Improved Average Bounds for an Inequality of Alladi, Erdös, and Vaaler
arXiv:2509.12570
Abstract
We prove an averaged version of a claim suspected to be true by Alladi, Erdös, 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.
arXiv comment17 pages. Comments and suggestions are welcome!