mahler measure of hyperelliptic families. (English. French summary) Zbl 1434.11211 Ann. Math. Qué. 41, No. 1, 199-211 (2017). MSC: 11R06 11G30 14H52 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim A determinantal approach to irrationality. (English) Zbl 1367.11062 Constr. Approx. 45, No. 2, 301-310 (2017). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 30C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim On the irrationality of generalized \(q\)-logarithm. (English) Zbl 1415.11099 Res. Number Theory 2, Paper No. 15, 10 p. (2016). MSC: 11J72 11C20 33D15 41A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bertin, Marie José; Zudilin, Wadim On the Mahler measure of a family of genus 2 curves. (English) Zbl 1347.11076 Math. Z. 283, No. 3-4, 1185-1193 (2016). Reviewer: David W. Boyd (Vancouver) MSC: 11R06 11G05 11G30 11F67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Lalín, Matilde; Samart, Detchat; Zudilin, Wadim Further explorations of Boyd’s conjectures and a conductor 21 elliptic curve. (English) Zbl 1337.11072 J. Lond. Math. Soc., II. Ser. 93, No. 2, 341-360 (2016). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 11F67 11G05 11G16 19F27 33C75 33E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brent, Richard P.; Coons, Michael; Zudilin, Wadim Algebraic independence of Mahler functions via radial asymptotics. (English) Zbl 1415.11104 Int. Math. Res. Not. 2016, No. 2, 571-603 (2016). MSC: 11J85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Osburn, Robert; Zudilin, Wadim On the (K.2) supercongruence of Van Hamme. (English) Zbl 1400.11062 J. Math. Anal. Appl. 433, No. 1, 706-711 (2016). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11B65 11A07 33C20 33F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haynes, Alan; Zudilin, Wadim Hankel determinants of zeta values. (English) Zbl 1387.11054 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 101, 5 p. (2015). MSC: 11J72 11M06 41A60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EMIS
Straub, Armin; Zudilin, Wadim Positivity of rational functions and their diagonals. (English) Zbl 1374.05023 J. Approx. Theory 195, 57-69 (2015). MSC: 05A15 33F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim Multiple \(q\)-zeta brackets. (English) Zbl 1312.11069 Mathematics 3, No. 1, 119-130 (2015). MSC: 11M32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim On three theorems of Folsom, Ono and Rhoades. (English) Zbl 1311.11026 Proc. Am. Math. Soc. 143, No. 4, 1471-1476 (2015). Reviewer: J. G. M. Mars (Utrecht) MSC: 11F03 11P84 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rogers, Mathew; Zudilin, Wadim On the Mahler measure of \(1+X+1/X+Y +1/Y\). (English) Zbl 1378.11091 Int. Math. Res. Not. 2014, No. 9, 2305-2326 (2014). MSC: 11R06 11G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim Two hypergeometric tales and a new irrationality measure of \(\zeta (2)\). (English) Zbl 1307.11085 Ann. Math. Qué. 38, No. 1, 101-117 (2014). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J82 11Y60 33C20 33C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dauguet, Simon; Zudilin, Wadim On simultaneous Diophantine approximations to \(\zeta(2)\) and \(\zeta(3)\). (English) Zbl 1315.11062 J. Number Theory 145, 362-387 (2014). Reviewer: Yaochen Zhu (Beijing) MSC: 11J82 11J72 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borwein, Jonathan; van der Poorten, Alf; Shallit, Jeffrey; Zudilin, Wadim Neverending fractions. An introduction to continued fractions. (English) Zbl 1307.11001 Australian Mathematical Society Lecture Series 23. Cambridge: Cambridge University Press (ISBN 978-0-521-18649-0/pbk; 978-1-107-00665-2/hbk; 978-0-511-90265-9/ebook). x, 212 p. (2014). Reviewer: Werner Kleinert (Berlin) MSC: 11-01 11A55 11J70 11K50 11Y65 × Cite Format Result Cite Review PDF Full Text: DOI
