Three families of \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial

DOI10.1007/s13398-022-01338-xOpenAlexW4306360637MaRDI QIDQ2681955

Michael J. Schlosser, Victor J. W. Guo

Publication date: 31 January 2023

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-022-01338-x

zbMATH Keywords

basic hypergeometric seriessupercongruencescyclotomic polynomial\(q\)-congruencesGasper's summation

Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)

Related Items (4)

A new \(q\)-supercongruence modulo the fourth power of a cyclotomic polynomial ⋮ Proof of some supercongruences through a \(q\)-microscope ⋮ Generalizations of the (F.2) supercongruence of Van Hamme ⋮ Some \(q\)-supercongruences from squares of basic hypergeometric series

Cites Work

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• A FAMILY OF -SUPERCONGRUENCES MODULO THE CUBE OF A CYCLOTOMIC POLYNOMIAL

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