Jigu Kim

collaborators

3 papers

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.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…

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

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

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