中文

On a sum involving the prime counting function $\pi(x)$

数论 2007-05-23 v1

摘要

A sharp asymptotic formula for the sum of reciprocals of π(n)\pi(n) is derived, where π(x)\pi(x) is the number of primes not exceeding xx. This result improves the previous results of De Koninck--Ivi\'c and L. Panaitopol.

关键词

引用

@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}
}

备注

4 pages