Cyclotomic p-adic Multi-Zeta Values in Depth Two
Number Theory
2013-02-27 v1 Algebraic Geometry
Abstract
In this paper we compute the values of the p-adic multiple polylogarithms of depth two at roots of unity. Our method is to solve the fundamental differential equation satisfied by the crystalline frobenius morphism using rigid analytic methods. The main result could be thought of as a computation in the p-adic theory of higher cyclotomy. We expect the result to be useful in proving non-vanishing results since it gives quite explicit formulas.
Keywords
Cite
@article{arxiv.1302.6406,
title = {Cyclotomic p-adic Multi-Zeta Values in Depth Two},
author = {Sinan Unver},
journal= {arXiv preprint arXiv:1302.6406},
year = {2013}
}