Finiteness results for Diophantine triples with repdigit values

DOI10.4064/aa8089-12-2015zbMath1402.11013arXiv1502.05550OpenAlexW2963679013MaRDI QIDQ2787078

István Pink, Florian Luca, Volker Ziegler, Attila Bérczes

Publication date: 24 February 2016

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

Full work available at URL: https://arxiv.org/abs/1502.05550

zbMATH Keywords

repdigit numbersDiophantine sets

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Exponential Diophantine equations (11D61)

Uses Software

• Magma

Cites Work

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• On some polynomial values of repdigit numbers
• The Magma algebra system. I: The user language
• On the number of Diophantine \(m\)-tuples
• Diophantine quadruples in the sequence of shifted Tribonacci numbers
• Multiplicative relations on binary recurrences
• On an $S$-unit variant of Diophantine $m$-tuples
• A note on the number of $S$-Diophantine quadruples
• Tribonacci Diophantine quadruples
• Lucas Diophantine Triples
• Diophantine triples with values in binary recurrences
• Fibonacci Diophantine triples
• There are only finitely many Diophantine quintuples
• Diophantine triples and reduced quadruples with the Lucas sequence of recurrence un=Aun-1-un-2

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