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Integer points on elliptic curves

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Publication:5891878
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DOI10.1216/RMJ-2014-44-4-1377zbMath1311.11048MaRDI QIDQ5891878

Robert C. Vaughan

Publication date: 12 November 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1414760959

zbMATH Keywords

large sieveintegral points on elliptic curvesMordell equation


Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Counting solutions of Diophantine equations (11D45) Applications of sieve methods (11N36)


Related Items

Local and global well-posedness for a quadratic Schrödinger system on Zoll manifolds, Enumerative Galois theory for cubics and quartics



Cites Work

  • Unnamed Item
  • Unnamed Item
  • On Hilbert's irreducibility theorem
  • Equations over finite fields. An elementary approach
  • Rational points on finite covers of \({\mathbb P}^{1}\) and \({\mathbb P}^{2}\)
  • Plane curves in boxes and equal sums of two powers
  • The number of integral points on arcs and ovals
  • The Distribution of Galois Groups and Hilbert's Irreducibility Theorem
  • Integral points on elliptic curves and 3-torsion in class groups
  • The large sieve
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