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On a class of insoluble binary quadratic diophantine equations

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Publication:3988500
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DOI10.1017/S002776300000369XzbMath0745.11019OpenAlexW1536296896MaRDI QIDQ3988500

Franz Halter-Koch

Publication date: 28 June 1992

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s002776300000369x


zbMATH Keywords

continued fractionsRichaud-Degert typequadratic ordersnorm equationreduced idealsbinary quadratic Diophantine equations


Mathematics Subject Classification ID

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


Related Items (1)

Asymptotic behaviors of class number sums associated with Pell-type equations



Cites Work

  • 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
  • On the diophantine equationx2−py2= ± 4qand the class number of real subfields of a cyclotomic field


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