On v-adic periods of t-motives

Details On v-adic periods of t-motives On v-adic periods of t-motives

2011-05-31

arxiv.org/abs/1105.6243v1

Mathematics

Number Theory

35 pages

Scientific paper

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.

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