Two \(q\)-supercongruences from Watson's transformation
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Publication:2244656
DOI10.1007/s13398-021-01172-7zbMath1480.11003arXiv2009.08035OpenAlexW3208493767WikidataQ121663628 ScholiaQ121663628MaRDI QIDQ2244656
Publication date: 12 November 2021
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://arxiv.org/abs/2009.08035
Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)
Related Items (11)
A new extension of the (A.2) supercongruence of Van Hamme ⋮ Further \(q\)-supercongruences from a transformation of Rahman ⋮ A new \(q\)-supercongruence modulo the fourth power of a cyclotomic polynomial ⋮ Three families of \(q\)-supercongruences from a quadratic transformation of Rahman ⋮ Three families of \(q\)-supercongruences modulo the square and cube of a cyclotomic polynomial ⋮ Further generalizations of four supercongruences of Rodriguez-Villegas ⋮ 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 ⋮ \(q\)-supercongruences from Jackson's \({}_8 \phi_7\) summation and Watson's \({}_8 \phi_7\) transformation ⋮ A \(q\)-supercongruence from a \(q\)-analogue of Whipple's \({}_3F_2\) summation formula
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