Ivan Horozov
Published 2006-11-28, updated 2014-09-29Version 4
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.
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
The shuffle relation of fractions from multiple zeta values
Applications of shuffle product to restricted decomposition formulas for multiple zeta values
Combinatorial aspects of multiple zeta values
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