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arXiv · 1002.0442

Estimates of Some Functions Over Primes without R.H.

Pierre Dusart
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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.

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Pierre Dusart. 2010-02-02. Estimates of Some Functions Over Primes without R.H.. https://arxiv.org/abs/1002.0442

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