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· 1946 · Proceedings of the National Academy of Sciences · DOI 10.1073/pnas.32.12.331

1 Pith paper cite this work, alongside 433 external citations. Polarity classification is still indexing.

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math.NT 1

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2026 1

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ACCEPT 1

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Large Sets of Integers with No Harmonic Triples

math.NT · 2026-07-07 · accept · novelty 6.0

The author proves f(N) ≫ N exp(−(2√(log(24/7))+o(1))√(log log N)) for the largest harmonic-triple-free subset of [N], matching the form of the best 3-AP-free lower bound with log N replaced by log log N.

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  • Large Sets of Integers with No Harmonic Triples math.NT · 2026-07-07 · accept · none · ref 1

    The author proves f(N) ≫ N exp(−(2√(log(24/7))+o(1))√(log log N)) for the largest harmonic-triple-free subset of [N], matching the form of the best 3-AP-free lower bound with log N replaced by log log N.