Logarithmic integral function: Difference between revisions

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The logarithmic integral is important in [[number theory]], appearing in estimates of the number of [[prime number]]s less than a given value. For example, the [[prime number theorem]] states that:

:<math>\pi(x)\sim</math>~<math>\hbox{li}(x)\sim\hbox{Li}(x)</math>

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

== See also ==