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Diophantine equations and class numbers of real quadratic fields

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Publication:2717603
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DOI10.4064/aa97-4-2zbMath1014.11069OpenAlexW2037500980MaRDI QIDQ2717603

Zhen Fu Cao, Xiao-lei Dong

Publication date: 17 June 2001

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa97-4-2

zbMATH Keywords

class numberreal quadratic fielddivisibilityPell's equationLucas sequenceconvergenthigher degree Diophantine equationcryptographic problem


Mathematics Subject Classification ID

Quadratic extensions (11R11) Class numbers, class groups, discriminants (11R29) Higher degree equations; Fermat's equation (11D41)


Related Items

New designing of cryptosystems based on quadratic fields, A new conjecture concerning the Diophantine equation \(x^2+b^y=c^z\)., Some results connected with the class number problem in real quadratic fields



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