Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture

DOI10.5802/jtnb.757zbMath1270.11032arXiv0911.4147OpenAlexW2964115536WikidataQ123312263 ScholiaQ123312263MaRDI QIDQ449701

Jeffrey C. Lagarias, Kannan Soundararajan

Publication date: 31 August 2012

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4147

zbMATH Keywords

\(abc\) conjecture

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Distribution of integers with specified multiplicative constraints (11N25)

Related Items

Smooth Neighbors ⋮ Minor arcs, mean values, and restriction theory for exponential sums over smooth numbers ⋮ Densité des friables ⋮ On the abc$abc$ conjecture in algebraic number fields ⋮ Sur les solutions friables de l'équation a+b=c ⋮ Averaged forms of two conjectures of Erdős and Pomerance, and their applications

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