Title of article
A double Mertens type evaluation
Author/Authors
Popa، نويسنده , , Dumitru، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2014
Pages
5
From page
1159
To page
1163
Abstract
We prove the formula ∑ p q ≤ x 1 p q = ( ln ( ln x ) + B ) 2 − ln 2 2 + 2 ∫ 0 + 0 1 2 ln ( 1 − x ) x d x + O ( ln ( ln x ) ln x ) , where B is the Mertens constant.
Keywords
Asymptotic results , Mertens type evaluations , Arithmetic functions
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2014
Journal title
Journal of Mathematical Analysis and Applications
Record number
1564035
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