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
Jafari, Raheleh; Yaghmaei, Marjan Type and conductor of simplicial affine semigroups. (English) Zbl 1475.13048 J. Pure Appl. Algebra 226, No. 3, Article ID 106844, 19 p. (2022). Reviewer: Daniel Marín Aragon (Cádiz) MSC: 13H10 20M25 05E40 PDF BibTeX XML Cite \textit{R. Jafari} and \textit{M. Yaghmaei}, J. Pure Appl. Algebra 226, No. 3, Article ID 106844, 19 p. (2022; Zbl 1475.13048) Full Text: DOI arXiv OpenURL
Guerrieri, L.; Maugeri, N.; Micale, V. Partition of the complement of good semigroup ideals and Apéry sets. (English) Zbl 07431248 Commun. Algebra 49, No. 10, 4136-4158 (2021). MSC: 13H10 20M10 20M14 20M25 PDF BibTeX XML Cite \textit{L. Guerrieri} et al., Commun. Algebra 49, No. 10, 4136--4158 (2021; Zbl 07431248) Full Text: DOI arXiv OpenURL
Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath Numerical semigroups generated by concatenation of arithmetic sequences. (English) Zbl 07411999 J. Algebra Appl. 20, No. 9, Article ID 2150162, 26 p. (2021). MSC: 13F70 13F65 PDF BibTeX XML Cite \textit{R. Mehta} et al., J. Algebra Appl. 20, No. 9, Article ID 2150162, 26 p. (2021; Zbl 07411999) Full Text: DOI arXiv 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
Uhl, Michael Recurrence equation and integral representation of Apéry sums. (English) Zbl 1479.11143 Eur. J. Math. 7, No. 2, 793-806 (2021). MSC: 11M06 11J86 11G55 11B65 PDF BibTeX XML Cite \textit{M. Uhl}, Eur. J. Math. 7, No. 2, 793--806 (2021; Zbl 1479.11143) Full Text: DOI OpenURL
Eliahou, Shalom; Marín-Aragón, Daniel On numerical semigroups with at most 12 left elements. (English) Zbl 07358282 Commun. Algebra 49, No. 6, 2402-2422 (2021). MSC: 20M14 11B75 05A99 PDF BibTeX XML Cite \textit{S. Eliahou} and \textit{D. Marín-Aragón}, Commun. Algebra 49, No. 6, 2402--2422 (2021; Zbl 07358282) Full Text: DOI arXiv OpenURL
Akhilesh, P. Multiple zeta values and multiple Apéry-like sums. (English) Zbl 1479.11147 J. Number Theory 226, 72-138 (2021). MSC: 11M32 PDF BibTeX XML Cite \textit{P. Akhilesh}, J. Number Theory 226, 72--138 (2021; Zbl 1479.11147) Full Text: DOI arXiv OpenURL
Chu, Wenchang Infinite series identities derived from the very well-poised \(\Omega\)-sum. (English) Zbl 1466.33004 Ramanujan J. 55, No. 1, 239-270 (2021). MSC: 33C20 65B10 PDF BibTeX XML Cite \textit{W. Chu}, Ramanujan J. 55, No. 1, 239--270 (2021; Zbl 1466.33004) Full Text: DOI OpenURL
Mahboubi, Assia; Sibut-Pinote, Thomas A formal proof of the irrationality of \(\zeta(3)\). (English) Zbl 07327949 Log. Methods Comput. Sci. 17, No. 1, Paper No. 16, 25 p. (2021). MSC: 03B70 68-XX PDF BibTeX XML Cite \textit{A. Mahboubi} and \textit{T. Sibut-Pinote}, Log. Methods Comput. Sci. 17, No. 1, Paper No. 16, 25 p. (2021; Zbl 07327949) Full Text: arXiv Link OpenURL
