1985/01/01 by Dorian Goldfeld · 3 citations
Mathematics · #Analytic Number Theory Research #Algebraic Geometry and Number Theory #Advanced Mathematical Identities #The Imaginary #Gauss #Mathematics #Quadratic equation #Class (philosophy) #Quadratic Gauss sum #Mathematical analysis #Applied mathematics #Pure mathematics #Physics #Computer science #Geometry #Artificial intelligence #Quantum mechanics
paper · pdf · doi:10.1090/s0273-0979-1985-15352-2
openalex publication_date 1985/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/07
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.