Jigu Kim

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20202026

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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})…

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

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