A variation of Euler's approach to values of the Riemann zeta function
Quantum Algebra
2007-05-23 v2 Number Theory
Abstract
An elementary method of computing the values at negative integers of the Riemann zeta function is presented. The principal ingredient is a new q-analogue of the Riemann zeta function. We show that for any argument other than 1 the classical limit of this q-analogue exists and equals the value of the Riemann zeta.
Cite
@article{arxiv.math/0206171,
title = {A variation of Euler's approach to values of the Riemann zeta function},
author = {Masanobu Kaneko and Nobushige Kurokawa and Masato Wakayama},
journal= {arXiv preprint arXiv:math/0206171},
year = {2007}
}
Comments
14 pages