Mao, Guo-Shuai; Li, Danrui Proof of some conjectural congruences modulo \(p^3\). (English) Zbl 07513893 J. Difference Equ. Appl. 28, No. 4, 496-509 (2022). MSC: 11A07 05A10 11B65 11B68 PDF BibTeX XML Cite \textit{G.-S. Mao} and \textit{D. Li}, J. Difference Equ. Appl. 28, No. 4, 496--509 (2022; Zbl 07513893) Full Text: DOI OpenURL
Zhang, Yong Three supercongruences for Apéry numbers and Franel numbers. (English) Zbl 07399095 Publ. Math. 98, No. 3-4, 493-511 (2021). MSC: 11A07 11B65 05A10 11B39 11B75 PDF BibTeX XML Cite \textit{Y. Zhang}, Publ. Math. 98, No. 3--4, 493--511 (2021; Zbl 07399095) Full Text: DOI arXiv OpenURL
Liu, Ji-Cai On two supercongruences for sums of Apéry-like numbers. (English) Zbl 1483.11002 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 151, 7 p. (2021). Reviewer: Guo-Shuai Mao (Nanjing) MSC: 11A07 11B68 33F10 05A19 PDF BibTeX XML Cite \textit{J.-C. Liu}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 3, Paper No. 151, 7 p. (2021; Zbl 1483.11002) Full Text: DOI OpenURL
Liu, Ji-Cai A supercongruence relation among Apéry-like numbers. (English) Zbl 1462.11009 Colloq. Math. 163, No. 2, 333-340 (2021). MSC: 11A07 11B68 05A19 PDF BibTeX XML Cite \textit{J.-C. Liu}, Colloq. Math. 163, No. 2, 333--340 (2021; Zbl 1462.11009) Full Text: DOI OpenURL
Sun, Brian Yi; Zhao, James Jing-Yu Log-behavior of two sequences related to the elliptic integrals. (English) Zbl 07342561 Acta Math. Appl. Sin., Engl. Ser. 36, No. 3, 590-602 (2020). MSC: 11B83 05A20 PDF BibTeX XML Cite \textit{B. Y. Sun} and \textit{J. J. Y. Zhao}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 3, 590--602 (2020; Zbl 07342561) Full Text: DOI arXiv OpenURL
Tauraso, Roberto A bivariate generating function for zeta values and related supercongruences. (English) Zbl 1465.11033 J. Difference Equ. Appl. 26, No. 11-12, 1526-1537 (2020). MSC: 11A07 05A19 11B65 11M06 PDF BibTeX XML Cite \textit{R. Tauraso}, J. Difference Equ. Appl. 26, No. 11--12, 1526--1537 (2020; Zbl 1465.11033) Full Text: DOI arXiv OpenURL
Mao, Guo-Shuai On two congruences involving Apéry and Franel numbers. (English) Zbl 1461.11007 Result. Math. 75, No. 4, Paper No. 159, 11 p. (2020). MSC: 11A07 05A10 11B65 PDF BibTeX XML Cite \textit{G.-S. Mao}, Result. Math. 75, No. 4, Paper No. 159, 11 p. (2020; Zbl 1461.11007) Full Text: DOI arXiv OpenURL
Sun, Zhi-Hong Congruences involving binomial coefficients and Apéry-like numbers. (English) Zbl 1474.11002 Publ. Math. 96, No. 3-4, 315-346 (2020). MSC: 11A07 11B65 11B68 11E25 PDF BibTeX XML Cite \textit{Z.-H. Sun}, Publ. Math. 96, No. 3--4, 315--346 (2020; Zbl 1474.11002) Full Text: DOI arXiv OpenURL
Wang, Chen Two congruences concerning Apéry numbers conjectured by Z.-W. Sun. (English) Zbl 1461.11039 Electron Res. Arch. 28, No. 2, 1063-1075 (2020). MSC: 11B65 11B68 05A10 11A07 PDF BibTeX XML Cite \textit{C. Wang}, Electron Res. Arch. 28, No. 2, 1063--1075 (2020; Zbl 1461.11039) Full Text: DOI arXiv OpenURL
Dil, Ayhan; Boyadzhiev, Khristo N.; Aliev, Ilham A. On values of the Riemann zeta function at positive integers. (English) Zbl 1472.11231 Lith. Math. J. 60, No. 1, 9-24 (2020). Reviewer: Ramdin Mawia (Kolkata) MSC: 11M06 11B68 33E20 PDF BibTeX XML Cite \textit{A. Dil} et al., Lith. Math. J. 60, No. 1, 9--24 (2020; Zbl 1472.11231) Full Text: DOI OpenURL
Cao, Hui-Qin; Matiyasevich, Yuri; Sun, Zhi-Wei Congruences for Apéry numbers \(\beta_n = \sum_{k = 0}^n \binom{n}{k}^2 \binom{n + k}{k}\). (English) Zbl 1471.11089 Int. J. Number Theory 16, No. 5, 981-1003 (2020). MSC: 11B65 11A07 11B68 11B75 PDF BibTeX XML Cite \textit{H.-Q. Cao} et al., Int. J. Number Theory 16, No. 5, 981--1003 (2020; Zbl 1471.11089) Full Text: DOI arXiv OpenURL
Liu, Ji-Cai On a sum of Apéry-like numbers arising from spectral zeta functions. (English) Zbl 1457.11009 Colloq. Math. 160, No. 1, 1-6 (2020). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 05A19 11M41 11M36 11B65 PDF BibTeX XML Cite \textit{J.-C. Liu}, Colloq. Math. 160, No. 1, 1--6 (2020; Zbl 1457.11009) Full Text: DOI OpenURL
