On the subgroup generated by solutions of Pell's equation

DOI10.1016/j.jnt.2018.07.001zbMath1428.11056arXiv1609.00440OpenAlexW2963535226MaRDI QIDQ1788108

Mohammad Javaheri, Elena C. Covill, Nikolai A. Krylov

Publication date: 8 October 2018

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

Full work available at URL: https://arxiv.org/abs/1609.00440

zbMATH Keywords

continued fractionsPell's equationideal class groupreciprocity laws

Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Continued fractions (11A55) Class numbers, class groups, discriminants (11R29)

Cites Work

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• The group of primitive almost Pythagorean triples
• Arithmetic tales. Transl. from the French by Véronique Bordellès
• The group of quasi-Pythagorean primitive triples
• The prime divisors of Fibonacci numbers
• Fibonacci numbers and Fermat's last theorem
• What is a Reciprocity Law?

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