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.
Downloads
Published
2009-03-19
Issue
Section
Number Theory
License
Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.
European Journal of Pure and Applied Mathematics will be Copyright Holder.
How to Cite
Voronoï type congruences and its applications. (2009). European Journal of Pure and Applied Mathematics, 1(4). https://ejpam.com/index.php/ejpam/article/view/109