7 papers
On purity of Anderson t-modules
Yen-Tsung Chen, Andreas Maurischat
In the theory of abelian Anderson -modules, pure Anderson -modules play an important role. Namoijam and Papanikolas also introduced the notions of strictly pure and almost st…
Linear equations on -modules
Yen-Tsung Chen, Wei-Cheng Huang, Changningphaabi Namoijam
Let be a number field. Given finitely many -valued points on a commutative algebraic group defined over , a question of interest to number theorists is the determination…
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 special values of meromorphic Drinfeld modular forms of arbitrary rank at CM points
Yen-Tsung Chen, OÄuz GezmiÅ
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…
Linear relations among algebraic points on tensor powers of the Carlitz module
Yen-Tsung Chen, Ryotaro Harada
In the present paper, we study linear equations on tensor powers of the Carlitz module using the theory of Anderson dual -motives and a detailed analysis of a specific Frobenius…
Analytic continuation of Kochubei multiple polylogarithms and its applications
Yen-Tsung Chen
In the present paper, we propose an analytic continuation of Kochubei multiple polylogarithms using the techniques developed by Furusho. Moreover, we produce a family of linear rel…