On some congruences involving central binomial coefficients

DOI10.1017/S0004972724000121MaRDI QIDQ6666592

Guo-Shuai Mao

Publication date: 20 January 2025

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

congruencesBernoulli numbersEuler numbersharmonic numberscentral binomial coefficients

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

• Title not available (Why is that?)
• On congruences related to central binomial coefficients
• Note on the congruence \(2^{in}\equiv(-)^n(2n)!/(n!)^2\), where \(2n+1\) is a prime.
• Congruences concerning Bernoulli numbers and Bernoulli polynomials
• Congruences for central binomial sums and finite polylogarithms
• Super congruences and Euler numbers
• Proof of a conjecture of Adamchuk
• On two congruence conjectures
• Congruences involving alternating multiple harmonic sums
• A combinatorial identity with application to Catalan numbers
• Symbolic summation assists combinatorics
• A new series for π³and related congruences
• ON SOME NEW CONGRUENCES FOR BINOMIAL COEFFICIENTS
• Elementary proof of congruences involving sum of binomial coefficients
• Open Conjectures on Congruences
• Proof of some congruences conjectured by Z.-W. Sun

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