A new integral representation for the Riemann Zeta function
Number Theory
2017-12-15 v2 Classical Analysis and ODEs
Abstract
A new integral representation for the Riemann zeta function is derived. This representation covers the important region of the complex plane where the real part of the argument of the function lies between 0 and 1. Using this representation, we obtain new functional identities for the Riemann zeta function.
Cite
@article{arxiv.math-ph/0703073,
title = {A new integral representation for the Riemann Zeta function},
author = {Sandeep Tyagi and Christian Holm},
journal= {arXiv preprint arXiv:math-ph/0703073},
year = {2017}
}