Logarithmic integral function: Difference between revisions

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{{Redirect|Li(x)|the polylogarithm denoted by Li_''s''(''z'')|Polylogarithm}}

{{Use American English|date = January 2019}}

In [[mathematics]], the '''logarithmic integral function''' or '''integral logarithm''' li(''x'') is a [[special function]]. It is relevant in problems of [[physics]] and has [[number theory|number theoretic]] significance. In particular, according to the [[Siegel–WalfiszPrime number theorem]] it is a very good [[approximation]] to the [[prime-counting function]], which is defined as the number of [[prime numbers]] less than or equal to a given value <math>x</math>. [[Image:Logarithmic integral function.svg|thumb|right|300px|Logarithmic integral function plot]]

==Integral representation==