The Schinzel-Szekeres function
Number Theory
2025-06-16 v2
Abstract
We derive asymptotic estimates for distribution functions related to the Schinzel-Szekeres function. These results are then used in three different applications: the longest simple path in the divisor graph, a problem of Erd\H{o}s about a sum of reciprocals, and the small sieve of Erd\H{o}s and Ruzsa.
Cite
@article{arxiv.2310.13038,
title = {The Schinzel-Szekeres function},
author = {Andreas Weingartner},
journal= {arXiv preprint arXiv:2310.13038},
year = {2025}
}
Comments
29 pages, 2 tables