On the strict class number of \({\mathbb{Q}}(\sqrt{2p})\) modulo 16, p\(\equiv 1 (mod 8)\) prime
type: Item
instance of: scholarly article
title: On the strict class number of \({\mathbb{Q}}(\sqrt{2p})\) modulo 16, p\(\equiv 1 (mod 8)\) prime
zbMATH Open document ID: 0535.12001
author: Pierre Kaplan
author: Kenneth S. Williams
published in: Osaka Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: Let \(p\equiv 1 (mod 8)\) be a prime. The strict class number of the real quadratic field \({\mathbb{Q}}(\sqrt{2p})\) of discriminant 8p is denoted by \(h^+(8p)\). For those primes p for which \(h^+(8p)\equiv 0 (mod 8)\) the value of \(h^+(8p)\) modulo 16 is determined.
Mathematics Subject Classification ID: 11R11
Mathematics Subject Classification ID: 11R23
zbMATH DE Number: 3849354
zbMATH Keywords: strict class number
zbMATH Keywords: real quadratic field
MaRDI profile type: Publication
Recommended article: The Class Number of Q(√- p), for p ≡1 (mod 8) A Prime
Recommended article: Remark on the Class Number of Q(√2p) Modulo 8 for p ≡5 (mod 8) a Prime
Recommended article: On the 16-Rank of Class Groups of ℚ(√-2p) for Primes p ≡ 1 mod 4
Recommended article: Congruences modulo 8 for class numbers of general quadratic fields \(\mathbb{Q}(\sqrt{m})\) and \(\mathbb{Q}(\sqrt{-m})\)
Recommended article: On the 16-rank of class groups of $\mathbb{Q}(\sqrt{-3p})$ for primes $p$ congruent to 1 modulo 4
Recommended article: On the 16-rank of class groups of \({\mathbb{Q}(\sqrt{-8p})}\) for \({p \equiv -1 \bmod 4}\)
Recommended article: Q5750930
Recommended article: Q3953864
Recommended article: The class number of $\mathbb{Q}(\sqrt{-p})$ and digits of $1/p$
Recommended article: The infinitude of $\mathbb {Q}(\sqrt {-p})$ with class number divisible by 16
description: scientific article; zbMATH DE number 3849354