Elizeche, Edgar Federico; Tripathi, Amitabha Some results on fundamental gaps in numerical semigroups. (English) Zbl 1473.20066 J. Integer Seq. 24, No. 2, Article 21.2.3, 13 p. (2021). Reviewer: Pedro A. García Sánchez (Granada) MSC: 20M14 20M13 PDF BibTeX XML Cite \textit{E. F. Elizeche} and \textit{A. Tripathi}, J. Integer Seq. 24, No. 2, Article 21.2.3, 13 p. (2021; Zbl 1473.20066) Full Text: Link OpenURL
Wang, Weiping; Xu, Ce Alternating multiple zeta values, and explicit formulas of some Euler-Apéry-type series. (English) Zbl 1475.11149 Eur. J. Comb. 93, Article ID 103283, 26 p. (2021). MSC: 11M32 05A10 PDF BibTeX XML Cite \textit{W. Wang} and \textit{C. Xu}, Eur. J. Comb. 93, Article ID 103283, 26 p. (2021; Zbl 1475.11149) Full Text: DOI arXiv 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
Mirzoev, K. A.; Safonova, T. A. Representations of \(\zeta (2n + 1)\) and related numbers in the form of definite integrals and rapidly convergent series. (English. Russian original) Zbl 07424649 Dokl. Math. 102, No. 2, 396-400 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 48-52 (2020). MSC: 33-XX 11-XX PDF BibTeX XML Cite \textit{K. A. Mirzoev} and \textit{T. A. Safonova}, Dokl. Math. 102, No. 2, 396--400 (2020; Zbl 07424649); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 494, 48--52 (2020) 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
Centurión Fajardo, Alicia María; Céspedes Trujillo, Nancy; Moreno Roque, Eduardo Apéry type recurrence relations. (Spanish. English summary) Zbl 1456.11017 Lect. Mat. 41, No. 2, 127-132 (2020). MSC: 11B37 33F10 11J72 11Y40 PDF BibTeX XML Cite \textit{A. M. Centurión Fajardo} et al., Lect. Mat. 41, No. 2, 127--132 (2020; Zbl 1456.11017) Full Text: Link OpenURL
Ojeda, I.; Rosales, J. C. The arithmetic extensions of a numerical semigroup. (English) Zbl 07271652 Commun. Algebra 48, No. 9, 3707-3715 (2020). MSC: 20M14 11D07 PDF BibTeX XML Cite \textit{I. Ojeda} and \textit{J. C. Rosales}, Commun. Algebra 48, No. 9, 3707--3715 (2020; Zbl 07271652) 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
Mirzoev, K. A.; Safonova, T. A. Integral representation of sums of series associated with special functions. (English. Russian original) Zbl 1451.00062 Math. Notes 108, No. 4, 617-622 (2020); translation from Mat. Zametki 108, No. 4, 632-637 (2020). MSC: 00A22 PDF BibTeX XML Cite \textit{K. A. Mirzoev} and \textit{T. A. Safonova}, Math. Notes 108, No. 4, 617--622 (2020; Zbl 1451.00062); translation from Mat. Zametki 108, No. 4, 632--637 (2020) Full Text: DOI 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
D’Anna, Marco; Guerrieri, Lorenzo; Micale, Vincenzo The Apéry set of a good semigroup. (English) Zbl 1440.14151 Facchini, Alberto (ed.) et al., Advances in rings, modules and factorizations. Selected papers based on the presentations at the international conference on rings and factorizations, Graz, Austria, February 19–23, 2018. Cham: Springer. Springer Proc. Math. Stat. 321, 79-104 (2020). MSC: 14H20 20M14 PDF BibTeX XML Cite \textit{M. D'Anna} et al., Springer Proc. Math. Stat. 321, 79--104 (2020; Zbl 1440.14151) Full Text: DOI arXiv OpenURL