Mao, Guo-Shuai; Wang, Jie On some congruences involving Domb numbers and harmonic numbers. (English) Zbl 1433.11017 Int. J. Number Theory 15, No. 10, 2179-2200 (2019). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11B65 11B75 11A07 PDF BibTeX XML Cite \textit{G.-S. Mao} and \textit{J. Wang}, Int. J. Number Theory 15, No. 10, 2179--2200 (2019; Zbl 1433.11017) Full Text: DOI OpenURL
Gorodetsky, Ofir \(q\)-congruences, with applications to supercongruences and the cyclic sieving phenomenon. (English) Zbl 1423.11043 Int. J. Number Theory 15, No. 9, 1919-1968 (2019). MSC: 11B65 05A30 11A07 11B83 PDF BibTeX XML Cite \textit{O. Gorodetsky}, Int. J. Number Theory 15, No. 9, 1919--1968 (2019; Zbl 1423.11043) Full Text: DOI arXiv OpenURL
Kazalicki, Matija Congruences for sporadic sequences and modular forms for non-congruence subgroups. (English) Zbl 1478.11070 Res. Math. Sci. 6, No. 3, Paper No. 28, 9 p. (2019). MSC: 11F33 11F11 11B83 14F40 11F80 PDF BibTeX XML Cite \textit{M. Kazalicki}, Res. Math. Sci. 6, No. 3, Paper No. 28, 9 p. (2019; Zbl 1478.11070) Full Text: DOI arXiv OpenURL
Liu, Ji-Cai; Wang, Chen Congruences for the \((p-1)\)th Apéry number. (English) Zbl 1479.11009 Bull. Aust. Math. Soc. 99, No. 3, 362-368 (2019). Reviewer: Zhihong Sun (Huaian) MSC: 11A07 11B65 11B68 PDF BibTeX XML Cite \textit{J.-C. Liu} and \textit{C. Wang}, Bull. Aust. Math. Soc. 99, No. 3, 362--368 (2019; Zbl 1479.11009) Full Text: DOI OpenURL
Gassert, T. Alden; Shor, Caleb McKinley Characterizations of numerical semigroup complements via Apéry sets. (English) Zbl 1440.20020 Semigroup Forum 98, No. 1, 31-47 (2019). MSC: 20M14 11D04 11D07 PDF BibTeX XML Cite \textit{T. A. Gassert} and \textit{C. M. Shor}, Semigroup Forum 98, No. 1, 31--47 (2019; Zbl 1440.20020) Full Text: DOI arXiv OpenURL
Straub, Armin Supercongruences for polynomial analogs of the Apéry numbers. (English) Zbl 1442.11039 Proc. Am. Math. Soc. 147, No. 3, 1023-1036 (2019). Reviewer: Thomas Ernst (Uppsala) MSC: 11B65 05A30 11B83 PDF BibTeX XML Cite \textit{A. Straub}, Proc. Am. Math. Soc. 147, No. 3, 1023--1036 (2019; Zbl 1442.11039) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{R. Osburn} et al., Ann. Inst. Fourier 68, No. 5, 1987--2004 (2018; Zbl 1429.11039) Full Text: DOI arXiv OpenURL
Kalita, Gautam Beukers-like supercongruences for generalized Apéry numbers. (English) Zbl 1404.11005 Ramanujan J. 47, No. 3, 501-508 (2018). MSC: 11A07 33C20 12E20 PDF BibTeX XML Cite \textit{G. Kalita}, Ramanujan J. 47, No. 3, 501--508 (2018; Zbl 1404.11005) Full Text: DOI OpenURL
Delaygue, É. Arithmetic properties of Apéry-like numbers. (English) Zbl 1441.11033 Compos. Math. 154, No. 2, 249-274 (2018). Reviewer: Luis Gallardo (Brest) MSC: 11B50 11B65 05A10 PDF BibTeX XML Cite \textit{É. Delaygue}, Compos. Math. 154, No. 2, 249--274 (2018; Zbl 1441.11033) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Cooper} et al., Springer Proc. Math. Stat. 221, 179--205 (2017; Zbl 1391.11165) Full Text: DOI arXiv OpenURL
Batir, Necdet On some combinatorial identities and harmonic sums. (English) Zbl 1376.11065 Int. J. Number Theory 13, No. 7, 1695-1709 (2017). Reviewer: Giovanni Coppola (Avellino) MSC: 11M06 11B75 05A19 PDF BibTeX XML Cite \textit{N. Batir}, Int. J. Number Theory 13, No. 7, 1695--1709 (2017; Zbl 1376.11065) Full Text: DOI arXiv OpenURL
Kalita, Gautam; Chetry, Arjun Singh Congruences for generalized Apéry numbers and Gaussian hypergeometric series. (English) Zbl 1358.11013 Res. Number Theory 3, Paper No. 5, 15 p. (2017). MSC: 11A07 33C20 12E20 PDF BibTeX XML Cite \textit{G. Kalita} and \textit{A. S. Chetry}, Res. Number Theory 3, Paper No. 5, 15 p. (2017; Zbl 1358.11013) Full Text: DOI OpenURL
Kimoto, Kazufumi Generalized Apéry-like numbers arising from the non-commutative harmonic oscillator. (English) Zbl 1361.11054 Ryukyu Math. J. 29, 1-31 (2016). MSC: 11M41 11B65 33E20 PDF BibTeX XML Cite \textit{K. Kimoto}, Ryukyu Math. J. 29, 1--31 (2016; Zbl 1361.11054) OpenURL
Sun, Zhi-Wei Congruences involving \(g_n(x)=\sum\limits_{k=0}^n\dbinom{n}{k}^2\dbinom{2k}{k}x^k\). (English) Zbl 1366.11006 Ramanujan J. 40, No. 3, 511-533 (2016). MSC: 11A07 11B65 05A10 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Ramanujan J. 40, No. 3, 511--533 (2016; Zbl 1366.11006) Full Text: DOI OpenURL
