62 citations · 124 across the 18 of their papers we have counts for
18 papers
-adic periods of Carlitz motives and Chowla-Selberg formula revisited
Chieh-Yu Chang, Fu-Tsun Wei, Jing Yu
Let be a finite place of . In this paper, we interpret -adic arithmetic gamma values in terms of the -adic crystalline-de Rham periods of Carlitz motives…
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…
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…
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.
Log-algebraic identities on Drinfeld modules and special L-values
Chieh-Yu Chang, Ahmad El-Guindy, Matthew A. Papanikolas
We formulate and prove a log-algebraicity theorem for arbitrary rank Drinfeld modules defined over the polynomial ring F_q[theta]. This generalizes results of Anderson for the rank…
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…
On multiple polylogarithms in characteristic : -adic vanishing versus -adic Eulerianness
Chieh-Yu Chang, Yoshinori Mishiba
In this paper, we give a simultaneous vanishing principle for the -adic Carlitz multiple polylogarithms (abbreviated as CMPLs) at algebraic points, where is a finite place o…
Linear relations among double zeta values in positive characteristic
Chieh-Yu Chang
The study of this paper is inspired by the conjecture of Zagier on the explicit dimension formula for the space of the same weight double zeta values in terms of the dimension of c…
An effective criterion for Eulerian multizeta values in positive characteristic
Chieh-Yu Chang, Matthew A. Papanikolas, Jing Yu
Characteristic p multizeta values were initially studied by Thakur, who defined them as analogues of classical multiple zeta values of Euler. In the present paper we establish an e…
Linear independence of monomials of multizeta values in positive characteristic
Chieh-Yu Chang
In this paper, we study transcendence theory for Thakur multizeta values in positive characteristic. We prove an analogue of the strong form of Goncharov's conjecture. We also esta…
Algebraic independence of periods and logarithms of Drinfeld modules (with an appendix by Brian Conrad)
Chieh-Yu Chang, Matthew A. Papanikolas
Let rho be a Drinfeld A-module with generic characteristic defined over an algebraic function field. We prove that all of the algebraic relations among periods, quasi-periods, and…
Periods of third kind for rank 2 Drinfeld modules and algebraic independence of logarithms
Chieh-Yu Chang
In analogy with the periods of abelian integrals of differentials of third kind for an elliptic curve defined over a number field, we introduce a notion of periods of third kind fo…
Algebraic independence of arithmetic gamma values and Carlitz zeta values
Chieh-Yu Chang, Matthew A. Papanikolas, Dinesh S. Thakur +1
We consider the values at proper fractions of the arithmetic gamma function and the values at positive integers of the zeta function for F_q[theta] and provide complete algebraic i…
Geometric Gamma values and zeta values in positive characteristic
Chieh-Yu Chang, Matthew A. Papanikolas, Jing Yu
In analogy with values of the classical Euler Gamma-function at rational numbers and the Riemann zeta-function at positive integers, we consider Thakur's geometric Gamma-function e…
Algebraic relations among periods and logarithms of rank 2 Drinfeld modules
Chieh-Yu Chang, Matthew A. Papanikolas
For any rank 2 Drinfeld module rho defined over an algebraic function field, we consider its period matrix P, which is analogous to the period matrix of an elliptic curve defined o…
Frobenius difference equations and algebraic independence of zeta values in positive equal characteristic
Chieh-Yu Chang, Matthew A. Papanikolas, Jing Yu
In analogy with the Riemann zeta function at positive integers, for each finite field F_p^r with fixed characteristic p we consider Carlitz zeta values zeta_r(n) at positive intege…