On real quadratic fields

DOI10.1090/S0273-0979-1987-15571-6zbMath0635.12003MaRDI QIDQ3773966

Gilles Lachaud

Publication date: 1987

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

discriminantreal quadratic fieldsclass number onecaliberintegrals of Eisenstein seriesnumber of reduced integral binary quadratic forms

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic forms over global rings and fields (11E12) Class numbers, class groups, discriminants (11R29) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (5)

Arithmetic, Geometry, and Coding Theory: Homage to Gilles Lachaud ⋮ Construction of positive integers with even period of minimal type ⋮ Continued fractions and certain real quadratic fields of minimal type ⋮ Caliber number of real quadratic fields ⋮ Quadratic extensions of the rational field, the Gauss field or the field of cubic roots of unity of caliber 1

Cites Work

• Séries d'Eisenstein, intégrales toroïdales et une formule de Hecke. (Eisenstein series, toroidal integrals and a formula of Hecke)
• A Kronecker limit formula for real quadratic fields
• Some remarks on L-functions and class numbers
• On Epstein's Zeta-function.
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