Revision as of 16:41, 15 December 2017 edit WereSpielChequers (talk \| contribs) Bureaucrats, Administrators 352,609 edits m →Offset logarithmic integral: Typo fixing, replaced: than than → than using AWB ← Previous edit		Revision as of 15:38, 9 March 2018 edit undo David9550 (talk \| contribs) 342 edits rewrote since being a good approximation to the prime-counting function is a property of the logarithmic integral function in general, not of the offset logarithmic integral function in particular Next edit →
Line 1: 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, ~~occurring~~according into the [[~~prime number~~Siegel-Walfisz theorem]] asit is a very angood [[~~Approximation\|estimate~~approximation]] ofto the [[prime-counting function]], which is defined as the number of [[prime ~~number~~numbers]]s less than a given value <math>x</math>. [[Image:Logarithmic integral function.svg\|thumb\|right\|300px\|Logarithmic integral function plot]] ~~[[Image:Logarithmic integral function.svg\|thumb\|right\|300px\|Logarithmic integral function plot]]~~ ==Integral representation== Line 19 ⟶ 18: As such, the integral representation has the advantage of avoiding the singularity in the ___domain of integration. ~~This function is a very good approximation to the [[prime-counting function]], which is defined as the number of prime numbers less than a given {{math\|x}}.~~ ==Special values==

Logarithmic integral function: Difference between revisions