Theoreme d'Erdos-Kac pour les translates d'entiers ayant k facteurs premiers

JOURNAL OF NUMBER THEORY

卷:210

Article

Goudout, Elie¹ 

[1] Univ Paris Diderot, Sorbonne Paris Cite, Inst Math Jussieu PRG, F-75013 Paris, France

关键词: Erdos-Kac theorem;    Shifted integers;   

DOI  :  10.1016/j.jnt.2019.09.012

来源: Elsevier

【 摘 要 】

Let x >= 3. For 1 <= n <= x an integer, let omega(n) be its number of distinct prime factors. We show that omega(n - 1) satisfies an Erdds-Kac type theorem whenever omega(n) = k where 1 <= k << log log x, thus extending a result of Halberstam. (C) 2019 Elsevier Inc. Tous droits reserves.

【 授权许可】

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