On some new congruences for generalized Bernoulli numbers
Shigeru Kanemitsu, Jerzy Urbanowicz, Nianliang Wang (2012)
Acta Arithmetica
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Displaying similar documents to “Kummer congruences for values of Bernoulli and Euler polynomials”
On some new congruences for generalized Bernoulli numbers
A congruence involving the quotients of Euler and its applications (II)
T. X. Cai, X. D. Fu, X. Zhou (2007)
Acta Arithmetica
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A congruence involving the quotients of Euler and its applications (I)
Tianxin Cai (2002)
Acta Arithmetica
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Strong versions of Kummer-type congruences for Genocchi numbers and polynomials and tangent coefficients
Mehmet Cenkci (2005)
Acta Mathematica Universitatis Ostraviensis
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We use the properties of -adic integrals and measures to obtain general congruences for Genocchi numbers and polynomials and tangent coefficients. These congruences are analogues of the usual Kummer congruences for Bernoulli numbers, generalize known congruences for Genocchi numbers, and provide new congruences systems for Genocchi polynomials and tangent coefficients.
Fully degenerate poly-Bernoulli numbers and polynomials
Taekyun Kim, Dae San Kim, Jong-Jin Seo (2016)
Open Mathematics
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In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.
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 Grätzer's problem of binary 1-step congruence schemes
Ivan Chajda (1989)
Czechoslovak Mathematical Journal
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