Deformation of Multiple Zeta Values and Their Logarithmic Interpretation in Positive Characteristic
Number Theory
2021-08-24 v2
Abstract
Pellarin introduced the deformation of multiple zeta values of Thakur as elements over Tate algebras. In this paper, we relate these values to a certain coordinate of a higher dimensional Drinfeld module over Tate algebras which we will introduce. Moreover, we define multiple polylogarithms in our setting and represent deformation of multiple zeta values as a linear combination of multiple polylogarithms.
Keywords
Cite
@article{arxiv.1910.02805,
title = {Deformation of Multiple Zeta Values and Their Logarithmic Interpretation in Positive Characteristic},
author = {Oğuz Gezmiş},
journal= {arXiv preprint arXiv:1910.02805},
year = {2021}
}
Comments
46 pages