On v-adic periods of t-motives

Yoshinori Mishiba

On v-adic periods of t-motives

Number Theory 2011-06-01 v1

Authors: Yoshinori Mishiba

Abstract

In this paper, we prove the equality between the transcendental degree of the field generated by the v-adic periods of a t-motive M and the dimension of the Tannakian Galois group for M, where v is a "finite" place of the rational function field over a finite field. As an application, we prove the algebraic independence of certain "formal" polylogarithms.

Keywords

v-adic periods t-motives transcendental degree Tannakian Galois group algebraic independence polylogarithms finite fields

Cite

@article{arxiv.1105.6243,
  title  = {On v-adic periods of t-motives},
  author = {Yoshinori Mishiba},
  journal= {arXiv preprint arXiv:1105.6243},
  year   = {2011}
}

Comments

35 pages

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