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Glenn J. Fox
Kummer congruences for expressions involving generalized Bernoulli polynomials
Journal de théorie des nombres de Bordeaux, 14 no. 1 (2002), p. 187-204, doi: 10.5802/jtnb.353
Article PDF | Reviews MR 1925997 | Zbl 1022.11008

Résumé - Abstract

We illustrate how a particular expression, involving the generalized Bernoulli polynomials, satisfies systems of congruence relations if and only if a similar expression, involving the generalized Bernoulli numbers, satisfies the same congruence relations. These congruence relations include the Kummer congruences, and recent extensions of the Kummer congruences provided by Gunaratne.

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