Shifted products that are coprime pure powers

DOI10.1016/j.jcta.2004.11.006zbMath1131.11013OpenAlexW2077717149MaRDI QIDQ2484505

Katalin Gyarmati, Rainer Dietmann, Christian Elsholtz, Miklós Simmonovits

Publication date: 1 August 2005

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2004.11.006

zbMATH Keywords

Diophantine \(m\)-tuples\(abc\) conjectureapplications of extremal graph theory to number theory

Mathematics Subject Classification ID

Paths and cycles (05C38) Other combinatorial number theory (11B75) Ramsey theory (05D10) Diophantine equations (11D99)

Related Items (5)

On the number of Diophantine \(m\)-tuples ⋮ On sets of integers whose shifted products are powers ⋮ A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS FOR PURE POWERS ⋮ Embedding Graphs into Larger Graphs: Results, Methods, and Problems ⋮ The Paley graph conjecture and Diophantine \(m\)-tuples

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