A congruence involving the quotients of Euler and its applications (I)
Tianxin Cai (2002)
Acta Arithmetica
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Tianxin Cai (2002)
Acta Arithmetica
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Shigeru Kanemitsu, Jerzy Urbanowicz, Nianliang Wang (2012)
Acta Arithmetica
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Paul Thomas Young (2001)
Acta Arithmetica
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Hui-Qin Cao, Hao Pan (2008)
Acta Arithmetica
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Takashi Agoh (1988)
Manuscripta mathematica
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Hao Pan, Zhi-Wei Sun (2006)
Acta Arithmetica
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L. Carlitz (1964)
Journal für die reine und angewandte Mathematik
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Florian Luca, Pantelimon Stănică (2007)
Acta Arithmetica
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Tasoev, B.G. (1999)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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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.
William D. Banks, John B. Friedlander, Florian Luca, Francesco Pappalardi, Igor E. Shparlinski (2006)
Acta Arithmetica
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Ji-Cai Liu (2017)
Czechoslovak Mathematical Journal
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Euler's pentagonal number theorem was a spectacular achievement at the time of its discovery, and is still considered to be a beautiful result in number theory and combinatorics. In this paper, we obtain three new finite generalizations of Euler's pentagonal number theorem.
William D. Banks, Florian Luca (2005)
Acta Arithmetica
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