Smooth solutions to the \(abc\) equation: the \(xyz\) conjecture
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Publication:449701
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
Counting solutions of Diophantine equations (11D45) Distribution of integers with specified multiplicative constraints (11N25)
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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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