Estimates of Some Functions Over Primes without R.H.

Details Estimates of Some Functions Over Primes without R.H. Estimates of Some Functions Over Primes without R.H.

2010-02-02

arxiv.org/abs/1002.0442v1

Mathematics

Number Theory

Scientific paper

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.

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