4 papers
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…
On the partial derivatives of Drinfeld modular forms of arbitrary rank
Yen-Tsung Chen, OÄuz GezmiÅ
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 nearly holomorphic Drinfeld modular forms for admissible coefficient rings
OÄuz GezmiÅ, Sriram Chinthalagiri Venkata
Let be a smooth projective and geometrically irreducible curve over the finite field with elements and be its function field. Let be a fixed clo…
A family of Hecke eigenforms for Drinfeld modular forms of arbitrary rank
OÄuz GezmiÅ, Oğuz Gezmiş, Ãzge Ãlkem +1
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…