Long, Ling; Osburn, Robert; Swisher, Holly On a conjecture of Kimoto and Wakayama. (English) Zbl 1402.11111 Proc. Am. Math. Soc. 144, No. 10, 4319-4327 (2016). MSC: 11M36 33C20 11B65 PDF BibTeX XML Cite \textit{L. Long} et al., Proc. Am. Math. Soc. 144, No. 10, 4319--4327 (2016; Zbl 1402.11111) Full Text: DOI arXiv Link OpenURL
Malik, Amita; Straub, Armin Divisibility properties of sporadic Apéry-like numbers. (English) Zbl 1404.11015 Res. Number Theory 2, Paper No. 5, 26 p. (2016). MSC: 11B37 11B50 11A07 PDF BibTeX XML Cite \textit{A. Malik} and \textit{A. Straub}, Res. Number Theory 2, Paper No. 5, 26 p. (2016; Zbl 1404.11015) Full Text: DOI arXiv OpenURL
Osburn, Robert; Sahu, Brundaban; Straub, Armin Supercongruences for sporadic sequences. (English) Zbl 1411.11005 Proc. Edinb. Math. Soc., II. Ser. 59, No. 2, 503-518 (2016). MSC: 11A07 11B83 PDF BibTeX XML Cite \textit{R. Osburn} et al., Proc. Edinb. Math. Soc., II. Ser. 59, No. 2, 503--518 (2016; Zbl 1411.11005) Full Text: DOI arXiv OpenURL
Alzer, Horst; Sondow, Jonathan A parametrized series representation for Apery’s constant \(\zeta(3)\). (English) Zbl 1342.11072 J. Comput. Anal. Appl. 20, No. 7, 1380-1386 (2016). MSC: 11M06 11Y60 PDF BibTeX XML Cite \textit{H. Alzer} and \textit{J. Sondow}, J. Comput. Anal. Appl. 20, No. 7, 1380--1386 (2016; Zbl 1342.11072) OpenURL
Hellus, M.; Waldi, R. On the number of numerical semigroups containing two coprime integers \(p\) and \(q\). (English) Zbl 1335.20058 Semigroup Forum 90, No. 3, 833-842 (2015). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M14 52B05 11P21 PDF BibTeX XML Cite \textit{M. Hellus} and \textit{R. Waldi}, Semigroup Forum 90, No. 3, 833--842 (2015; Zbl 1335.20058) Full Text: DOI OpenURL
Alkan, Emre Series representing transcendental numbers that are not U-numbers. (English) Zbl 1328.11079 Int. J. Number Theory 11, No. 3, 869-892 (2015). Reviewer: András Bazsó (Debrecen) MSC: 11J82 33E20 33C45 PDF BibTeX XML Cite \textit{E. Alkan}, Int. J. Number Theory 11, No. 3, 869--892 (2015; Zbl 1328.11079) Full Text: DOI OpenURL
Krattenthaler, C.; Müller, T. W. Generalised Apéry numbers modulo 9. (English) Zbl 1302.05008 J. Number Theory 147, 708-720 (2015). MSC: 05A15 11A07 PDF BibTeX XML Cite \textit{C. Krattenthaler} and \textit{T. W. Müller}, J. Number Theory 147, 708--720 (2015; Zbl 1302.05008) Full Text: DOI arXiv OpenURL
Mingarelli, Angelo B. Some conjectures in elementary number theory. (English) Zbl 1385.11047 Int. J. Math. Comput. Sci. 9, No. 2, 99-105 (2014). MSC: 11J72 11B65 05A10 PDF BibTeX XML Cite \textit{A. B. Mingarelli}, Int. J. Math. Comput. Sci. 9, No. 2, 99--105 (2014; Zbl 1385.11047) Full Text: arXiv OpenURL
Kunz, E.; Waldi, R. Geometrical illustration of numerical semigroups and of some of their invariants. (English) Zbl 1325.20053 Semigroup Forum 89, No. 3, 664-691 (2014). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M14 05A10 PDF BibTeX XML Cite \textit{E. Kunz} and \textit{R. Waldi}, Semigroup Forum 89, No. 3, 664--691 (2014; Zbl 1325.20053) Full Text: DOI OpenURL
Yang, Peng; Cai, Tianxin On the divisibility of multinomial exponent sums. (English) Zbl 1313.11003 Adv. Math., Beijing 43, No. 3, 387-397 (2014). MSC: 11A05 11B39 11B65 PDF BibTeX XML Cite \textit{P. Yang} and \textit{T. Cai}, Adv. Math., Beijing 43, No. 3, 387--397 (2014; Zbl 1313.11003) Full Text: DOI OpenURL
Straub, Armin Multivariate Apéry numbers and supercongruences of rational functions. (English) Zbl 1306.11005 Algebra Number Theory 8, No. 8, 1985-2008 (2014). MSC: 11A07 11B83 11B37 05A10 PDF BibTeX XML Cite \textit{A. Straub}, Algebra Number Theory 8, No. 8, 1985--2008 (2014; Zbl 1306.11005) Full Text: DOI arXiv OpenURL
Kazalicki, Matija Modular forms, hypergeometric functions and congruences. (English) Zbl 1312.11017 Ramanujan J. 34, No. 1, 1-9 (2014). MSC: 11B83 11B65 11A07 11F30 11F37 PDF BibTeX XML Cite \textit{M. Kazalicki}, Ramanujan J. 34, No. 1, 1--9 (2014; Zbl 1312.11017) Full Text: DOI arXiv OpenURL
