• Dirichlet Expression for $L(1, \chi)$ with General Dirichlet Character

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/120/01/0007-0009

• # Keywords

Hurwitz zeta function; Dirichlet character; Dirichlet 𝐿-series; primitive character.

• # Abstract

In the famous work of Dirichlet on class number formula, $L(s, \chi)$ at $s=1$ has been expressed as a finite sum, where $L(s, \chi)$ is the Dirichlet 𝐿-series of a real Dirichlet character. We show that this expression with obvious modification is valid for the general primitive Dirichlet character 𝜒.

• # Author Affiliations

1. Department of Mathematics, The Institute of Science, 15, Madam Cama Road, Mumbai 400 032, India

• # Proceedings – Mathematical Sciences

Volume 131, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019