Mathematics > Number Theory
arXiv:2606.07785 (math)
[Submitted on 5 Jun 2026 (v1), last revised 11 Jun 2026 (this version, v2)]
Abstract:We establish numerically explicit upper and lower bounds for Dickman's function $\rho(u)$, resulting in estimates with a relative error of less than $0.005/u^2$ for all $u\ge 5$. This allows for an approximate evaluation of $\rho(u)$ without the need to solve the delay differential equation numerically.
Submission history
From: Andreas Weingartner [view email]
[v1]
Fri, 5 Jun 2026 18:55:16 UTC (41 KB)
[v2]
Thu, 11 Jun 2026 22:10:23 UTC (41 KB)
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