Sun, Zhi-Wei Congruences for Franel numbers. (English) Zbl 1281.05007 Adv. Appl. Math. 51, No. 4, 524-535 (2013). MSC: 05A10 11A07 11B65 PDF BibTeX XML Cite \textit{Z.-W. Sun}, Adv. Appl. Math. 51, No. 4, 524--535 (2013; Zbl 1281.05007) Full Text: DOI arXiv OpenURL
Chappelon, Jonathan; Ramírez Alfonsín, Jorge Luis On the Möbius function of the locally finite poset associated with a numerical semigroup. (English) Zbl 1284.20069 Semigroup Forum 87, No. 2, 313-330 (2013). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M14 06A07 05A15 PDF BibTeX XML Cite \textit{J. Chappelon} and \textit{J. L. Ramírez Alfonsín}, Semigroup Forum 87, No. 2, 313--330 (2013; Zbl 1284.20069) Full Text: DOI arXiv OpenURL
Moyano-Fernández, Julio José A note on the computation of the Frobenius number of a numerical semigroup. (English) Zbl 1266.20072 Semigroup Forum 86, No. 1, 224-227 (2013). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M14 13H10 11D07 PDF BibTeX XML Cite \textit{J. J. Moyano-Fernández}, Semigroup Forum 86, No. 1, 224--227 (2013; Zbl 1266.20072) Full Text: DOI arXiv OpenURL
Robles-Pérez, Aureliano M.; Rosales, José Carlos Modular translations of numerical semigroups. (English) Zbl 1266.20074 Semigroup Forum 86, No. 1, 183-191 (2013). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M14 20M05 11D07 PDF BibTeX XML Cite \textit{A. M. Robles-Pérez} and \textit{J. C. Rosales}, Semigroup Forum 86, No. 1, 183--191 (2013; Zbl 1266.20074) Full Text: DOI OpenURL
Luca, Florian; Stănică, Pantelimon On some conjectures on the monotonicity of some arithmetical sequences. (English) Zbl 1339.11038 J. Comb. Number Theory 4, No. 2, 115-123 (2012). Reviewer: Stephan Wagner (Stellenbosch) MSC: 11B83 11B65 11B68 05A10 PDF BibTeX XML Cite \textit{F. Luca} and \textit{P. Stănică}, J. Comb. Number Theory 4, No. 2, 115--123 (2012; Zbl 1339.11038) OpenURL
Sammartano, Alessio Numerical semigroups with large embedding dimension satisfy Wilf’s conjecture. (English) Zbl 1263.20058 Semigroup Forum 85, No. 3, 439-447 (2012). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M14 20M05 11D07 PDF BibTeX XML Cite \textit{A. Sammartano}, Semigroup Forum 85, No. 3, 439--447 (2012; Zbl 1263.20058) Full Text: DOI arXiv OpenURL
Blanco, V.; Rosales, J. C. The set of numerical semigroups of a given genus. (English) Zbl 1263.20057 Semigroup Forum 85, No. 2, 255-267 (2012). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M14 20-04 68W30 PDF BibTeX XML Cite \textit{V. Blanco} and \textit{J. C. Rosales}, Semigroup Forum 85, No. 2, 255--267 (2012; Zbl 1263.20057) Full Text: DOI arXiv Link OpenURL
Hessami Pilehrood, Kh.; Hessami Pilehrood, T. Congruences arising from Apéry-type series for zeta values. (English) Zbl 1293.11030 Adv. Appl. Math. 49, No. 3-5, 218-238 (2012). Reviewer: Romeo Meštrović (Kotor) MSC: 11B65 05A10 11B68 11A07 33F10 11B39 11M06 PDF BibTeX XML Cite \textit{Kh. Hessami Pilehrood} and \textit{T. Hessami Pilehrood}, Adv. Appl. Math. 49, No. 3--5, 218--238 (2012; Zbl 1293.11030) Full Text: DOI arXiv OpenURL
Guo, Victor J. W.; Zeng, Jiang New congruences for sums involving Apéry numbers or central Delannoy numbers. (English) Zbl 1268.11028 Int. J. Number Theory 8, No. 8, 2003-2016 (2012). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 05A10 11A07 PDF BibTeX XML Cite \textit{V. J. W. Guo} and \textit{J. Zeng}, Int. J. Number Theory 8, No. 8, 2003--2016 (2012; Zbl 1268.11028) Full Text: DOI arXiv OpenURL
Sun, Zhi-Wei On sums of Apéry polynomials and related congruences. (English) Zbl 1275.11038 J. Number Theory 132, No. 11, 2673-2699 (2012). MSC: 11B65 05A10 11A07 11B68 PDF BibTeX XML Cite \textit{Z.-W. Sun}, J. Number Theory 132, No. 11, 2673--2699 (2012; Zbl 1275.11038) Full Text: DOI arXiv OpenURL
Assi, Abdallah The Frobenius vector of a free affine semigroup. (English) Zbl 1254.20051 J. Algebra Appl. 11, No. 4, Article ID 1250065, 10 p. (2012). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M14 52C07 20M05 14B05 32S05 PDF BibTeX XML Cite \textit{A. Assi}, J. Algebra Appl. 11, No. 4, Article ID 1250065, 10 p. (2012; Zbl 1254.20051) Full Text: DOI arXiv OpenURL
