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Samuel Erau (talk | contribs) Fixed obvious error in definition of prime counting function |
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{{Use American English|date = January 2019}}
{{Redirect|Li(x)|the polylogarithm|Polylogarithm}}
{{Short description|Special function defined by an integral}}
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-Walfisz 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]]
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