Strong versions of Kummer-type congruences for Genocchi numbers and polynomials and tangent coefficients

Mehmet Cenkci

Displaying similar documents to “Strong versions of Kummer-type congruences for Genocchi numbers and polynomials and tangent coefficients”

The Kazandzidis supercongruences. A simple proof and an application

Alain Robert, Maxime Zuber (1995)

Rendiconti del Seminario Matematico della Università di Padova

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On some new congruences for generalized Bernoulli numbers

Shigeru Kanemitsu, Jerzy Urbanowicz, Nianliang Wang (2012)

Acta Arithmetica

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Kummer congruences for expressions involving generalized Bernoulli polynomials

Glenn J. Fox (2002)

Journal de théorie des nombres de Bordeaux

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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.