Kaplan, Nathan Counting numerical semigroups by genus and some cases of a question of Wilf. (English) Zbl 1255.20054 J. Pure Appl. Algebra 216, No. 5, 1016-1032 (2012). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M14 05A15 11D07 PDF BibTeX XML Cite \textit{N. Kaplan}, J. Pure Appl. Algebra 216, No. 5, 1016--1032 (2012; Zbl 1255.20054) Full Text: DOI OpenURL
Osburn, Robert; Sahu, Brundaban Supercongruences for Apéry-like numbers. (English) Zbl 1244.11006 Adv. Appl. Math. 47, No. 3, 631-638 (2011). Reviewer: Yang Yifan (Hsinchu) MSC: 11A07 11F11 PDF BibTeX XML Cite \textit{R. Osburn} and \textit{B. Sahu}, Adv. Appl. Math. 47, No. 3, 631--638 (2011; Zbl 1244.11006) Full Text: DOI arXiv OpenURL
İlhan, Sedat; Süer, Meral On a class of pseudo-symmetric numerical semigroups. (English) Zbl 1217.20035 JP J. Algebra Number Theory Appl. 20, No. 2, 225-230 (2011). MSC: 20M14 20M05 PDF BibTeX XML Cite \textit{S. İlhan} and \textit{M. Süer}, JP J. Algebra Number Theory Appl. 20, No. 2, 225--230 (2011; Zbl 1217.20035) Full Text: Link OpenURL
Luca, Florian; Shparlinski, Igor E. On the \(g\)-ary expansions of Apéry, Motzkin, Schröder and other combinatorial numbers. (English) Zbl 1233.05020 Ann. Comb. 14, No. 4, 507-524 (2010). MSC: 11B83 05A10 11A67 11B05 PDF BibTeX XML Cite \textit{F. Luca} and \textit{I. E. Shparlinski}, Ann. Comb. 14, No. 4, 507--524 (2010; Zbl 1233.05020) Full Text: DOI OpenURL
Chan, Heng Huat; Kontogeorgis, Aristides; Krattenthaler, Christian; Osburn, Robert Supercongruences satisfied by coefficients of \(_2F_1\) hypergeometric series. (English. French summary) Zbl 1236.33006 Ann. Sci. Math. Qué. 34, No. 1, 25-36 (2010). Reviewer: Jürgen Wolfart (Frankfurt am Main) MSC: 33C05 05A10 11B65 11F11 PDF BibTeX XML Cite \textit{H. H. Chan} et al., Ann. Sci. Math. Qué. 34, No. 1, 25--36 (2010; Zbl 1236.33006) Full Text: arXiv OpenURL
İlhan, Sedat An approach to numerical semigroups. (English) Zbl 1216.20052 Hacet. J. Math. Stat. 39, No. 3, 411-415 (2010). MSC: 20M14 20M12 20M05 PDF BibTeX XML Cite \textit{S. İlhan}, Hacet. J. Math. Stat. 39, No. 3, 411--415 (2010; Zbl 1216.20052) OpenURL
Chan, Heng Huat; Cooper, Shaun; Sica, Francesco Congruences satisfied by Apéry-like numbers. (English) Zbl 1303.11009 Int. J. Number Theory 6, No. 1, 89-97 (2010). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B83 11F11 11F03 11F33 PDF BibTeX XML Cite \textit{H. H. Chan} et al., Int. J. Number Theory 6, No. 1, 89--97 (2010; Zbl 1303.11009) Full Text: DOI OpenURL
Chan, Heng Huat; Zudilin, Wadim New representations for Apéry-like sequences. (English) Zbl 1275.11035 Mathematika 56, No. 1, 107-117 (2010). Reviewer: Enzo Bonacci (Latina) MSC: 11B65 11F11 11F20 33C20 PDF BibTeX XML Cite \textit{H. H. Chan} and \textit{W. Zudilin}, Mathematika 56, No. 1, 107--117 (2010; Zbl 1275.11035) Full Text: DOI OpenURL
Ramírez Alfonsín, Jorge L.; Rødseth, Øystein J. Numerical semigroups: Apéry sets and Hilbert series. (English) Zbl 1200.20047 Semigroup Forum 79, No. 2, 323-340 (2009). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 20M13 11D07 20M14 11D04 PDF BibTeX XML Cite \textit{J. L. Ramírez Alfonsín} and \textit{Ø. J. Rødseth}, Semigroup Forum 79, No. 2, 323--340 (2009; Zbl 1200.20047) Full Text: DOI OpenURL
Chan, Heng Huat; Verrill, Helena The Apéry numbers, the Almkvist-Zudilin numbers and new series for \(1/\pi\). (English) Zbl 1193.11038 Math. Res. Lett. 16, No. 2-3, 405-420 (2009). Reviewer: Jeremy Lovejoy (Paris) MSC: 11F11 11F20 11Y60 11F03 05A10 PDF BibTeX XML Cite \textit{H. H. Chan} and \textit{H. Verrill}, Math. Res. Lett. 16, No. 2--3, 405--420 (2009; Zbl 1193.11038) Full Text: DOI OpenURL
Chu, Wenchang; Zheng, Deyin Infinite series with harmonic numbers and central binomial coefficients. (English) Zbl 1191.05014 Int. J. Number Theory 5, No. 3, 429-448 (2009). MSC: 05A19 11B65 33C05 PDF BibTeX XML Cite \textit{W. Chu} and \textit{D. Zheng}, Int. J. Number Theory 5, No. 3, 429--448 (2009; Zbl 1191.05014) Full Text: DOI OpenURL
Leher, Eli On the Frobenius problem of numerical semigroups. (English) Zbl 1202.20064 Commun. Algebra 37, No. 2, 639-649 (2009). MSC: 20M14 11D45 PDF BibTeX XML Cite \textit{E. Leher}, Commun. Algebra 37, No. 2, 639--649 (2009; Zbl 1202.20064) Full Text: DOI OpenURL
