6 papers
Multiple Zeta Values in Positive Characteristic: A Kaneko-Zagier-Type Conjecture
Hung-Chun Tsui
In this paper, we study a comparison between -adic and finite multiple zeta values in positive characteristic. We construct a surjective comparison map from the algebra of…
Mishiba's Conjecture on the Coaction of -adic Multiple Zeta Values
Hung-Chun Tsui
We study multiple zeta values in positive characteristic. We construct, using -adic multiple zeta values, a coaction of the -adic multiple zeta value algebra modulo…
On -Multiple Zeta Values in Positive Characteristic
Hung-Chun Tsui
In this paper, we introduce the concepts of the -bracket, finite multiple harmonic -series, and -multiple zeta values via the Carlitz module. These objects serve as functi…
Algebra Structures of Multiple Eisenstein Series in Positive Characteristic
Ting-Wei Chang, Song-Yun Chen, Fei-Jun Huang +1
In [CCHT25], the authors introduced multiple Eisenstein series of arbitrary rank in positive characteristic and the -shuffle algebra associated with them. In the p…
Uniqueness of -adic Gamma Functions in the Gross-Koblitz-Thakur Formulas
Ting-Wei Chang, Hung-Chun Tsui
In this paper, we determine all continuous non-vanishing functions satisfying Gross-Koblitz-Thakur formulas in positive characteristic.
On -Shuffle Relations for Multiple Eisenstein Series of Arbitrary Rank in Positive Characteristic
Ting-Wei Chang, Song-Yun Chen, Fei-Jun Huang +1
In this paper, we define the multiple Eisenstein series of arbitrary rank in positive characteristic, with Thakur's multiple zeta values appearing as the "constant terms" of their…