Translated sum on primitive sequences and Erdos conjecture

被引：6
|
作者：
Laib, Ilias [1 ]
Derbal, Abdellah [1 ]
Mechik, Rachid [2 ]
机构：
[1] ENS Vieux Kouba, Lab Equat Derivees Partielles Non Lineaires, Dept Math, Algiers, Algeria
[2] Univ Sci & Technol Houari Boumed, Fac Math, Algiers, Algeria
来源：
COMPTES RENDUS MATHEMATIQUE | 2019年 / 357卷 / 05期
关键词：
D O I：
10.1016/j.crma.2019.05.005
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, we construct a set S of primitive sequences such that, for any real number x >= 81, we get Sigma(a is an element of A)1/(loga + x) > Sigma(p is an element of P)1/p(log p + x), A subset of S where P denotes the set of prime numbers. (C) 2019 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves.
引用
收藏
页码：413 / 417
页数：5
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