Leher, Eli Bounds for the genus of numerical semigroups. (English) Zbl 1204.20079 Int. J. Number Theory 4, No. 5, 827-834 (2008). MSC: 20M14 11D07 PDF BibTeX XML Cite \textit{E. Leher}, Int. J. Number Theory 4, No. 5, 827--834 (2008; Zbl 1204.20079) Full Text: DOI OpenURL
Luca, Florian; Shparlinski, Igor E. Arithmetic properties of Apéry numbers. (English) Zbl 1222.11040 J. Lond. Math. Soc., II. Ser. 78, No. 3, 545-562 (2008). Reviewer: Herman J. Tiersma (Den Haag) MSC: 11B83 11B37 11B65 11D45 PDF BibTeX XML Cite \textit{F. Luca} and \textit{I. E. Shparlinski}, J. Lond. Math. Soc., II. Ser. 78, No. 3, 545--562 (2008; Zbl 1222.11040) Full Text: DOI OpenURL
Rosales, J. C. Contractions of a numerical semigroup. (English) Zbl 1142.20041 J. Math. Inequal. 1, No. 4, 491-501 (2007). MSC: 20M14 20M05 11D75 PDF BibTeX XML Cite \textit{J. C. Rosales}, J. Math. Inequal. 1, No. 4, 491--501 (2007; Zbl 1142.20041) Full Text: DOI OpenURL
Zudilin, V. V. Quadratic transformations and Guillera’s formulas for \(1/\pi^2\). (English. Russian original) Zbl 1144.33002 Math. Notes 81, No. 3, 297-301 (2007); translation from Mat. Zametki 81, No. 3, 335-340 (2007). Reviewer: Jaebum Sohn (Seoul) MSC: 33C20 33F05 11Y55 PDF BibTeX XML Cite \textit{V. V. Zudilin}, Math. Notes 81, No. 3, 297--301 (2007; Zbl 1144.33002); translation from Mat. Zametki 81, No. 3, 335--340 (2007) Full Text: DOI arXiv OpenURL
Srivastava, Hari Mohan Leonhard Euler (1707–1783) and the computational aspects of some zeta-function series. (English) Zbl 1171.11048 J. Korean Math. Soc. 44, No. 5, 1163-1184 (2007). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11M06 11M35 33B15 11B68 33E20 PDF BibTeX XML Cite \textit{H. M. Srivastava}, J. Korean Math. Soc. 44, No. 5, 1163--1184 (2007; Zbl 1171.11048) Full Text: DOI OpenURL
Ilhan, Sedat On Apéry sets of symmetric numerical semigroups. (English) Zbl 1145.20322 Int. Math. Forum 1, No. 9-12, 481-484 (2006). MSC: 20M14 20M05 PDF BibTeX XML Cite \textit{S. Ilhan}, Int. Math. Forum 1, No. 9--12, 481--484 (2006; Zbl 1145.20322) Full Text: DOI OpenURL
Janous, Walther Around Apéry’s constant. (English) Zbl 1182.11056 JIPAM, J. Inequal. Pure Appl. Math. 7, No. 1, Paper No. 35, 8 p. (2006). MSC: 11Y60 PDF BibTeX XML Cite \textit{W. Janous}, JIPAM, J. Inequal. Pure Appl. Math. 7, No. 1, Paper No. 35, 8 p. (2006; Zbl 1182.11056) Full Text: EuDML EMIS OpenURL
Guillera, Jesús A class of conjectured series representations for \(1/\pi\). (English) Zbl 1163.11031 Exp. Math. 15, No. 4, 409-414 (2006). Reviewer: Roland Girgensohn (München) MSC: 11F03 11Y55 11B83 11F27 PDF BibTeX XML Cite \textit{J. Guillera}, Exp. Math. 15, No. 4, 409--414 (2006; Zbl 1163.11031) Full Text: DOI Euclid EuDML OpenURL
Garaev, Moubariz Z.; Luca, Florian; Shparlinski, Igor E. Catalan and Apéry numbers in residue classes. (English) Zbl 1101.11010 J. Comb. Theory, Ser. A 113, No. 5, 851-865 (2006). Reviewer: Tom M. Apostol (Pasadena) MSC: 11B65 11A07 11B75 05A10 PDF BibTeX XML Cite \textit{M. Z. Garaev} et al., J. Comb. Theory, Ser. A 113, No. 5, 851--865 (2006; Zbl 1101.11010) Full Text: DOI OpenURL
Alzer, Horst; Karayannakis, Dimitri; Srivastava, H. M. Series representations for some mathematical constants. (English) Zbl 1093.33010 J. Math. Anal. Appl. 320, No. 1, 145-162 (2006). Reviewer: H. S. P. Shrivastava (Ratlam) MSC: 33D99 33E20 26A33 PDF BibTeX XML Cite \textit{H. Alzer} et al., J. Math. Anal. Appl. 320, No. 1, 145--162 (2006; Zbl 1093.33010) Full Text: DOI OpenURL
Rosales, J. C.; García-Sánchez, P. A.; Urbano-Blanco, J. M. Modular Diophantine inequalities and numerical semigroups. (English) Zbl 1184.20052 Pac. J. Math. 218, No. 2, 379-398 (2005); Correction 220, No. 1, 199 (2005). MSC: 20M14 11D75 11D07 20M05 PDF BibTeX XML Cite \textit{J. C. Rosales} et al., Pac. J. Math. 218, No. 2, 379--398 (2005; Zbl 1184.20052) Full Text: DOI OpenURL
Rosales, J. C. Modular Diophantine inequalities and some of their invariants. (English) Zbl 1094.20037 Indian J. Pure Appl. Math. 36, No. 8, 417-429 (2005). Reviewer: Robert F. Tichy (Graz) MSC: 20M14 11D75 20M05 PDF BibTeX XML Cite \textit{J. C. Rosales}, Indian J. Pure Appl. Math. 36, No. 8, 417--429 (2005; Zbl 1094.20037) OpenURL
