Logarithmic integral function: Difference between revisions

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