3 papers
math.NT2026
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…
math.NT2025
A family of Hecke eigenforms for Drinfeld modular forms of arbitrary rank
Oğuz Gezmiş, Özge Ülkem
We aim to provide an infinite family of cuspidal Drinfeld-Hecke eigenforms given in terms of a determinant of twisted Eisenstein series. Our main tool is the theory of vectorial Dr…
math.NT2018
The de Rham isomorphism for Drinfeld modules over Tate algebras
Oğuz Gezmiş, Matthew A. Papanikolas
Introduced by Anglès, Pellarin, and Tavares Ribeiro, Drinfeld modules over Tate algebras are closely connected to Anderson log-algebraicity identities, Pellarin -series, and Tae…