On some congruences of certain binomial sums

DOI10.1007/s11139-015-9687-7zbMath1343.11027OpenAlexW1974310924MaRDI QIDQ282980

Bing He, Yungui Chen, Xiaoyan Xie

Publication date: 13 May 2016

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-015-9687-7

zbMATH Keywords

congruencebinomial coefficientsWZ method

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07)

Related Items

q-Analogues of some supercongruences related to Euler numbers, A \(q\)-analogue of the (L.2) supercongruence of van Hamme, Some \(q\)-supercongruences from transformation formulas for basic hypergeometric series, On some divisibility properties of binomial sums, A new extension of a “divergent” Ramanujan-type supercongruence, Finding more divisibility properties of binomial sums via the WZ method, Some congruences on harmonic numbers and binomial sums, Proof of a supercongruence via the Wilf-Zeilberger method, On two supercongruences of truncated hypergeometric series \({}_4 F_3\), On two conjectural supercongruences of Z.-W. Sun, \(q\)-analogues of two ``divergent Ramanujan-type supercongruences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hypergeometric evaluation identities and supercongruences
• On congruences related to central binomial coefficients
• Ramanujan-type supercongruences
• Super congruences and Euler numbers
• Congruences concerning Legendre polynomials. II
• A refinement of a congruence result by van Hamme and Mortenson
• “Divergent” Ramanujan-type supercongruences
• Open Conjectures on Congruences
• A $p$-adic supercongruence conjecture of van Hamme
• Decision procedure for indefinite hypergeometric summation