A NOTE ON POWERFUL NUMBERS IN SHORT INTERVALS

DOI10.1017/s0004972722000995zbMath1530.11073arXiv2207.08874OpenAlexW4296628486MaRDI QIDQ6093248

Tsz Ho Chan

Publication date: 6 September 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.08874

zbMATH Keywords

\(abc\)-conjecturepowerful numbersBrun-Titchmarsh inequalityRoth's theorem on arithmetic progressions

Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25)

Related Items (1)

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Cites Work

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• The number of cubefull numbers in an interval (supplement)
• LATTICE POINTS CLOSE TO A SMOOTH CURVE AND SQUAREFULL NUMBERS IN SHORT INTERVALS
• A Brun-Titschmarsh theorem for multiplicative functions.
• Powerful numbers in short intervals
• Logarithmic bounds for Roth's theorem via almost-periodicity
• On a theorem of Erdős and Szekeres

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