Voronoï type congruences and its applications
Keywords:
Bernoulli numbers, von Staudt-Clausen's theorem, Voronoï's congruence, Kummer's congruence, irregular primesAbstract
In this paper, we will first deduce Voronoï type congruences for Bernoulli numbers in the even suffix notation. Continuously, we will apply them to extend very important arithmetic properties (such as von Staudt-Clausen's and Kummer's congruences) of these numbers to more general situation.
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Published
2009-03-19
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Number Theory
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How to Cite
Voronoï type congruences and its applications. (2009). European Journal of Pure and Applied Mathematics, 1(4). https://www.ejpam.com/index.php/ejpam/article/view/109