Logarithmic integral function: Difference between revisions

Content deleted Content added
No edit summary
No edit summary
Line 10:
The logarithmic integral is mainly important because it occurs in estimates of [[prime number]] densities, especially in the [[prime number theorem]].
 
The function li(''x'') is related to the ''integral exponential function'' or ''[[exponential integral]]'' Ei(''x'') via the equation
:li(''x'') = Ei (ln ''x'')    for all positive real ''x'' ≠ 1.
This leads to series expansions of li(''x''), for instance: