On the 3-rank of quadratic fields with prime or almost prime discriminant

DOI10.1215/S0012-7094-99-09807-1zbMath1061.11503MaRDI QIDQ1974924

Karim Belabas, Étienne Fouvry

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (11)

On the Davenport-Heilbronn theorems and second order terms ⋮ Secondary terms in counting functions for cubic fields ⋮ Real quadratic fields with odd class number divisible by 3 ⋮ Divisibility criteria for class numbers of imaginary quadratic fields whose discriminant has only two prime factors ⋮ Divisibility of class numbers of imaginary quadratic fields whose discriminant has only two prime factors ⋮ DISCRIMINANTS CUBIQUES ET PROGRESSIONS ARITHMÉTIQUES ⋮ Sur les propriétés de divisibilité des nombres de classes des corps quadratiques ⋮ Levels of distribution for sieve problems in prehomogeneous vector spaces ⋮ Galois groups via Atkin-Lehner twists ⋮ Le problème de Tchébychev pour le douzième polynôme cyclotomique ⋮ The number of ramified primes in number fields of small degree

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transformation de Fourier et majoration de sommes exponentielles. (Fourier transformation and majoration of exponential sums.)
• Sieve and 3-rank of quadratic fields
• Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957--58
• Rosser's sieve
• On the Density of Discriminants of Cubic Fields
• On the density of discriminants of cubic fields. II
• On a Principle of Lipschitz
• On the Class-Number of Binary Cubic Forms (I)

This page was built for publication: On the 3-rank of quadratic fields with prime or almost prime discriminant