Some congruences from the Karlsson-Minton summation formula

DOI10.1007/s00025-023-01916-4arXiv2208.06650OpenAlexW4367394055MaRDI QIDQ6045115

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Publication date: 26 May 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.06650

zbMATH Keywords

supercongruencestruncated hypergeometric seriesKarlsson-Minton summation formula

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Generalized hypergeometric series, ({}_pF_q) (33C20) Special functions in characteristic (p) (gamma functions, etc.) (33E50)

Cites Work

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• Generalized Legendre polynomials and related supercongruences
• Some \(q\)-analogues of supercongruences of Rodriguez-Villegas
• Some supercongruences occurring in truncated hypergeometric series
• A \(q\)-microscope for supercongruences
• A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function.
• Supercongruences concerning truncated hypergeometric series
• A local-global theorem for \(p\)-adic supercongruences
• Hypergeometric series, truncated hypergeometric series, and Gaussian hypergeometric functions
• Some \(q\)-supercongruences from Gasper's Karlsson-Minton type summation
• Supercongruences between truncated $_{2}F_{1}$ hypergeometric functions and their Gaussian analogs
• CONGRUENCES FOR TRUNCATED HYPERGEOMETRIC SERIES

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