On integrality of $p$-adic iterated integrals

Andre Chatzistamatiou

On integrality of $p$-adic iterated integrals

Number Theory 2015-11-10 v2 Algebraic Geometry

Authors: Andre Chatzistamatiou

Abstract

The purpose of this paper is to prove integrality for certain $p$ -adic iterated Coleman integrals. As underlying geometry we will take the complement of a divisor $D\subset X$ with good reduction, where $X$ is the projective line or an elliptic curve over the Witt vectors of a perfect characteristic $p$ field. As a corollary we prove a lower bound for the valuations of $p$ -adic multiple zeta values.

Keywords

p-adic hodge theory p-adic analysis stochastic integrals

Cite

@article{arxiv.1501.05760,
  title  = {On integrality of $p$-adic iterated integrals},
  author = {Andre Chatzistamatiou},
  journal= {arXiv preprint arXiv:1501.05760},
  year   = {2015}
}

Comments

24 pages, improved result on the valuations of p-adic multiple zeta values

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