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math.NT2022★ 1 cited
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…
math.NT2022
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…
math.NT2022
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…