Bo-Hae Im

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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.NT2025

Density of Elliptic Curves over Number Fields with Prescribed Torsion Subgroups

Bo-Hae Im, Hansol Kim

Let $K$ be a number field. For positive integers $m$ and $n$ such that $m ∣ n$ , we let $S_{m, n}$ be the set of elliptic curves $E / K$ defined over $K$ such that $E(K)_{\…

math.NT2024

Zagier-Hoffman's conjectures in positive characteristic

Bo-Hae Im, Hojin Kim, Khac Nhuan Le +2

Multiples zeta values and alternating multiple zeta values in positive characteristic were introduced by Thakur and Harada as analogues of classical multiple zeta values of Euler a…