Zudilin, Wadim Regulator of modular units and Mahler measures. (English) Zbl 1386.11129 Math. Proc. Camb. Philos. Soc. 156, No. 2, 313-326 (2014). MSC: 11R06 11F11 11M36 11R27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim A generating function of the squares of Legendre polynomials. (English) Zbl 1334.33022 Bull. Aust. Math. Soc. 89, No. 1, 125-131 (2014). Reviewer: Richard B. Paris (Dundee) MSC: 33C20 11F03 11F11 11Y60 33C45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guillera, Jesús; Zudilin, Wadim Ramanujan-type formulae for \(1/\pi\): the art of translation. (English) Zbl 1371.11162 Berndt, Bruce C. (ed.) et al., The legacy of Srinivasa Ramanujan. Proceedings of the international conference in celebration of the 125th anniversary of Ramanujan’s birth, University of Delhi, Delhi, India, December 17–22, 2012. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-13-7/hbk). Ramanujan Mathematical Society Lecture Notes Series 20, 181-195 (2013). MSC: 11Y60 33C20 11F11 65B10 × Cite Format Result Cite Review PDF Full Text: arXiv
Zudilin, W. On the irrationality measure of \(\pi^2\). (English. Russian original) Zbl 1286.11111 Russ. Math. Surv. 68, No. 6, 1133-1135 (2013); translation from Usp. Mat. Nauk 68, No. 6, 171-172 (2013). MSC: 11J82 11J72 11Y60 33C20 33C60 × Cite Format Result Cite Review PDF Full Text: DOI
Chappell, Tom; Lascoux, Alain; Warnaar, S. Ole; Zudilin, Wadim Logarithmic and complex constant term identities. (English) Zbl 1290.05152 Bailey, David H. (ed.) et al., Computational and analytical mathematics. In Honor of Jonathan Borwein’s 60th birthday. Selected papers based on the presentations at the workshop, also known as JonFest, Simon Fraser University, BC, Canada, May 16–20, 2011. New York, NY: Springer (ISBN 978-1-4614-7620-7/hbk; 978-1-4614-7621-4/ebook). Springer Proceedings in Mathematics & Statistics 50, 219-250 (2013). Reviewer: Matthew Davis (New Concord) MSC: 05E05 05A05 05A10 05A19 33C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wan, James; Zudilin, Wadim Generating functions of Legendre polynomials: a tribute to Fred Brafman. (English) Zbl 1282.33015 J. Approx. Theory 170, 198-213 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 11B83 65Q30 × Cite Format Result Cite Review PDF Full Text: DOI
Zudilin, Wadim Lost in translation. (English) Zbl 1285.33008 Kotsireas, Ilias S. (ed.) et al., Advances in combinatorics. In part based on the 3rd Waterloo workshop on computer algebra (WWCA, W80) 2011, Waterloo, Canada, May 26–29, 2011. Dedicated to Herbert Saul Wilf on the occasion of his 80th birthday. Berlin: Springer (ISBN 978-3-642-30978-6/hbk; 978-3-642-30979-3/ebook). 287-293 (2013). MSC: 33C20 11Y60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zudilin, Wadim Period(d)ness of \(L\)-values. (English) Zbl 1316.11038 Borwein, Jonathan M. (ed.) et al., Number theory and related fields. In memory of Alf van der Poorten. Based on the proceedings of the international number theory conference, Newcastle, Australia, March 12–16, 2012. New York, NY: Springer (ISBN 978-1-4614-6641-3/hbk; 978-1-4614-6642-0/ebook). Springer Proceedings in Mathematics & Statistics 43, 381-395 (2013). Reviewer: Artūras Dubickas (Vilnius) MSC: 11F67 11G55 × Cite Format Result Cite Review PDF Full Text: DOI
Chan, Heng Huat; Wan, James; Zudilin, Wadim Legendre polynomials and Ramanujan-type series for \(1/\pi\). (English) Zbl 1357.11123 Isr. J. Math. 194, Part A, 183-207 (2013). MSC: 11Y60 33C45 11F27 × Cite Format Result Cite Review PDF Full Text: DOI
