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math.NT2026
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…
math.NT2024
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 …
math.NT2023
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…