2 citations · 3 across the 7 of their papers we have counts for
9 papers
The threshold for linear independence of multiple zeta values in positive characteristic
Bo-Hae Im, Hojin Kim, Tuan Ngo Dac
A fundamental conjecture formulated by Thakur in 2009, which has guided significant developments in function field arithmetic, asserts that multiple zeta values (MZV's) in positive…
Zagier-Hoffman's conjectures in positive characteristic II
Bo-Hae Im, Hojin Kim, Khac Nhuan Le +2
Zagier-Hoffman's conjectures predict the dimension and a basis for the -vector spaces spanned by th cyclotomic multiple zeta values (MZV's) of fixed weight where …
Hopf algebras and alternating multiple zeta values in positive characteristic
Bo-Hae Im, Hojin Kim, Khac Nhuan Le +2
In \cite{IKLNDP23} we presented a systematic study of algebra structures of multiple zeta values in positive characteristic introduced by Thakur as analogues of classical multiple…
Hopf algebras and multiple zeta values in positive characteristic
Bo-Hae Im, Hojin Kim, Khac Nhuan Le +2
Multiples zeta values (MZV's for short) in positive characteristic were introduced by Thakur as analogues of classical multiple zeta values of Euler. In this paper we give a system…
Universal Families of Eulerian Multiple Zeta Values in Positive Characteristics
Kwun Chung, Tuan Ngo Dac, Federico Pellarin
We study positive characteristic multiple zeta values associated to general curves over together with an -rational point as introduced by Thakur…
On Log-Algebraic Identities for Anderson t-modules and Characteristic p Multiple Zeta Values
Nathan Green, Tuan Ngo Dac
Based on the notion of Stark units we present a new approach that obtains refinements of log-algebraic identities for Anderson t-modules. As a consequence, we establish a generaliz…
Special functions and twisted -series
Bruno Anglès, Tuan Ngo Dac, Floric Tavares Ribeiro
We introduce a generalization of the Anderson-Thakur special function, and we prove a rationality result for several variable twisted -series associated to shtuka functions.
Twisted characteristic zeta functions
Bruno Anglès, Tuan Ngo Dac, Floric Tavares Ribeiro
We propose a "twisted" variation of zeta functions introduced by David Goss in 1979.
Exceptional Zeros of -series and Bernoulli-Carlitz Numbers
Bruno Anglès, Tuan Ngo Dac, Floric Tavares Ribeiro
Bernoulli-Carlitz numbers were introduced by L. Carlitz in 1935, they are the analogues in positive characteristic of Bernoulli numbers. We prove a conjecture formulated by F. Pell…