The Euler numbers and recursive properties of Dirichlet L-functions

Abstract The aim of this paper is using an elementary method and the properties of the Bernoulli polynomials to establish a close relationship between the Euler numbers of the second kind En∗ $E_{n}^{*}$ and the Dirichlet L-function L(s,χ) $L(s,\chi )$. At the same time, we also prove a new congruen...

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Bibliographic Details
Main Authors: Yiwei Hou, Shimeng Shen
Format: Article
Language:English
Published: SpringerOpen 2018-10-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1853-y