On the order of magnitude of some arithmetical functions under digital constraint I

被引：0

作者：

KARAM ALOUI

机构：

[1] Institut de Mathématiques de Marseille UMR 7373 CNRS,Université d’Aix

来源：

Proceedings - Mathematical Sciences | 2015年 / 125卷

关键词：

Sum of digits function; multiplicative functions; 11N37; 11N60; 11N69;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let q≥2 be an integer and let Sq(n) denote the sum of the digits in base q of the positive integer n. We look for an estimate of the average of some multiplicative arithmetical functions under constraints on the arithmetical congruence of the integers and the sum of their digits.

引用

页码：457 / 476

页数：19

共 9 条

[1] Bésineau J(1972)Indépendance statistique d’ensembles liés à la fonction ”somme des chiffres” Acta Arithmetica 20 401-416
[2] Delange H(1972)Sur les fonctions q-additives ou q-multiplicatives Acta Arithmetica 21 285-298
[3] Drmota M(2009)Primes with an average sum of digits Compositio Mathematica 145 271-292
[4] Mauduit C(1968)Sur les nombres qui ont des propriétés additives et multiplicatives données Acta Arithmetica 13 259-265
[5] Rivat J(1975)Euler constants for arithmetical progressions Acta Arithmetica 27 125-142
[6] Gelfond AO(2014)On the number of restricted prime factors of an integer Acta Mathematica Hungarica 143 88-95
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