<p>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 Erdős about a sum of reciprocals, and the small sieve of Erdős and Ruzsa.</p>

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The Schinzel-Szekeres function

  • Andreas Weingartner

摘要

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 Erdős about a sum of reciprocals, and the small sieve of Erdős and Ruzsa.