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Rational \(D(q)\)-quadruples

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Publication:2076520
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DOI10.1016/j.indag.2021.09.009zbMath1493.11066arXiv2002.02006OpenAlexW3207084938MaRDI QIDQ2076520

Goran Dražić, Matija Kazalicki

Publication date: 22 February 2022

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.02006


zbMATH Keywords

elliptic curvesDiophantine quadruplesDiophantine \(n\)-tuplesrational Diophantine \(n\)-tuples


Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Elliptic curves over global fields (11G05)


Related Items

Divisibility by 2 on quartic models of elliptic curves and rational Diophantine \(D(q)\)-quintuples


Uses Software

  • Magma


Cites Work

  • Unnamed Item
  • On a problem of Diophantus for rationals
  • The Magma algebra system. I: The user language
  • Diophantine \(m\)-tuples in finite fields and modular forms
  • Mathematics of Public Key Cryptography
  • The Arithmetic of Elliptic Curves
  • There are only finitely many Diophantine quintuples
  • More on Diophantine Sextuples
  • There Are Infinitely Many Rational Diophantine Sextuples
  • There is no Diophantine quintuple
  • Some rational Diophantine sextuples
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