A new \(q\)-supercongruence modulo the fourth power of a cyclotomic polynomial

DOI10.1007/s13398-023-01432-8zbMath1516.11009OpenAlexW4364365180MaRDI QIDQ6042197

Na Tang

Publication date: 16 May 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/s13398-023-01432-8

zbMATH Keywords

cyclotomic polynomialscreative microscoping\(q\)-supercongruencesJackson's \(_6\phi_5\) summation

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Congruences; primitive roots; residue systems (11A07)

Related Items (4)

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 ⋮ A new \(q\)-variation of the (C.2) supercongruence of Van Hamme

Cites Work

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