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Diophantine equations of Pellian type

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Publication:548049
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DOI10.1016/j.jnt.2011.02.005zbMath1241.11030OpenAlexW2011084420MaRDI QIDQ548049

Franz Halter-Koch

Publication date: 27 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.02.005


zbMATH Keywords

continued fractionsDiophantine equations of Pellian typequartic orders


Mathematics Subject Classification ID

Quadratic extensions (11R11) Quadratic and bilinear Diophantine equations (11D09) Continued fractions (11A55)




Cites Work

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  • A propos des équations antipelliennes
  • The distance between ideals in the orders of a real quadratic field
  • Über Pell'sche Gleichungen und Kettenbrüche. (On Pell equations and continued fractions)
  • Infrastructure of ambiguous ideal classes of orders of real quadratic fields
  • Discriminantal divisors of binary quadratic forms
  • A Note on Jacobi Symbols and Continued Fractions
  • Legendre symbols and continued fractions
  • Jacobi symbols, ambiguous ideals, and continued fractions
  • Continued Fractions, Jacobi Symbols, and Quadratic Diophantine Equations
  • On the Norms of Units in Quadratic Fields




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