On Diophantine quintuples

DOI10.4064/AA-81-1-69-79zbMath0871.11019OpenAlexW317173286MaRDI QIDQ4345848

Andrej Dujella

Publication date: 30 July 1997

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/207056

zbMATH Keywords

perfect squarequadratic diophantine equationsdiophantine quadruplesdiophantine quintuple

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Diophantine equations (11D99)

Related Items (19)

Divisibility by 2 on quartic models of elliptic curves and rational Diophantine \(D(q)\)-quintuples ⋮ More on Diophantine Sextuples ⋮ High-rank elliptic curves with given torsion group and some applications ⋮ On the rank of elliptic curves coming from rational Diophantine triples ⋮ On a problem of Diophantus for rationals ⋮ Diophantine quadruples and near-Diophantine quintuples from P3,K sequences ⋮ Diophantine \(m\)-tuples in finite fields and modular forms ⋮ There does not exist a \(D(4)\)-sextuple ⋮ On Fermat's quadruple equations ⋮ \(D(n)\)-quintuples with square elements ⋮ Diophantine triples and construction of high-rank elliptic curves over \(\mathbb{Q}\) with three nontrivial 2-torsion points ⋮ The Paley graph conjecture and Diophantine \(m\)-tuples ⋮ On the number of divisors which are values of a polynomial ⋮ Rational Diophantine sextuples with mixed signs ⋮ Diophantine \(m\)-tuples and elliptic curves ⋮ Diagonal genus 5 curves, elliptic curves over $\mathbb {Q}(t)$, and rational diophantine quintuples ⋮ On the largest element in \(D(n)\)-quadruples ⋮ Irregular Diophantine \(m\)-tuples and elliptic curves of high rank ⋮ On elliptic curves induced by rational Diophantine quadruples

This page was built for publication: On Diophantine quintuples