Spins of prime ideals and the negative Pell equation (Q5227653)

scientific article; zbMATH DE number 7089329

Language	Label	Description	Also known as
English	Spins of prime ideals and the negative Pell equation	scientific article; zbMATH DE number 7089329

Statements

instance of

scholarly article

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title

Spins of prime ideals and the negative Pell equation (English)

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Compositio Mathematica

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publication date

7 August 2019

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full work available at URL

https://arxiv.org/abs/1611.10337

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zbMATH Keywords

class groups

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negative Pell equation

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sieve theory

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MaRDI profile type

MaRDI publication profile

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cites work

On congruent primes and class numbers of imaginary quadratic fields

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On Character Sums and Primitive Roots†

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On Character Sums and L -Series. II

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On the Existence of Fields Governing the 2-Invariants of the Classgroup of Q(√dp) as p Varies

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Q3328638

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On the 4-rank of class groups of quadratic number fields

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On the negative Pell equation

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On the Spiegelungssatz for the 4-rank

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The parity of the period of the continued fraction of d

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Weighted Distribution of the 4-rank of Class Groups and Applications

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The spin of prime ideals

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Erratum to: ``The spin of prime ideals''

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The polynomial $X^2+Y^4$ captures its primes

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The size of Selmer groups for the congruent number problem

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The size of Selmer groups for the congruent number problem. II. With an appendix by P. Monsky.

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Q3889160

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On the class numbers of Q(√±2p) modulo 16, for p ≡ 1 (mod 8) a prime

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On the strict class number of ${\mathbb{Q}}(\sqrt{2p})$ modulo 16, p$\equiv 1 (mod 8)$ prime

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Divisibilité par 16 du nombre des classes au sens strict des corps quadratiques réels dont le deux-groupe des classes est cyclique. (Divisibility by 16 of the strict class number of real quadratic fields with cyclic 2-class group)

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On the 16-Rank of Class Groups of ℚ(√-2p) for Primes p ≡ 1 mod 4

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Q3735800

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On the Divisibility of the Class Numbers of Q(√−p) and Q(√−2p) by 16.

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

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On the 16-rank of class groups of ${\mathbb{Q}(\sqrt{-8p})}$ for ${p \equiv -1 \bmod 4}$

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On the 8-rank of narrow class groups of ℚ(−4pq), ℚ(−8pq), and ℚ(8pq)

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Sur la divisibilite par 8 et 16 des nombres de classes d'ideaux des corps quadratiques $Q(\sqrt{2p})$ et $Q(\sqrt{-2p})$

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Über die Lösbarkeit der Gleichung $t^2-Du^2=-4$

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Q3094456

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Divisibility by 2-powers of certain quadratic class numbers

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The Number of Real Quadratic Fields Having Units of Negative Norm

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Q4152617

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Q5802218

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Q4652415

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Counting primitive points of bounded height

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Divisibility by 16 of class number of quadratic fields whose 2-class groups are cyclic

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Identifiers

zbMATH Open document ID

1443.11232

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DOI

10.1112/S0010437X18007601

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5227653