Miró-Roig, Rosa M.; Tran, Quang Hoa The weak Lefschetz property of Gorenstein algebras of codimension three associated to the Apéry sets. (English) Zbl 1453.13059 Linear Algebra Appl. 604, 346-369 (2020). Reviewer: Juan C. Migliore (Notre Dame) MSC: 13E10 13H10 13A30 13C40 PDF BibTeX XML Cite \textit{R. M. Miró-Roig} and \textit{Q. H. Tran}, Linear Algebra Appl. 604, 346--369 (2020; Zbl 1453.13059) Full Text: DOI arXiv OpenURL
Song, Kyunghwan The Frobenius problem for numerical semigroups generated by the Thabit numbers of the first, second kind base \(b\) and the Cunningham numbers. (English) Zbl 1459.11081 Bull. Korean Math. Soc. 57, No. 3, 623-647 (2020). MSC: 11D07 11A67 20M14 PDF BibTeX XML Cite \textit{K. Song}, Bull. Korean Math. Soc. 57, No. 3, 623--647 (2020; Zbl 1459.11081) Full Text: DOI 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
Huang, I-Chiau; Kim, Mee-Kyoung Numerical semigroup algebras. (English) Zbl 1439.13065 Commun. Algebra 48, No. 3, 1079-1088 (2020). Reviewer: Pedro A. García Sánchez (Granada) MSC: 13H10 14H20 20M14 20M25 PDF BibTeX XML Cite \textit{I-C. Huang} and \textit{M.-K. Kim}, Commun. Algebra 48, No. 3, 1079--1088 (2020; Zbl 1439.13065) Full Text: DOI 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
Miró-Roig, Rosa M.; Tran, Quang Hoa The weak Lefschetz property for Artinian Gorenstein algebras of codimension three. (English) Zbl 1437.13028 J. Pure Appl. Algebra 224, No. 7, Article ID 106305, 29 p. (2020). Reviewer: Siamak Yassemi (Tehran) MSC: 13E10 13H10 13A30 13C40 PDF BibTeX XML Cite \textit{R. M. Miró-Roig} and \textit{Q. H. Tran}, J. Pure Appl. Algebra 224, No. 7, Article ID 106305, 29 p. (2020; Zbl 1437.13028) Full Text: DOI arXiv OpenURL
García-García, J. I.; Ojeda, I.; Rosales, J. C.; Vigneron-Tenorio, A. On pseudo-Frobenius elements of submonoids of \(\mathbb{N}^d\). (English) Zbl 1442.20038 Collect. Math. 71, No. 1, 189-204 (2020). Reviewer: Daniel Marín Aragon (Cádiz) MSC: 20M14 13D02 PDF BibTeX XML Cite \textit{J. I. García-García} et al., Collect. Math. 71, No. 1, 189--204 (2020; Zbl 1442.20038) Full Text: DOI arXiv OpenURL
D’Anna, Marco; Guerrieri, Lorenzo; Micale, Vincenzo The type of a good semigroup and the almost symmetric condition. (English) Zbl 1436.13006 Mediterr. J. Math. 17, No. 1, Paper No. 28, 23 p. (2020). Reviewer: Karl-Heinz Kiyek (Paderborn) MSC: 13A18 14H20 20M25 PDF BibTeX XML Cite \textit{M. D'Anna} et al., Mediterr. J. Math. 17, No. 1, Paper No. 28, 23 p. (2020; Zbl 1436.13006) Full Text: DOI OpenURL
Elaissaoui, Lahoucine; El-Abidine Guennoun, Zine Log-tangent integrals and the Riemann zeta function. (English) Zbl 1469.11285 Math. Model. Anal. 24, No. 3, 404-421 (2019). MSC: 11M06 11M35 11L03 PDF BibTeX XML Cite \textit{L. Elaissaoui} and \textit{Z. El-Abidine Guennoun}, Math. Model. Anal. 24, No. 3, 404--421 (2019; Zbl 1469.11285) Full Text: DOI OpenURL
