A note on numbers of the form \(n=x^ 2+Ny^ 2\)

DOI10.1007/BF01193914zbMath0524.10009MaRDI QIDQ585260

Gerhard Rosenberger, Gabriele Kern-Isberner

Publication date: 1984

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

sums of squaresHecke groupsquadratic formsclass numbersrepresentation of integersquadratic residuescongruence subgroups of modular groupRiemann-Hurwitz relation

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Structure of modular groups and generalizations; arithmetic groups (11F06) Linear Diophantine equations (11D04) Representation problems (11D85)

Related Items (1)

On numbers of the form \(n=x^2+Ny^2\) and the Hecke groups \(\mathcal H(\sqrt N)\)

Cites Work

• A Note on the Two-Square Theorem
• On the Commensurability Class of the Rational Modular Group
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung
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