Further remarks on Diophantine quintuples

DOI10.4064/aa168-3-1zbMath1347.11028OpenAlexW2325484043MaRDI QIDQ5247625

Mihai Cipu

Publication date: 24 April 2015

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

Full work available at URL: https://doi.org/10.4064/aa168-3-1

zbMATH Keywords

Diophantine \(m\)-tupleslinear forms in logarithmsPell equations

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Recurrences (11B37) Counting solutions of Diophantine equations (11D45) Linear forms in logarithms; Baker's method (11J86)

Related Items

The extensibility of the \(D(\pm k)\)-triple \(\{k\mp 1,k, 4k\mp 1\}\), The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple, On the least square-free primitive root modulo \(p\), Searching for Diophantine quintuples, Diophantine quintuples containing triples of the first kind, Extensions of a Diophantine triple by adjoining smaller elements, On the average number of divisors of reducible quadratic polynomials, The regularity of Diophantine quadruples, On the number of extensions of a Diophantine triple, AN UPPER BOUND FOR THE NUMBER OF DIOPHANTINE QUINTUPLES, There is no Diophantine quintuple, Two-parameter families of uniquely extendable Diophantine triples, ON THE NUMBER OF DIVISORS OF, Diophantine pairs that induce certain Diophantine triples, Bounds on the number of Diophantine quintuples, Explicit upper bounds on the least primitive root, An infinite two-parameter family of Diophantine triples, Explicit average orders: news and problems

Uses Software

• PARI/GP

Cites Work

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