Galkin, Sergey; Iritani, Hiroshi Gamma conjecture via mirror symmetry. (English) Zbl 1452.53073 Hori, Kentaro (ed.) et al., Primitive forms and related subjects – Kavli IPMU 2014. Proceedings of the international conference, University of Tokyo, Tokyo, Japan, February 10–14, 2014. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 83, 55-115 (2019). MSC: 53D37 14N35 14J45 14J33 11G42 PDF BibTeX XML Cite \textit{S. Galkin} and \textit{H. Iritani}, Adv. Stud. Pure Math. 83, 55--115 (2019; Zbl 1452.53073) Full Text: DOI arXiv Euclid 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
Gu, Ze Compositions of a numerical semigroup. (English. Russian original) Zbl 07126350 Discrete Math. Appl. 29, No. 5, 345-350 (2019); translation from Diskretn. Mat. 31, No. 2, 77-83 (2019). MSC: 20-XX 05-XX PDF BibTeX XML Cite \textit{Z. Gu}, Discrete Math. Appl. 29, No. 5, 345--350 (2019; Zbl 07126350); translation from Diskretn. Mat. 31, No. 2, 77--83 (2019) 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
Gomez, Alexis; McCarthy, Dermot; Young, Dylan Apéry-like numbers and families of newforms with complex multiplication. (English) Zbl 1456.11053 Res. Number Theory 5, No. 1, Paper No. 5, 12 p. (2019). MSC: 11F11 11B83 11A07 PDF BibTeX XML Cite \textit{A. Gomez} et al., Res. Number Theory 5, No. 1, Paper No. 5, 12 p. (2019; Zbl 1456.11053) Full Text: DOI arXiv OpenURL
Herzog, Jürgen; Stamate, Dumitru I. Cohen-Macaulay criteria for projective monomial curves via Gröbner bases. (English) Zbl 1433.13023 Acta Math. Vietnam. 44, No. 1, 51-64 (2019). Reviewer: Eduardo Saenz-de-Cabezon (Logroño) MSC: 13H10 13P10 13D02 20M14 20M25 14M05 13F20 13F55 PDF BibTeX XML Cite \textit{J. Herzog} and \textit{D. I. Stamate}, Acta Math. Vietnam. 44, No. 1, 51--64 (2019; Zbl 1433.13023) Full Text: DOI arXiv OpenURL
Lupu, Cezar; Orr, Derek Series representations for the Apéry constant \(\zeta (3)\) involving the values \(\zeta (2n)\). (English) Zbl 1454.11228 Ramanujan J. 48, No. 3, 477-494 (2019). Reviewer: Vlad Alexandru Matei (Tel Aviv) MSC: 11Y60 11M06 41A58 33E05 40B99 41A60 PDF BibTeX XML Cite \textit{C. Lupu} and \textit{D. Orr}, Ramanujan J. 48, No. 3, 477--494 (2019; Zbl 1454.11228) Full Text: DOI 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
Da Silva, Genival jun. On the arithmetic of Landau-Ginzburg model of a certain class of threefolds. (English) Zbl 1411.14063 Commun. Number Theory Phys. 13, No. 1, 149-163 (2019). MSC: 14N35 14M25 14J30 14J45 PDF BibTeX XML Cite \textit{G. Da Silva jun.}, Commun. Number Theory Phys. 13, No. 1, 149--163 (2019; Zbl 1411.14063) Full Text: DOI arXiv 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
Eliahou, Shalom; Fromentin, Jean Near-misses in Wilf’s conjecture. (English) Zbl 1467.20070 Semigroup Forum 98, No. 2, 285-298 (2019). MSC: 20M14 11B75 PDF BibTeX XML Cite \textit{S. Eliahou} and \textit{J. Fromentin}, Semigroup Forum 98, No. 2, 285--298 (2019; Zbl 1467.20070) Full Text: DOI arXiv OpenURL
