AN UPPER BOUND FOR THE NUMBER OF DIOPHANTINE QUINTUPLES

DOI10.1017/S0004972716000423zbMath1419.11052MaRDI QIDQ2976268

Marija Bliznac, Alan Filipin

Publication date: 28 April 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Pell equationsdiophantine \(m\)-tuples

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Counting solutions of Diophantine equations (11D45) Linear forms in logarithms; Baker's method (11J86)

Related Items (3)

Extension of a Diophantine triple with the property \(D(4)\) ⋮ On the average number of divisors of reducible quadratic polynomials ⋮ Nonexistence of \(D(4)\)-quintuples

Cites Work

• There are only finitely many \(D(4)\)-quintuples
• On the size of sets in which \(xy + 4\) is always a square
• Bounds on the number of Diophantine quintuples
• ON THE NUMBER OF DIVISORS OF
• The Hilbert polynomial and linear forms in the logarithms of algebraic numbers
• Further remarks on Diophantine quintuples
• An irregular D(4)-quadruple cannot be extended to a quintuple

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