A v-adic variant of Anderson-Brownawell-Papanikolas linear independence criterion and its application

2023/08/10 by Chen, Yen-Tsung
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2308.05825

Abstract

Let k be a fixed algebraic closure of k. When the finite place v is of degree one, we show that all k-linear relations among v-adic Carlitz multiple polylogarithms at algebraic points arise from k-linear relations among these values of the same weight. As an application, we establish a function field analogue of Furusho-Yamashita's conjecture for v-adic multiple zeta values whenever the degree of the place v is one.

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