3 papers
math.NT2026
Mellin Transform Formulas for Anderson Modules and Hints of Modularity
OÄuz GezmiÅ, Oğuz Gezmiş, Nathan Green
In the present paper, we introduce formulas for the logarithm function of abelian, uniformizable Anderson modules. Combining our formulas with a motivic map introduced recently by…
math.NT2024
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.NT2024
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…