Rosales, J. C.; García-Sánchez, P. A.; García-García, J. I.; Branco, M. B. Numerical semigroups with a monotonic Apéry set. (English) Zbl 1081.20071 Czech. Math. J. 55, No. 3, 755-772 (2005). MSC: 20M14 20M05 11D75 PDF BibTeX XML Cite \textit{J. C. Rosales} et al., Czech. Math. J. 55, No. 3, 755--772 (2005; Zbl 1081.20071) Full Text: DOI EuDML OpenURL
Zudilin, W. On the inverse Legendre transform of a certain family of sequences. (English. Russian original) Zbl 1216.11027 Math. Notes 76, No. 2, 276-279 (2004); translation from Mat. Zametki 76, No. 2, 300-303 (2004). Reviewer: Olaf Ninnemann (Berlin) MSC: 11B65 33C45 PDF BibTeX XML Cite \textit{W. Zudilin}, Math. Notes 76, No. 2, 276--279 (2004; Zbl 1216.11027); translation from Mat. Zametki 76, No. 2, 300--303 (2004) Full Text: DOI OpenURL
Ahlgren, Scott Gaussian hypergeometric series and combinatorial congruences. (English) Zbl 1037.33016 Garvan, Frank G. (ed.) et al., Symbolic computation, number theory, special functions, physics and combinatorics. Proceedings of the conference, Gainesville, FL, USA, November 11–13, 1999. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-0101-0/hbk). Dev. Math. 4, 1-12 (2001). MSC: 33E50 11A07 11S80 33C20 PDF BibTeX XML Cite \textit{S. Ahlgren}, Dev. Math. 4, 1--12 (2001; Zbl 1037.33016) OpenURL
Ahlgren, Scott; Ono, Ken A Gaussian hypergeometric series evaluation and Apéry number congruences. (English) Zbl 0940.33002 J. Reine Angew. Math. 518, 187-212 (2000). Reviewer: H.H.Chan (Singapore) MSC: 33C20 11A07 33E50 PDF BibTeX XML Cite \textit{S. Ahlgren} and \textit{K. Ono}, J. Reine Angew. Math. 518, 187--212 (2000; Zbl 0940.33002) Full Text: DOI Link OpenURL
Ono, Ken Values of Gaussian hypergeometric series. (English) Zbl 0910.11054 Trans. Am. Math. Soc. 350, No. 3, 1205-1223 (1998). MSC: 11T24 33C20 11G05 14H52 11L05 11L10 PDF BibTeX XML Cite \textit{K. Ono}, Trans. Am. Math. Soc. 350, No. 3, 1205--1223 (1998; Zbl 0910.11054) Full Text: DOI OpenURL
Allouche, Jean-Paul A remark on Apéry’s numbers. (English) Zbl 0911.11003 J. Comput. Appl. Math. 83, No. 1, 123-125 (1997). MSC: 11A07 11B65 05A10 PDF BibTeX XML Cite \textit{J.-P. Allouche}, J. Comput. Appl. Math. 83, No. 1, 123--125 (1997; Zbl 0911.11003) Full Text: DOI OpenURL
Prévost, M. A new proof of the irrationality of \(\zeta (2)\) and \(\zeta (3)\) using Padé approximants. (English) Zbl 0855.11037 J. Comput. Appl. Math. 67, No. 2, 219-235 (1996). Reviewer: A.J.van der Poorten (North Ryde) MSC: 11J82 11M06 PDF BibTeX XML Cite \textit{M. Prévost}, J. Comput. Appl. Math. 67, No. 2, 219--235 (1996; Zbl 0855.11037) Full Text: DOI OpenURL
Yeung, Kit Ming On congruence for Apéry numbers. (English) Zbl 0844.11018 Southeast Asian Bull. Math. 20, No. 1, 103-110 (1996). Reviewer: József Sándor (Jud.Harghita) MSC: 11B65 11B75 PDF BibTeX XML Cite \textit{K. M. Yeung}, Southeast Asian Bull. Math. 20, No. 1, 103--110 (1996; Zbl 0844.11018) OpenURL
Radoux, Christian Some arithmetical properties of Apéry numbers. (English) Zbl 0859.11004 J. Comput. Appl. Math. 64, No. 1-2, 11-19 (1995). Reviewer: József Sándor (Jud.Harghita) MSC: 11A07 11B83 11B65 PDF BibTeX XML Cite \textit{C. Radoux}, J. Comput. Appl. Math. 64, No. 1--2, 11--19 (1995; Zbl 0859.11004) Full Text: DOI OpenURL
Young, Paul Thomas Apéry numbers, Jacobi sums, and special values of generalized \(p\)-adic hypergeometric functions. (English) Zbl 0759.11042 J. Number Theory 41, No. 2, 231-255 (1992). Reviewer: F.Beukers (Utrecht) MSC: 11S80 33C20 12H25 11S40 PDF BibTeX XML Cite \textit{P. T. Young}, J. Number Theory 41, No. 2, 231--255 (1992; Zbl 0759.11042) Full Text: DOI OpenURL
Strehl, Volker Recurrences and Legendre transform. (English) Zbl 0903.11008 Sémin. Lothar. Comb. 29, B29b, 22 p. (1992). MSC: 11B83 11B37 05A19 11B65 PDF BibTeX XML Cite \textit{V. Strehl}, Sémin. Lothar. Comb. 29, B29b, 22 p. (1992; Zbl 0903.11008) Full Text: EuDML EMIS OpenURL
