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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T. X. Cai, X. D. Fu, X. Zhou (2007)
Acta Arithmetica
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Shigeru Kanemitsu, Jerzy Urbanowicz, Nianliang Wang (2012)
Acta Arithmetica
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Hui-Qin Cao, Hao Pan (2008)
Acta Arithmetica
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Paul Thomas Young (2001)
Acta Arithmetica
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Jaromír Duda (1991)
Czechoslovak Mathematical Journal
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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.
J. Słomiński (1960)
Fundamenta Mathematicae
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