Number Theory

    

Goncharov Cojecture in V-Adic

Authors: David Adam, Guillaume Estienne

Chang introduced Carlitz multiple polylogarithms (CMPs), generalizing in positive characteristic the Carlitz polylogarithms of Anderson and Thakur, and established a linear independence result for their ∞-adic algebraic values, from which follows the function field analogue of Goncharov's direct sum conjecture for multiple zeta values u200bu200b(MZV). Chen showed the analogue of this result in the v-adic setting, under the assumption that the place v is of degree one. The aim of this article is to show that Chen's result is valid for any finite place.

Comments: 10 Pages. In French

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[v1] 2026-09-14 20:41:36

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