On a sum involving the prime counting function $\pi(x)$
Number Theory
2007-05-23 v1
Abstract
A sharp asymptotic formula for the sum of reciprocals of is derived, where is the number of primes not exceeding . This result improves the previous results of De Koninck--Ivi\'c and L. Panaitopol.
Keywords
Cite
@article{arxiv.math/0311498,
title = {On a sum involving the prime counting function $\pi(x)$},
author = {Aleksandar Ivić},
journal= {arXiv preprint arXiv:math/0311498},
year = {2007}
}
Comments
4 pages