S-Diophantine quadruples with S = {2, q}

DOI10.1142/S1793042115500475zbMath1364.11086arXiv1403.5876OpenAlexW2167347106MaRDI QIDQ5248581

Volker Ziegler, László Szalay

Publication date: 8 May 2015

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5876

zbMATH Keywords

Diophantine quadruples

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61)

Related Items (3)

Another 𝑆-unit variant of Diophantine tuples ⋮ Finding all \(S\)-Diophantine quadruples for a fixed set of primes \(S\) ⋮ A note on the number of $S$-Diophantine quadruples

Cites Work

• Complete solution of the polynomial version of a problem of Diophantus
• Linear forms in two logarithms and interpolation determinants
• On an $S$-unit variant of Diophantine $m$-tuples
• Fibonacci Diophantine triples
• On a problem of Diophantus for higher powers
• On the greatest prime factor of (𝑎𝑏+1)(𝑎𝑐+1)

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