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A Theorem of Glaisher

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Publication:5821512
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DOI10.4153/CJM-1953-035-2zbMath0052.03802MaRDI QIDQ5821512

Leonard Carlitz

Publication date: 1953

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

congruencesBernoulli numbersbinomial coefficientsgeneralized Euler numbers


Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07)


Related Items (12)

AN EXTENSION OF SURY’S IDENTITY AND RELATED CONGRUENCES ⋮ CONGRUENCES CONCERNING JACOBI POLYNOMIALS AND APÉRY-LIKE FORMULAE ⋮ A Stirling like sequence of rational numbers ⋮ Proof of some congruence conjectures of Z.-H. Sun involving Apéry-like numbers ⋮ \(p\)-adic congruences motivated by series ⋮ Congruences for the coefficients within a generalized factorial polynomial. ⋮ Unnamed Item ⋮ $p$-adic $L$-functions and classical congruences ⋮ A Morley-Like Congruence Arising From Morley's Congruence ⋮ On some congruences involving Domb numbers and harmonic numbers ⋮ Recursive method for building Arnold's triangle. II: Proofs and explicit formulas ⋮ Congruences concerning Bernoulli numbers and Bernoulli polynomials




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