The infinitude of $\mathbb {Q}(\sqrt {-p})$ with class number divisible by 16

DOI10.4064/aa8147-2-2017zbMath1428.11195arXiv1502.00541OpenAlexW2963031940MaRDI QIDQ2985914

Djordjo Milovic

Publication date: 10 May 2017

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.00541

zbMATH Keywords

class groupssieve theory

Mathematics Subject Classification ID

Quadratic extensions (11R11) Applications of sieve methods (11N36) Class numbers, class groups, discriminants (11R29)

Related Items (4)

On the 8-rank of narrow class groups of ℚ(−4pq), ℚ(−8pq), and ℚ(8pq) ⋮ Congruences relating class numbers of quadratic orders and Zagier's sums ⋮ The 16-rank of \(\mathbb{Q}(\sqrt{-p})\) ⋮ Spins of prime ideals and the negative Pell equation

Cites Work

• Asymptotic sieve for primes
• The parity of the period of the continued fraction of d
• Parametric form of an eight class field
• On the class number Q(√-p) modulo 16, for p ≡ 1 (mod 8) a prime
• Note on primes of type x2 + 32y2, class number, and residuacity.

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