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math.NT2023
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…
math.NT2023
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…
math.NT2023
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…