André-Jeannin, Richard Sequences of integers satisfying recurrence relations. (English) Zbl 0734.11011 Fibonacci Q. 29, No. 3, 205-208 (1991). Reviewer: P.Kiss (Eger) MSC: 11B37 PDF BibTeX XML Cite \textit{R. André-Jeannin}, Fibonacci Q. 29, No. 3, 205--208 (1991; Zbl 0734.11011) OpenURL
Coster, Matthijs J. Supercongruences. (English) Zbl 0715.11071 P-adic analysis, Proc. Int. Conf., Trento/Italy 1989, Lect. Notes Math. 1454, 194-204 (1990). Reviewer: L. van Hamme MSC: 11S31 11B65 PDF BibTeX XML OpenURL
Ishikawa, Tsuneo Super congruence for the Apéry numbers. (English) Zbl 0703.11001 Nagoya Math. J. 118, 195-202 (1990). Reviewer: F.Beukers MSC: 11A07 PDF BibTeX XML Cite \textit{T. Ishikawa}, Nagoya Math. J. 118, 195--202 (1990; Zbl 0703.11001) Full Text: DOI OpenURL
Beukers, F. Another congruence for the Apéry numbers. (English) Zbl 0614.10011 J. Number Theory 25, 201-210 (1987). Reviewer: A.J.van der Poorten MSC: 11B37 11F33 11A07 14J30 11F11 PDF BibTeX XML Cite \textit{F. Beukers}, J. Number Theory 25, 201--210 (1987; Zbl 0614.10011) Full Text: DOI OpenURL
Van Hamme, L. Proof of a conjecture of Beukers on Apéry numbers. (English) Zbl 0634.10004 p-adic analysis, Proc. Conf., Houthalen/Belg. 1986, 189-195 (1986). Reviewer: Frits Beukers (Utrecht) MSC: 11A07 11B65 PDF BibTeX XML OpenURL
Beukers, F. Some congruences for the Apéry numbers. (English) Zbl 0571.10008 J. Number Theory 21, 141-155 (1985). MSC: 11B37 11A07 PDF BibTeX XML Cite \textit{F. Beukers}, J. Number Theory 21, 141--155 (1985; Zbl 0571.10008) Full Text: DOI OpenURL
Stienstra, Jan; Beukers, Frits On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces. (English) Zbl 0539.14006 Math. Ann. 271, 269-304 (1985). Reviewer: Frits Beukers MSC: 14D05 14L05 14J25 14F30 14G10 11G35 PDF BibTeX XML Cite \textit{J. Stienstra} and \textit{F. Beukers}, Math. Ann. 271, 269--304 (1985; Zbl 0539.14006) Full Text: DOI EuDML OpenURL
Radoux, C. Proof of a conjecture of Chowla-Cowles on Apéry numbers. (English) Zbl 0563.10010 Simon Stevin 58, 31-33 (1984). Reviewer: O.Ninnemann MSC: 11B37 11A07 PDF BibTeX XML Cite \textit{C. Radoux}, Simon Stevin 58, 31--33 (1984; Zbl 0563.10010) OpenURL
Beukers, F. The values of polylogarithms. (English) Zbl 0545.10022 Topics in classical number theory, Colloq. Budapest 1981, Vol. I, Colloq. Math. Soc. János Bolyai 34, 219-228 (1984). MSC: 11J81 41A21 14H52 PDF BibTeX XML OpenURL
Chang, Derek K. A note on Apéry numbers. (English) Zbl 0535.10009 Fibonacci Q. 22, 178-180 (1984). Reviewer: F.Beukers MSC: 11B37 PDF BibTeX XML Cite \textit{D. K. Chang}, Fibonacci Q. 22, 178--180 (1984; Zbl 0535.10009) OpenURL
Lou, Shituo; Yao, Qi Conjecture of Chowla-Cowles on Apery numbers. (English) Zbl 0529.10013 Kexue Tongbao, Foreign Lang. Ed. 28, 1449-1452 (1983). MSC: 11B37 11A07 PDF BibTeX XML Cite \textit{S. Lou} and \textit{Q. Yao}, Kexue Tongbao, Sci. Bull. 28, 1449--1452 (1983; Zbl 0529.10013) OpenURL
Yao, Qi On Chowla’s conjecture. (Chinese) Zbl 0529.10012 J. Math. Res. Expo. 1983, No. 2, 64 (1983). MSC: 11B37 11A07 PDF BibTeX XML Cite \textit{Q. Yao}, J. Math. Res. Expo. 1983, No. 2, 64 (1983; Zbl 0529.10012) OpenURL
Mimura, Yoshio Congruence properties of Apery numbers. (English) Zbl 0504.10007 J. Number Theory 16, 138-146 (1983). MSC: 11B37 11A07 11B39 PDF BibTeX XML Cite \textit{Y. Mimura}, J. Number Theory 16, 138--146 (1983; Zbl 0504.10007) Full Text: DOI OpenURL
Gessel, Ira Some congruences for Apery numbers. (English) Zbl 0482.10003 J. Number Theory 14, 362-368 (1982). MSC: 11A07 11B37 PDF BibTeX XML Cite \textit{I. Gessel}, J. Number Theory 14, 362--368 (1982; Zbl 0482.10003) Full Text: DOI OpenURL
Rieger, G. J. Einige Rekursionsformeln für Summen mit Binomialkoeffizienten. (German) Zbl 0483.10009 Abh. Braunschw. Wiss. Ges. 31, 137-141 (1980). MSC: 11B37 11B39 PDF BibTeX XML Cite \textit{G. J. Rieger}, Abh. Braunschw. Wiss. Ges. 31, 137--141 (1980; Zbl 0483.10009) OpenURL
Radoux, Christian Quelques propriétés arithmétiques des nombres d’Apery. (French) Zbl 0445.10013 C. R. Acad. Sci., Paris, Sér. A 291, 567-569 (1980). MSC: 11B39 11A07 PDF BibTeX XML Cite \textit{C. Radoux}, C. R. Acad. Sci., Paris, Sér. A 291, 567--569 (1980; Zbl 0445.10013) OpenURL