Huang, I-Chiau; Jafari, Raheleh Factorizations in numerical semigroup algebras. (English) Zbl 1406.13030 J. Pure Appl. Algebra 223, No. 5, 2258-2272 (2019). Reviewer: Amir Mafi (Sanandaj and Tehran) MSC: 13H10 14H20 20M25 PDF BibTeX XML Cite \textit{I-C. Huang} and \textit{R. Jafari}, J. Pure Appl. Algebra 223, No. 5, 2258--2272 (2019; Zbl 1406.13030) 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
Chu, Wenchang; Esposito, Flavia Lucia Evaluation of Apéry-like series through multisection method. (English) Zbl 1424.11175 J. Class. Anal. 12, No. 2, 55-81 (2018). MSC: 11Y60 14G10 PDF BibTeX XML Cite \textit{W. Chu} and \textit{F. L. Esposito}, J. Class. Anal. 12, No. 2, 55--81 (2018; Zbl 1424.11175) Full Text: DOI OpenURL
Chu, Wenchang; Esposito, Flavia Lucia Multisection method for Apéry-like series. (English) Zbl 1407.11146 Online J. Anal. Comb. 13, Article 7, 35 p. (2018). MSC: 11Y60 14G10 PDF BibTeX XML Cite \textit{W. Chu} and \textit{F. L. Esposito}, Online J. Anal. Comb. 13, Article 7, 35 p. (2018; Zbl 1407.11146) Full Text: Link 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
Sun, Zhi-Hong Super congruences for two Apéry-like sequences. (English) Zbl 1446.11007 J. Difference Equ. Appl. 24, No. 10, 1685-1713 (2018). MSC: 11A07 05A10 05A19 11B50 11E25 33C45 65Q30 PDF BibTeX XML Cite \textit{Z.-H. Sun}, J. Difference Equ. Appl. 24, No. 10, 1685--1713 (2018; Zbl 1446.11007) Full Text: DOI OpenURL
Eliahou, Shalom Wilf’s conjecture and Macaulay’s theorem. (English) Zbl 1436.20114 J. Eur. Math. Soc. (JEMS) 20, No. 9, 2105-2129 (2018). Reviewer: Daniel Marín Aragon (Cádiz) MSC: 20M14 05A20 05A10 11B75 13A02 PDF BibTeX XML Cite \textit{S. Eliahou}, J. Eur. Math. Soc. (JEMS) 20, No. 9, 2105--2129 (2018; Zbl 1436.20114) Full Text: DOI arXiv OpenURL
Liu, Ji-Cai A generalized supercongruence of Kimoto and Wakayama. (English) Zbl 1406.11006 J. Math. Anal. Appl. 467, No. 1, 15-25 (2018). MSC: 11A07 11M36 05A15 PDF BibTeX XML Cite \textit{J.-C. Liu}, J. Math. Anal. Appl. 467, No. 1, 15--25 (2018; Zbl 1406.11006) Full Text: DOI OpenURL
Farrán, José I.; García-Sánchez, Pedro A.; Heredia, Benjamín A.; Leamer, Micah J. The second Feng-Rao number for codes coming from telescopic semigroups. (English) Zbl 1402.94117 Des. Codes Cryptography 86, No. 8, 1849-1864 (2018). MSC: 94B27 20M14 PDF BibTeX XML Cite \textit{J. I. Farrán} et al., Des. Codes Cryptography 86, No. 8, 1849--1864 (2018; Zbl 1402.94117) Full Text: DOI arXiv OpenURL
García-Marco, Ignacio; Knauer, Kolja Chomp on numerical semigroups. (English) Zbl 1394.91066 Algebr. Comb. 1, No. 3, 371-394 (2018). MSC: 91A46 06A07 20M14 PDF BibTeX XML Cite \textit{I. García-Marco} and \textit{K. Knauer}, Algebr. Comb. 1, No. 3, 371--394 (2018; Zbl 1394.91066) Full Text: DOI arXiv OpenURL
