11 citations · 12 across the 5 of their papers we have counts for
6 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…
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…
On the partial derivatives of Drinfeld modular forms of arbitrary rank
Yen-Tsung Chen, Oğuz Gezmiş
In this paper, we obtain an analogue of the Serre derivation acting on the product of spaces of Drinfeld modular forms which generalizes the differential operator introduced by Gek…
On the transcendence of special values of Goss -functions attached to Drinfeld modules
Oğuz Gezmiş, Changningphaabi Namoijam
Let be the finite field with elements and consider the rational function field . For a Drinfeld module defined over , we study the tra…
Special values of Goss -series attached to Drinfeld modules of rank 2
Oguz Gezmis
Inspired by the classical setting, Goss defined -series attached to Drinfeld modules. In this paper, for a fixed choice of a power of a prime number and a given Drinfeld mod…
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…