Borwein, Jonathan M. (ed.); Shparlinski, Igor (ed.); Zudilin, Wadim (ed.) Number theory and related fields. In memory of Alf van der Poorten. Based on the proceedings of the international number theory conference, Newcastle, Australia, March 12–16, 2012. (English) Zbl 1266.11001 Springer Proceedings in Mathematics & Statistics 43. New York, NY: Springer (ISBN 978-1-4614-6641-3/hbk; 978-1-4614-6642-0/ebook). x, 395 p. (2013). MSC: 11-06 00B25 00B30 01A70 11-03 01A60 11A55 11B75 11E20 11M06 × Cite Format Result Cite Review PDF Full Text: DOI
Zudilin, Wadim Apéry’s theorem and problems for the values of Riemann’s zeta function and their \(q\)-analogues. arXiv:1312.6919 Preprint, arXiv:1312.6919 [math.NT] (2013). × Cite Format Result Cite Full Text: arXiv OA License
Chan, Heng Huat; Wan, James; Zudilin, Wadim Complex series for \(1/\pi\). (English) Zbl 1336.11079 Ramanujan J. 29, No. 1-3, 135-144 (2012). Reviewer: Cristinel Mortici (Târgovişte) MSC: 11Y60 11F11 11F03 33C05 33C20 × Cite Format Result Cite Review PDF Full Text: DOI
Borwein, Jonathan M.; Straub, Armin; Wan, James; Zudilin, Wadim Densities of short uniform random walks. (English) Zbl 1296.33011 Can. J. Math. 64, No. 5, 961-990 (2012). Reviewer: István Mező (Debrecen) MSC: 33C20 60G50 34M25 44A10 05A19 11F11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rogers, Mathew; Zudilin, Wadim From \(L\)-series of elliptic curves to Mahler measures. (English) Zbl 1260.11062 Compos. Math. 148, No. 2, 385-414 (2012). Reviewer: Artūras Dubickas (Vilnius) MSC: 11R06 33C20 11F03 11G05 19F27 33C75 33E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guillera, Jesús; Zudilin, Wadim “Divergent” Ramanujan-type supercongruences. (English) Zbl 1276.11027 Proc. Am. Math. Soc. 140, No. 3, 765-777 (2012). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 11A07 33C20 33F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wan, James; Zudilin, Wadim Generating functions of Legendre polynomials: A tribute to Fred Brafman. (English) Zbl 1242.33018 J. Approx. Theory 164, No. 4, 488-503 (2012). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 33C05 33C20 × Cite Format Result Cite Review PDF Full Text: DOI
Warnaar, S. Ole; Zudilin, Wadim Dedekind’s \(\eta \)-function and Rogers-Ramanujan identities. (English) Zbl 1234.05040 Bull. Lond. Math. Soc. 44, No. 1, 1-11 (2012). MSC: 05A19 05E05 11F20 33D67 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ohno, Yasuo; Okuda, Jun-Ichi; Zudilin, Wadim Cyclic \(q\)-MZSV sum. (English) Zbl 1268.11119 J. Number Theory 132, No. 1, 144-155 (2012). MSC: 11M32 11G55 16W25 33D70 × Cite Format Result Cite Review PDF Full Text: DOI
Zudilin, Wadim Transformations of \(L\)-values. arXiv:1202.5630 Preprint, arXiv:1202.5630 [math.NT] (2012). MSC: 11F67 11F03 11R06 14H52 19F27 33E05 × Cite Format Result Cite Full Text: arXiv OA License
Chan, Heng Huat; Tanigawa, Yoshio; Yang, Yifan; Zudilin, Wadim New analogues of Clausen’s identities arising from the theory of modular forms. (English) Zbl 1234.33009 Adv. Math. 228, No. 2, 1294-1314 (2011). Reviewer: Jeremy Lovejoy (Paris) MSC: 33C20 05A10 11F03 11F11 11Y60 × Cite Format Result Cite Review PDF Full Text: DOI
Zudilin, V. V. Arithmetic hypergeometric series. (English. Russian original) Zbl 1225.33008 Russ. Math. Surv. 66, No. 2, 369-420 (2011); translation from Usp. Mat. Nauk 66, No. 2, 163-216 (2011). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C20 11J82 11M06 11Y60 33C75 × Cite Format Result Cite Review PDF Full Text: DOI