8 papers
Involution on a quotient space of multiple zeta values in positive characteristic
Yoshinori Mishiba
In this paper, we introduce -inverse multiple zeta values and -inverse Carlitz multiple polylogarithms in positive characteristic and study their algebraic structures and rel…
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…
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…
Taylor coefficients of Anderson-Thakur series and explicit formulae
Chieh-Yu Chang, Nathan Green, Yoshinori Mishiba
For each positive characteristic multiple zeta value (defined by Thakur), the first and third authors constructed a -module together with an algebraic point such that a specifie…
On a conjecture of Furusho over function fields
Chieh-Yu Chang, Yoshinori Mishiba
We state and prove a function field analogue of Furusho for multiple zeta values.
On finite Carlitz multiple polylogarithms
Chieh-Yu Chang, Yoshinori Mishiba
In this paper, we define finite Carlitz multiple polylogarithms and show that every finite multiple zeta value over the rational function field is an $\mathbb{F…