Bücher, Axel; Segers, Johan Inference for heavy tailed stationary time series based on sliding blocks. (English) Zbl 1473.62303 Electron. J. Stat. 12, No. 1, 1098-1125 (2018). MSC: 62M10 62G32 62P05 91B84 PDF BibTeX XML Cite \textit{A. Bücher} and \textit{J. Segers}, Electron. J. Stat. 12, No. 1, 1098--1125 (2018; Zbl 1473.62303) Full Text: DOI arXiv Euclid OpenURL
Karakaş, Halil İbrahim Parametrizing numerical semigroups with multiplicity up to 5. (English) Zbl 06850904 Int. J. Algebra Comput. 28, No. 1, 69-95 (2018). MSC: 20M14 20M30 20M99 11P21 52B10 PDF BibTeX XML Cite \textit{H. İ. Karakaş}, Int. J. Algebra Comput. 28, No. 1, 69--95 (2018; Zbl 06850904) 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
Süer, Meral; İlhan, Sedat On a family of saturated numerical semigroups with multiplicity four. (English) Zbl 1424.20063 Turk. J. Math. 41, No. 1, 132-137 (2017). MSC: 20M14 PDF BibTeX XML Cite \textit{M. Süer} and \textit{S. İlhan}, Turk. J. Math. 41, No. 1, 132--137 (2017; Zbl 1424.20063) Full Text: DOI 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
Oneto, Anna; Tamone, Grazia On semigroup rings with decreasing Hilbert function. (English) Zbl 1407.13023 J. Algebra 489, 373-398 (2017). Reviewer: Carlos Galindo (Castellón) MSC: 13H10 PDF BibTeX XML Cite \textit{A. Oneto} and \textit{G. Tamone}, J. Algebra 489, 373--398 (2017; Zbl 1407.13023) Full Text: DOI arXiv OpenURL
Ojeda, I.; Vigneron-Tenorio, A. The short resolution of a semigroup algebra. (English) Zbl 1373.13015 Bull. Aust. Math. Soc. 96, No. 3, 400-411 (2017). MSC: 13D02 13P10 14M25 68W30 PDF BibTeX XML Cite \textit{I. Ojeda} and \textit{A. Vigneron-Tenorio}, Bull. Aust. Math. Soc. 96, No. 3, 400--411 (2017; Zbl 1373.13015) 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
Thompson, Jeremy; Herzinger, Kurt; Holcomb, Trae Balanced numerical semigroups. (English) Zbl 1422.20035 Semigroup Forum 94, No. 3, 632-649 (2017). MSC: 20M14 20M05 11D07 PDF BibTeX XML Cite \textit{J. Thompson} et al., Semigroup Forum 94, No. 3, 632--649 (2017; Zbl 1422.20035) Full Text: DOI OpenURL
Elaissaoui, Lahoucine; Guennoun, Zine El Abidine Evaluation of log-tangent integrals by series involving \(\zeta(2n+1)\). (English) Zbl 1381.11066 Integral Transforms Spec. Funct. 28, No. 6, 460-475 (2017). Reviewer: Giovanni Coppola (Avellino) MSC: 11M06 26D15 11L03 PDF BibTeX XML Cite \textit{L. Elaissaoui} and \textit{Z. E. A. Guennoun}, Integral Transforms Spec. Funct. 28, No. 6, 460--475 (2017; Zbl 1381.11066) Full Text: DOI arXiv OpenURL
Alkan, Emre Structure of Apéry-like series and monotonicity properties for binomial sums. (English) Zbl 1359.11022 Bull. Korean Math. Soc. 54, No. 1, 225-242 (2017). MSC: 11B65 11J82 05A10 91Axx PDF BibTeX XML Cite \textit{E. Alkan}, Bull. Korean Math. Soc. 54, No. 1, 225--242 (2017; Zbl 1359.11022) Full Text: DOI Link 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
García-Marco, Ignacio; Ramírez Alfonsín, Jorge L.; Rødseth, Øystein J. Numerical semigroups. II: Pseudo-symmetric AA-semigroups. (English) Zbl 1348.05020 J. Algebra 470, 484-498 (2017). MSC: 05A15 13P10 20M14 PDF BibTeX XML Cite \textit{I. García-Marco} et al., J. Algebra 470, 484--498 (2017; Zbl 1348.05020) Full Text: DOI arXiv OpenURL
