Proof of some congruence conjectures of Guo and Liu

DOI10.1007/s11139-018-0066-zzbMath1473.11047arXiv1511.06221OpenAlexW2963179893WikidataQ123249455 ScholiaQ123249455MaRDI QIDQ2631612

Guo-Shuai Mao

Publication date: 15 May 2019

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

Full work available at URL: https://arxiv.org/abs/1511.06221

zbMATH Keywords

congruencesBernoulli numberscentral binomial coefficientsZeilberger algorithm

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)

Cites Work

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• Proof of a conjecture of Z.-W. Sun on the divisibility of a triple sum
• Two congruences involving harmonic numbers with applications
• Proof of some conjectures of Z.-W. Sun on the divisibility of certain double sums
• Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations
• Two new kinds of numbers and related divisibility results

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