Explicit bounds for Buchstab's function

Andreas Weingartner

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arXiv · 2607.21883

Explicit bounds for Buchstab's function

Andreas Weingartner

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Abstract

Buchstab's function $\omega(u)$ describes the distribution of integers without small prime factors. We establish numerically explicit upper and lower bounds for $\omega(u)$ that are easy to evaluate, without the need to solve the delay differential equation numerically.

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Andreas Weingartner. 2026-07-24. Explicit bounds for Buchstab's function. https://arxiv.org/abs/2607.21883

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