Logarithmic integral function: Difference between revisions

Revision as of 20:01, 25 August 2019

Revision as of 07:52, 7 September 2019

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where <math>\pi(x)</math> denotes the number of primes smaller than or equal to <math>x</math>.

Assuming the [[Riemann's hypothesis]], we get the even stronger:<ref>Abramowitz and Stegun, p.&nbsp;230, 5.1.20</ref>

:<math>\operatorname{Li}(x)-\pi(x) = O(\sqrt{x}\log x)</math>