Brown, Francis Irrationality proofs for zeta values, moduli spaces and dinner parties. (English) Zbl 1370.11103 Mosc. J. Comb. Number Theory 6, No. 2-3, 102-165 (2016). MSC: 11M32 11J82 14H15 32G15 PDF BibTeX XML Cite \textit{F. Brown}, Mosc. J. Comb. Number Theory 6, No. 2--3, 102--165 (2016; Zbl 1370.11103) Full Text: arXiv Link 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
Yan, Qinglun; Liu, Yaqing; Fan, Xiaona Identity on \(q\)-harmonic number related to partial Bell polynomials. (English) Zbl 1352.05032 Util. Math. 100, 193-200 (2016). MSC: 05A19 05A30 11B75 05A10 PDF BibTeX XML Cite \textit{Q. Yan} et al., Util. Math. 100, 193--200 (2016; Zbl 1352.05032) OpenURL
Galkin, Sergey; Golyshev, Vasily; Iritani, Hiroshi Gamma classes and quantum cohomology of Fano manifolds: gamma conjectures. (English) Zbl 1350.14041 Duke Math. J. 165, No. 11, 2005-2077 (2016). Reviewer: Ruifang Song (Mountain View) MSC: 14N35 53D37 11G42 14J45 14J33 14M15 PDF BibTeX XML Cite \textit{S. Galkin} et al., Duke Math. J. 165, No. 11, 2005--2077 (2016; Zbl 1350.14041) Full Text: DOI arXiv Euclid 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
Yan, Qinglun; Fan, Xiaona \(q\)-harmonic sum identities with multi-binomial coefficient. (English) Zbl 1349.05021 Ars Comb. 120, 213-221 (2015). MSC: 05A30 05A19 PDF BibTeX XML Cite \textit{Q. Yan} and \textit{X. Fan}, Ars Comb. 120, 213--221 (2015; Zbl 1349.05021) OpenURL
Robles-Pérez, Aureliano M.; Rosales, José Carlos The Frobenius problem for some numerical semigroups with embedding dimension equal to three. (English) Zbl 1350.11043 Hacet. J. Math. Stat. 44, No. 4, 901-908 (2015). Reviewer: Anton Shutov (Vladimir) MSC: 11D07 20M14 PDF BibTeX XML Cite \textit{A. M. Robles-Pérez} and \textit{J. C. Rosales}, Hacet. J. Math. Stat. 44, No. 4, 901--908 (2015; Zbl 1350.11043) Full Text: DOI Link OpenURL
D’Anna, M.; Di Marca, M.; Micale, V. On the Hilbert function of the tangent cone of a monomial curve. (English) Zbl 1366.13011 Semigroup Forum 91, No. 3, 718-730 (2015). Reviewer: Julio José Moyano Fernández (Castellón de la Plana) MSC: 13D40 20M25 PDF BibTeX XML Cite \textit{M. D'Anna} et al., Semigroup Forum 91, No. 3, 718--730 (2015; Zbl 1366.13011) Full Text: DOI arXiv OpenURL
Márquez-Campos, Guadalupe; Ojeda, Ignacio; Tornero, José M. On the computation of the Apéry set of numerical monoids and affine semigroups. (English) Zbl 1347.13010 Semigroup Forum 91, No. 1, 139-158 (2015). Reviewer: Alessio Sammartano (West Lafayette) MSC: 13P10 20M14 PDF BibTeX XML Cite \textit{G. Márquez-Campos} et al., Semigroup Forum 91, No. 1, 139--158 (2015; Zbl 1347.13010) Full Text: DOI arXiv OpenURL
