Logarithmic integral function: Difference between revisions

Revision as of 16:31, 18 November 2002

Revision as of 13:32, 19 November 2002

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The logarithmic integral is mainly important because it occurs in estimates of [[prime number]] densities, especially in the [[prime number theorem]]:

:π(''x'') ~ liLi(''x'')

where π(''x'') denotes the number of primes smaller than or equal to ''x''.