A double Mertens type evaluation

作者：Popa Dumitru^*

来源：Journal of Mathematical Analysis and Applications, 2014, 409(2): 1159-1163.

DOI：10.1016/j.jmaa.2013.07.058

• Arithmetic functions
• Asymptotic results
• Mertens type evaluations

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.

• 出版日期2014-1-15