Supercongruences of Atkin and Swinnerton-Dyer type for Legendre polynomials-Reference-Cited by-同舟云学术

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Supercongruences of Atkin and Swinnerton-Dyer type for Legendre polynomials

Published:1991-07 Issue:3 Volume:38 Page:265-286
ISSN:0022-314X
Container-title:Journal of Number Theory
language:en
Short-container-title:Journal of Number Theory

Author:

Coster M.J.,van Hamme L.

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference28 articles.

1. K. Alladi and M. L. Robinson, On certain values of the logarithm, in “Lecture Notes,” Vol. 751, pp. 1–9.

2. Modular forms on noncongruence subgroups;Atkin,1971

3. Modular invariants expressible in terms of quadratic and cubic irrationals;Berwick,1928

4. Some congruences for the Apéry numbers;Beukers;J. Number Theory,1985

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Supercongruences concerning lacunary sums of Catalan numbers and binomial coefficients;Publicationes Mathematicae Debrecen;2023-07-01

2. A local-global theorem for p-adic supercongruences;Journal für die reine und angewandte Mathematik (Crelles Journal);2022-07-23

3. Congruences corresponding to hypergeometric identities I. F12 transformations;Journal of Mathematical Analysis and Applications;2022-01

4. Proof of some conjectural hypergeometric supercongruences via curious identities;Journal of Mathematical Analysis and Applications;2022-01

5. On the Atkin and Swinnerton-Dyer type congruences for some truncated hypergeometric ${}_1F_0$ series;Acta Arithmetica;2021

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