4 citations · 8 across the 9 of their papers we have counts for
12 papers
Mellin Transform Formulas for Anderson Modules and Hints of Modularity
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…
Further techniques on a polynomial positivity question of Collins, Dykema, and Torres-Ayala
Nathaniel K. Green, Edward D. Kim
We prove that the coefficient of in is a sum of squares in the entries of the symmetric matrices and .
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…
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…
On Log-Algebraic Identities for Anderson t-modules and Characteristic p Multiple Zeta Values
Nathan Green, Tuan Ngo Dac
Based on the notion of Stark units we present a new approach that obtains refinements of log-algebraic identities for Anderson t-modules. As a consequence, we establish a generaliz…
An Equivariant Tamagawa Number Formula for Drinfeld Modules and Applications
Joseph Ferrara, Nathan Green, Zach Higgins +1
We fix data consisting of a Galois extension of characteristic global fields with arbitrary abelian Galois group and a Drinfeld module defined over a c…