Divisor function inequalities, entropy, and the chance of being below average

DOI10.1017/S0305004117000147zbMath1405.11127arXiv1509.04331MaRDI QIDQ5372077

Zarathustra Brady

Publication date: 24 October 2017

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04331

zbMATH Keywords

entropygeometric distributionsums over divisors

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)

Uses Software

• MathOverflow

Cites Work

• Nonnegative \(k\)-sums, fractional covers, and probability of small deviations
• Inequalities for divisor functions
• Divisor weighted sums
• An inequality for multiplicative functions
• A linear programming approach to the Manickam-Miklós-Singhi conjecture
• A New Proof of a Theorem of Van Der Corput
• A New Proof of a Theorem of Van Der Corput
• Unnamed Item

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