New relations on zeta and $L$ functions
Number Theory
2021-08-06 v1
Abstract
We prove new relations on zeta function at even arguments and Dirichlet function at odd. The key idea is to make use of the Taylor series and partial fraction decomposition of cotangent and secant functions as we discuss in calculus and complex analysis.
Cite
@article{arxiv.2108.02342,
title = {New relations on zeta and $L$ functions},
author = {Masato Kobayashi},
journal= {arXiv preprint arXiv:2108.02342},
year = {2021}
}
Comments
14 pages