A double Mertens type evaluation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:409

Article

Popa, Dumitru

关键词: Arithmetic functions;    Asymptotic results;    Mertens type evaluations;   

DOI  :  10.1016/j.jmaa.2013.07.058

来源: Elsevier

【 摘 要 】

We prove the formula Sigma(pq <= x) 1/pq = (In(Inx) + B)(2) - In-2 2 + 2 integral(1/2)(0+0) In(1 - x)/xdx + O (In(Inx)/Inx), where B is the Mertens constant. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free