Jigu Kim

activity

20202026

collaborators

5 papers

math.NT2026

Genus character $L$ -functions of orders in quadratic function fields

Jigu Kim, Yoshinori Mizuno

We define genus character $L$ -functions of orders in quadratic function fields of odd characteristic. We express each as a product of two quadratic $L$ -functions and explicit local…

math.NT2022

Congruences on the class numbers of $Q (\pm 2 p)$ for $p \equiv 3$ $(mod 4)$ a prime

Jigu Kim, Yoshinori Mizuno

For a prime $p \equiv 3$ $(mod 4)$ , let $h (- 8 p)$ and $h (8 p)$ be the class numbers of $Q (- 2 p)$ and $Q (2 p)$ , respectively. Let $Ψ (ξ)$ be the Hir…

math.NT2022

Congruences for odd class numbers of quadratic fields with odd discriminant

Jigu Kim, Yoshinori Mizuno

For any distinct two primes $p_{1} \equiv p_{2} \equiv 3$ $(mod 4)$ , let $h (- p_{1})$ , $h (- p_{2})$ and $h (p_{1} p_{2})$ be the class numbers of the quadratic fields $\mathbb{Q}(\sqrt{-p_1})…

math.NT2021

$p$ -adic Properties for Taylor Coefficients of Half-integral Weight Modular Forms on $Γ_{1} (4)$

Jigu Kim, Yoonjin Lee

For a prime $p \equiv 3$ $(mod 4)$ and $m \geq 2$ , Romik raised a question about whether the Taylor coefficients around $- 1$ of the classical Jacobi theta function $θ_{3}$ …

math.NT2020

Distribution of root numbers of Hecke characters attached to some elliptic curves

Keunyoung Jeong, Jigu Kim, Taekyung Kim

In this paper, we show that an action on the set of elliptic curves with j= 1728 preserves a certain kind of symmetry on the local root number of Hecke characters attached to such…

Genus character L-functions of orders in quadratic function fields

Congruences on the class numbers of Q(±2p​) for p≡3 (mod 4) a prime

Congruences for odd class numbers of quadratic fields with odd discriminant

p-adic Properties for Taylor Coefficients of Half-integral Weight Modular Forms on Γ1​(4)

Distribution of root numbers of Hecke characters attached to some elliptic curves

Genus character $L$ -functions of orders in quadratic function fields

Congruences on the class numbers of $Q (\pm 2 p)$ for $p \equiv 3$ $(mod 4)$ a prime

$p$ -adic Properties for Taylor Coefficients of Half-integral Weight Modular Forms on $Γ_{1} (4)$