On two supercongruences of double binomial sums

DOI10.1007/s10998-020-00377-4zbMath1499.11010arXiv1912.01445OpenAlexW3127388515MaRDI QIDQ2052781

Long Li, Ji-Cai Liu

Publication date: 27 November 2021

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.01445

zbMATH Keywords

supercongruencescentral binomial coefficients\(q\)-congruences

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Cites Work

• On a congruence involving \(q\)-Catalan numbers
• On supercongruences for truncated sums of squares of basic hypergeometric series
• A \(q\)-microscope for supercongruences
• Proof of a \(q\)-supercongruence conjectured by Guo and Schlosser
• Proof of some \(q\)-supercongruences modulo the fourth power of a cyclotomic polynomial
• Congruences on sums of \(q\)-binomial coefficients
• Some new \(q\)-congruences for truncated basic hypergeometric series: even powers
• q-Analogues of two Ramanujan-type formulas for 1/π
• A TRUNCATED IDENTITY OF EULER AND RELATED -CONGRUENCES

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