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math.NT2022
An Equivariant Tamagawa Number Formula for t-Modules and Applications
Nathan Green, Cristian Popescu
We fix motivic data consisting of a Galois extension of characteristic global fields with arbitrary abelian Galois group and an ableian -module , def…
math.NT2022
A Motivic Pairing and the Mellin Transform in Function Fields
Nathan Green
We define two pairings relating the A-motive with the dual A-motive of an abelian Anderson A-module. We show that specializations of these pairings give the exponential and logarit…