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Fundamental solutions to Pell equation with prescribed size

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Publication:741972
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DOI10.1134/S0081543812010051zbMath1309.11023MaRDI QIDQ741972

Étienne Fouvry, Florent Jouve

Publication date: 17 September 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)


zbMATH Keywords

fundamental solutionPell equation


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09)


Related Items (3)

Size of regulators and consecutive square-free numbers ⋮ Approximation diophantienne et distribution locale sur une surface torique II ⋮ Counting fundamental solutions to the Pell equation with prescribed size



Cites Work

  • On the size of the fundamental solution of the Pell equation
  • Size of regulators and consecutive square-free numbers
  • A positive density of fundamental discriminants with large regulator
  • On the Pellian equation and the class number of indefinite binary quadratic forms.
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