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arXiv · 2402.13198

Un crible minorant effectif pour les entiers friables

Adrien Mounier
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Abstract

Let $\mathcal{A}$ be a finite set of positive integers and $y\geq 1$. We give an effective lower bound of the cardinality of the set $\{n\in\mathcal{A};\,p|n\Longrightarrow p\leq y\}$ under the condition of a good knowledge of the level of distribution of the set $\mathcal{A}$. Some consequences are studied: an application to the friable values of irreducible polynomials or binary forms with integer coefficients, and an application to shifted friable numbers.

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Adrien Mounier. 2024-02-20. Un crible minorant effectif pour les entiers friables. https://doi.org/10.4064/aa240514-8-4

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