Proof of a conjecture of Z.-W. Sun on the divisibility of a triple sum

DOI10.1016/j.jnt.2015.04.024zbMath1395.11009arXiv1501.00573OpenAlexW2963343499WikidataQ123251196 ScholiaQ123251196MaRDI QIDQ2352013

Victor J. W. Guo, Ji-Cai Liu

Publication date: 29 June 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00573

zbMATH Keywords

congruencesupercongruenceZeilberger's algorithm

Mathematics Subject Classification ID

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

Related Items (2)

Proof of some congruence conjectures of Guo and Liu ⋮ Proof of Sun’s conjectures on Schröder-like numbers

Uses Software

• SumTools

Cites Work

• Proof of some conjectures of Z.-W. Sun on congruences for Apéry polynomials
• Products and sums divisible by central binomial coefficients
• Some divisibility properties of binomial and \(q\)-binomial coefficients
• ON DIVISIBILITY OF BINOMIAL COEFFICIENTS
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