Super congruence for the Apéry numbers

DOI10.1017/S002776300000307XzbMath0703.11001MaRDI QIDQ3481760

Tsuneo Ishikawa

Publication date: 1990

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

congruencesApéry numbers

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07)

Related Items (11)

Supercongruences and complex multiplication ⋮ Beukers-like supercongruences for generalized Apéry numbers ⋮ Supercongruences on truncated hypergeometric series ⋮ SUPERCONGRUENCES INVOLVING -ADIC GAMMA FUNCTIONS ⋮ Supercongruences involving products of three binomial coefficients ⋮ On sums of Apéry polynomials and related congruences ⋮ Congruences for generalized Apéry numbers and Gaussian hypergeometric series ⋮ Another proof of a supercongruence conjecture of Z.-W. Sun ⋮ Hypergeometric functions over finite fields and modular forms. A survey and new conjectures ⋮ Some supercongruences on truncated hypergeometric series ⋮ On a supercongruence conjecture of Rodriguez-Villegas

Cites Work

• On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces
• Some congruences for the Apéry numbers
• Congruence properties of Apéry numbers
• Some congruences for Apery numbers
• A proof that Euler missed. Apéry's proof of the irrationality of \(\zeta(3)\). An informal report
• Another congruence for the Apéry numbers
• Congruence properties of Apery numbers

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