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arXiv · 2509.12570

Improved Average Bounds for an Inequality of Alladi, Erd\"os, and Vaaler

Cooper O'Kuhn
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Abstract

We prove an averaged version of a claim suspected to be true by Alladi, Erd\"os, and Vaaler. Qualitatively, the result states that a divisor sum of a multiplicative function, which obeys certain size constraints, derives most of its value from its "small" divisors.

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Cooper O'Kuhn. 2025-09-16. Improved Average Bounds for an Inequality of Alladi, Erd\"os, and Vaaler. https://arxiv.org/abs/2509.12570

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