An irregular D(4)-quadruple cannot be extended to a quintuple

DOI10.4064/aa136-2-5zbMath1228.11036OpenAlexW1971625356MaRDI QIDQ5503727

Alan Filipin

Publication date: 16 January 2009

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

Full work available at URL: https://doi.org/10.4064/aa136-2-5

zbMATH Keywords

Diophantine \(m\)-tuples

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Counting solutions of Diophantine equations (11D45)

Related Items (6)

Extension of a Diophantine triple with the property \(D(4)\) ⋮ On the average number of divisors of reducible quadratic polynomials ⋮ AN UPPER BOUND FOR THE NUMBER OF DIOPHANTINE QUINTUPLES ⋮ There are only finitely many \(D(4)\)-quintuples ⋮ Two-parameter families of uniquely extendable Diophantine triples ⋮ Nonexistence of \(D(4)\)-quintuples

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