Note sur les lois locales conjointes de la fonction nombre de facteurs premiers

Note sur les lois locales conjointes de la fonction nombre de facteurs premiers

Let α∈]0,1] and let Qj(1⩽j⩽r) denote distinct irreducible polynomials with integer coefficients. We show that, for vectors with coordinates not exceeding a constant multiple of their mean, the joint local distribution of the number of prime factors of the Qj(n) for x

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Veröffentlicht in:Journal of number theory 2018-07, Vol.188, p.88-95
1. Verfasser: Tenenbaum, Gérald
Format: Artikel
Sprache:fre
Schlagworte:
Additive functions
Mathematics
Number of prime factors
Number Theory
Polynomial values
Shifted integers
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Zusammenfassung:Let α∈]0,1] and let Qj(1⩽j⩽r) denote distinct irreducible polynomials with integer coefficients. We show that, for vectors with coordinates not exceeding a constant multiple of their mean, the joint local distribution of the number of prime factors of the Qj(n) for x
ISSN:0022-314X
1096-1658
DOI:10.1016/j.jnt.2018.01.005