The role of modular functions in a class-number problem

DOI10.1016/0022-314X(69)90044-4zbMath0198.07402MaRDI QIDQ2540307

H. M. Stark

Publication date: 1969

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

class number onecomplex quadratic fieldsidentities in modular functions

Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29)

Related Items (7)

Applications of the theory of modular forms to number theory ⋮ A spectral proof of class number one ⋮ Zur Theorie der Ringklassenkörper über imaginär-quadratischen Zahlkörpern ⋮ Arithmetic on algebraic varieties ⋮ Bestimmung aller imaginär-quadratischen Zahlkörper der Klassenzahl Eins mit Hilfe eines Satzes von Baker ⋮ Values of \(L\)-functions at \(s=1\). I: \(L\)-functions for quadratic forms ⋮ CLASS NUMBER ONE FROM ANALYTIC RANK TWO

Cites Work

• A complete determination of the complex quadratic fields of class-number one
• On the proof of Stark's theorem
• On the `gap' in a theorem of Heegner
• Diophantine analysis and modular forms
• L-functions and character sums for quadratic forms (II)

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