Revision as of 02:25, 16 June 2013 edit Cashthischeck (talk \| contribs) 133 edits m →Number theoretic significance: Li(x) = li(x) - li(2) is implicated in PNT ← Previous edit		Revision as of 06:41, 15 October 2013 edit undo David Eppstein (talk \| contribs) Autopatrolled, Administrators 235,633 edits →Infinite logarithmic integral: remove section consisting only of an out-of-context formula and a reference — not helpful Next edit →
Line 70: Note that, as an asymptotic expansion, this series is [[divergent series\|not convergent]]: it is a reasonable approximation only if the series is truncated at a finite number of terms, and only large values of ''x'' are employed. This expansion follows directly from the asymptotic expansion for the [[exponential integral]]. ~~== Infinite logarithmic integral ==~~ ~~{{Clarify\|date=November 2009}}:<math>\int_{-\infty}^\infty \frac{M(t)}{1+t^2}dt</math>~~ ~~and discussed in Paul Koosis, ''The Logarithmic Integral'',~~ ~~volumes I and II, Cambridge University Press, second edition, 1998.~~ ==Number theoretic significance==

Logarithmic integral function: Difference between revisions