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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…
math.NT2022
Function Field Analogue of Shimura's Conjecture on Period Symbols
W. Dale Brownawell, Chieh-Yu Chang, Matthew A. Papanikolas +1
In this paper we introduce the notion of Shimura's period symbols over function fields in positive characteristic and establish their fundamental properties. We further formulate a…