4 citations · 4 across the 7 of their papers we have counts for
8 papers
On special values of meromorphic Drinfeld modular forms of arbitrary rank at CM points
Yen-Tsung Chen, Oğuz Gezmiş
In the present paper, we introduce meromorphic Drinfeld modular forms of arbitrary rank equipped with a particular arithmeticity property. We also study their special values at CM…
On the algebraic independence of logarithms of Anderson -modules
Oğuz Gezmiş, Changningphaabi Namoijam
In the present paper, we determine the algebraic relations among the tractable coordinates of logarithms of Anderson -modules constructed by taking the tensor product of Drinfel…
Mellin transform formulas for Drinfeld modules
Oğuz Gezmiş, Nathan Green
We introduce formulas for the logarithms of Drinfeld modules using a framework recently developed by the second author. We write the logarithm function as the evaluation under a mo…
Nearly holomorphic Drinfeld modular forms and their special values at CM points
Yen-Tsung Chen, Oğuz Gezmiş
In the present paper, we introduce the notion of nearly holomorphic Drinfeld modular forms and study an analogue of Maass-Shimura operators in this context. Furthermore, for a give…
On Drinfeld modular forms of higher rank and quasi-periodic functions
Yen-Tsung Chen, Oğuz Gezmiş
In the present paper, we introduce a special function on the Drinfeld period domain for which gives the false Eisenstein series of Gekeler when . We also stu…
Trivial multiple zeta values in Tate algebras
O. Gezmi{ş}, F. Pellarin
We study trivial multiple zeta values in Tate algebras. These are particular examples of the multiple zeta values in Tate algebras in positive characteristic introduced by the seco…
Deformation of Multiple Zeta Values and Their Logarithmic Interpretation in Positive Characteristic
Oğuz Gezmiş
Pellarin introduced the deformation of multiple zeta values of Thakur as elements over Tate algebras. In this paper, we relate these values to a certain coordinate of a higher dime…
Taelman L-Values for Drinfeld Modules over Tate Algebras
Oğuz Gezmiş
In the present paper, we analyze Taelman L-values corresponding to Drinfeld modules over Tate algebras of arbitrary rank. Using our results, we also introduce an L-series convergin…