1 citations · 3 across the 15 of their papers we have counts for
16 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 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…
A -adic variant of Anderson-Brownawell-Papanikolas linear independence criterion and its application
Yen-Tsung Chen
Let be a fixed algebraic closure of . When the finite place is of degree one, we show that all -linear relations among -adic Carlitz multiple…
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…
On Furusho's analytic continuation of Drinfeld logarithms
Yen-Tsung Chen
In the present paper, we establish an analytic continuation of Drinfeld logarithms by using the techniques introduced in [Fur20]. This result can be seen as an analogue of the anal…
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 Thakur's basis conjecture for multiple zeta values in positive characteristic
Chieh-Yu Chang, Yen-Tsung Chen, Yoshinori Mishiba
In this paper, we study multiple zeta values (abbreviated as MZV's) over function fields in positive characteristic. Our main result is to prove Thakur's basis conjecture, which pl…
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…
On lower bounds of the dimensions of multizeta values in positive characteristic
Yen-Tsung Chen, Ryotaro Harada
In this paper, we study the linear independence of special values, including the positive characteristic analogue of multizeta values, alternating multizeta values and multiple pol…
Linear equations on Drinfeld modules
Yen-Tsung Chen
Let be a finite extension of the rational function field over a finite field and be a Drinfeld module defined over . Given finitely many elements in $E(L)…
Algebra structure of multiple zeta values in positive characteristic
Chieh-Yu Chang, Yen-Tsung Chen, Yoshinori Mishiba
This paper is a culmination of [CM20] on the study of multiple zeta values (MZV's) over function fields in positive characteristic. For any finite place of the rational functio…
Integrality of -adic multiple zeta values
Yen-Tsung Chen
In this article, we prove the integrality of -adic multiple zeta values (MZVs). For any index and finite place , Chang and…