On fundamental units of real quadratic fields of class number 1

DOI10.1007/s00013-019-01355-0zbMath1443.11231OpenAlexW2954255156MaRDI QIDQ2274004

Andrej Dujella, Florian Luca

Publication date: 19 September 2019

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

Full work available at URL: http://hdl.handle.net/21.11116/0000-0004-C5A0-8

zbMATH Keywords

class numberquadratic fieldscontinued fractions

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Class numbers, class groups, discriminants (11R29)

Cites Work

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• Continued fractions and real quadratic fields
• The class number one problem for the real quadratic fields $\mathbb {Q}(\sqrt {(an)^2+4a})$
• Continued fractions and RSA with small secret exponent
• Yokoi's conjecture
• Chowla's conjecture
• A family of quartic Thue inequalities

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