The Schinzel-Szekeres function
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 Ruzs...
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Sprache: | eng |
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Zusammenfassung: | 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. |
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DOI: | 10.48550/arxiv.2310.13038 |