Some results connected with the class number problem in real quadratic fields

DOI10.1007/s10114-005-0544-2zbMath1113.11064OpenAlexW2090436455MaRDI QIDQ2581247

Jarosław Grytczuk, Aleksander Grytczuk

Publication date: 9 January 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0544-2

zbMATH Keywords

Legendre symbolClass numberQuadratic field

Mathematics Subject Classification ID

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

Cites Work

• Diophantine equations and class numbers of real quadratic fields
• On the Insolubility of a Class of Diophantine Equations and the Nontriviality of the Class Numbers of Related Real Quadratic Fields of Richaud-Degert Type
• Lower Bounds for Class Numbers of Real Quadratic Fields
• A Conjecture of S. Chowla Via the Generalized Riemann Hypothesis
• Necessary and Sufficient Conditions for the Class Number of a Real Quadratic Field to be One, and a Conjecture of S. Chowla
• Class numbers and quadratic residues
• Chowla's conjecture
• Diophantine equations and class numbers
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