Estimates of Some Functions Over Primes without R.H.
Number Theory
2010-02-03 v1
Abstract
Some computations made about the Riemann Hypothesis and in particular, the verification that zeroes of zeta belong on the critical line and the extension of zero-free region are useful to get better effective estimates of number theory classical functions which are closely linked to zeta zeroes like psi(x), theta(x), pi(x) or the k-th prime number.
Keywords
Cite
@article{arxiv.1002.0442,
title = {Estimates of Some Functions Over Primes without R.H.},
author = {Pierre Dusart},
journal= {arXiv preprint arXiv:1002.0442},
year = {2010}
}