Multiple Zeta Values and Ideles
Number Theory
2014-09-30 v4
Abstract
In this paper we give two idelic representations of the multiple zeta values - one using iterated integrals over the finite ideles and the other using iterated integrals over the idele class group. Each of the representations leads to a shuffle relation. Thus, we recover in a unified way the two types of shuffle relations of multiple zeta values via the iterated integrals over finite ideles and via iterated integrals over the idele class group.
Keywords
Cite
@article{arxiv.math/0611849,
title = {Multiple Zeta Values and Ideles},
author = {Ivan Horozov},
journal= {arXiv preprint arXiv:math/0611849},
year = {2014}
}
Comments
This paper is a substantially revised version of the preprint "Multiple Zeta Functions, Modular Forms and Adeles" from 2006; better arranged comated to the previous version; 10 pages