Beukers-like supercongruences for generalized Apéry numbers

DOI10.1007/S11139-017-9932-3zbMath1404.11005OpenAlexW2747682130MaRDI QIDQ1633149

Gautam Kalita

Publication date: 19 December 2018

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-017-9932-3

zbMATH Keywords

Gaussian hypergeometric seriessupercongruencesApéry numbers

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Congruences; primitive roots; residue systems (11A07) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (1)

Certain character sums, Gaussian hypergeometric series, and their connections to algebraic curves

Cites Work

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• Congruences for generalized Apéry numbers and Gaussian hypergeometric series
• On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces
• A \(p\)-adic analogue of a formula of Ramanujan
• Some congruences for the Apéry numbers
• Congruence properties of Apéry numbers
• Some congruences for Apery numbers
• Hypergeometric series over finite fields and Apéry numbers
• Another congruence for the Apéry numbers
• Congruence properties of Apery numbers
• A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function.
• Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions
• An extension of the Apéry number supercongruence
• Super congruence for the Apéry numbers
• Hypergeometric Functions Over Finite Fields
• Values of Gaussian hypergeometric series
• A Gaussian hypergeometric series evaluation and Apéry number congruences

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