10 papers · 1 filter
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 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…
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…
On the third kind periods for abelian -modules
Yen-Tsung Chen, Changningphaabi Namoijam
Inspired by the relations between periods of elliptic integrals of the third kind and the periods of the extensions of the corresponding elliptic curves by the multiplicative group…
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…