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Size of regulators and consecutive square-free numbers

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Publication:1944829
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DOI10.1007/s00209-012-1035-7zbMath1320.11026OpenAlexW2143551211MaRDI QIDQ1944829

Florent Jouve, Étienne Fouvry

Publication date: 28 March 2013

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-012-1035-7

zbMATH Keywords

quadratic fieldsPell equationregulatorssquare sieve


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Gauss and Kloosterman sums; generalizations (11L05)


Related Items

On the size of the fundamental solution of the Pell equation, Approximation diophantienne et distribution locale sur une surface torique II, Height of rational points on quadratic twists of a given elliptic curve, Fundamental solutions to Pell equation with prescribed size



Cites Work

  • Unnamed Item
  • On the size of the fundamental solution of the Pell equation
  • Fundamental solutions to Pell equation with prescribed size
  • The square sieve 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.
  • Some Density Results for Negative Pell Equations; an Application of Graph Theory
  • ON A PROBLEM IN ADDITIVE ARITHMETIC (II)
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