On l-adic Galois L-functions

Abstract

We are studing Galois actions on fundamental groups. Using towers of coverings we construct measures on the products of finite copies of Zp. Using these measures we can calculate coefficients of Galois representations. In the simplest case of measures on Zp, we get KubotaLeopoldt p-adic L-functions and p-adic Hurwitz zeta functions.

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