Logarithmic integral function: Difference between revisions

Revision as of 18:16, 17 December 2018

Revision as of 03:25, 28 January 2019

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

{{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 a given value <math>x</math>. [[Image:Logarithmic integral function.svg|thumb|right|300px|Logarithmic integral function plot]]