Bryant, Lance; Hamblin, James Position vectors of numerical semigroups. (English) Zbl 1366.20037 Semigroup Forum 91, No. 1, 28-38 (2015). Reviewer: Francesco Strazzanti (Seville) MSC: 20M14 PDF BibTeX XML Cite \textit{L. Bryant} and \textit{J. Hamblin}, Semigroup Forum 91, No. 1, 28--38 (2015; Zbl 1366.20037) Full Text: DOI arXiv 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
Moscariello, Alessio; Sammartano, Alessio On a conjecture by Wilf about the Frobenius number. (English) Zbl 1369.11023 Math. Z. 280, No. 1-2, 47-53 (2015). MSC: 11D07 11B75 20M14 PDF BibTeX XML Cite \textit{A. Moscariello} and \textit{A. Sammartano}, Math. Z. 280, No. 1--2, 47--53 (2015; Zbl 1369.11023) Full Text: DOI arXiv 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
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 PDF BibTeX XML Cite \textit{A. Straub} and \textit{W. Zudilin}, J. Approx. Theory 195, 57--69 (2015; Zbl 1374.05023) Full Text: DOI arXiv 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
Lorente, Anier Soria Nesterenko-like rational function, useful to prove the Apéry’s theorem. (English) Zbl 1355.11076 Notes Number Theory Discrete Math. 20, No. 2, 79-91 (2014). MSC: 11J72 11M06 11J70 11B37 PDF BibTeX XML Cite \textit{A. S. Lorente}, Notes Number Theory Discrete Math. 20, No. 2, 79--91 (2014; Zbl 1355.11076) Full Text: Link 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
Zhang, Jing; Shi, Huan-Nan Two double inequalities for \(k\)-gamma and \(k\)-Riemann zeta functions. (English) Zbl 1308.33002 J. Inequal. Appl. 2014, Paper No. 191, 8 p. (2014). MSC: 33B15 26D07 26B25 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{H.-N. Shi}, J. Inequal. Appl. 2014, Paper No. 191, 8 p. (2014; Zbl 1308.33002) 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
Neuschel, Thorsten Apéry polynomials and the multivariate saddle point method. (English) Zbl 1304.30050 Constr. Approx. 40, No. 3, 487-507 (2014). MSC: 30E15 41A60 30C10 30C15 PDF BibTeX XML Cite \textit{T. Neuschel}, Constr. Approx. 40, No. 3, 487--507 (2014; Zbl 1304.30050) Full Text: DOI arXiv 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
Pan, Hao On divisibility of sums of Apéry polynomials. (English) Zbl 1353.11004 J. Number Theory 143, 214-223 (2014). MSC: 11A07 11B65 11B83 05A10 PDF BibTeX XML Cite \textit{H. Pan}, J. Number Theory 143, 214--223 (2014; Zbl 1353.11004) Full Text: DOI arXiv OpenURL
D’Anna, Marco; Micale, Vincenzo; Sammartano, Alessio Classes of complete intersection numerical semigroups. (English) Zbl 1317.20054 Semigroup Forum 88, No. 2, 453-467 (2014). Reviewer: Ilia Pirashvili (Leicester) MSC: 20M14 13C40 20M25 20M05 PDF BibTeX XML Cite \textit{M. D'Anna} et al., Semigroup Forum 88, No. 2, 453--467 (2014; Zbl 1317.20054) Full Text: DOI arXiv OpenURL
Batir, Necdet On certain series involving reciprocals of binomial coefficients. (English) Zbl 1412.11144 J. Class. Anal. 2, No. 1, 1-8 (2013). MSC: 11Y60 40A05 PDF BibTeX XML Cite \textit{N. Batir}, J. Class. Anal. 2, No. 1, 1--8 (2013; Zbl 1412.11144) Full Text: DOI OpenURL