Voronoï type congruences and its applications

Authors

  • Takashi Agoh Department of Mathematics, Tokyo University of Science

Keywords:

Bernoulli numbers, von Staudt-Clausen's theorem, Voronoï's congruence, Kummer's congruence, irregular primes

Abstract

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.

Author Biography

  • Takashi Agoh, Department of Mathematics, Tokyo University of Science
    Professor in the Department of Mathematics, TUS

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Published

2009-03-19

Issue

Vol. 1 No. 4: (October 2008)

Section

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