Gauss’ class number problem for imaginary quadratic fields

Dorian Goldfeld

Type: Article

Publication Date: 1985-01-01

Citations: 117

DOI: https://doi.org/10.1090/s0273-0979-1985-15352-2

Abstract

a result first proved by Heilbronn [H] in 1934. The Disquisitiones also contains tables of binary quadratic forms with small class numbers (actually tables of imaginary quadratic fields of small class number with even discriminant which is a much easier problem to deal with) and Gauss conjectured that his tables were complete. In modern parlance, we can rewrite Gauss’ tables (we are including both even and odd discriminants) in the following form.

Locations

CiteSeer X (The Pennsylvania State University) - View - PDF
Project Euclid (Cornell University) - View - PDF
Bulletin of the American Mathematical Society - View - PDF

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