Kummer congruences for expressions involving generalized Bernoulli polynomials

DOI10.5802/jtnb.353zbMath1022.11008OpenAlexW2318694887MaRDI QIDQ1396439

Glenn J. Fox

Publication date: 30 June 2003

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2002__14_1_187_0

zbMATH Keywords

congruencesBernoulli numbersgeneralized Bernoulli polynomials\(p\)-adic \(L\)-functions

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Congruences; primitive roots; residue systems (11A07) Zeta functions and (L)-functions (11S40)

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Cites Work

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• A \(p\)-adic \(L\)-function of two variables
• A generalization of Kummer's congruences
• Polynomial mappings
• Bernoulli numbers and \(p\)-adic \(L\)-functions
• Kummer congruences for values of Bernoulli and Euler polynomials
• Arithmetic Properties of Generalized Bernoulli Numbers.
• KUMMER'S CONGRUENCE FOR GENERALIZED BERNOULLI NUMBERS AND ITS APPLICATION