Logarithmic integral function: Difference between revisions

Revision as of 05:16, 11 October 2011

Revision as of 14:13, 28 October 2011

Line 79:

The logarithmic integral is important in [[number theory]], appearing in estimates of the number of [[prime number]]s less than a given value. For example, the [[prime number theorem]] states that:

:<math>\pi(x)</math>~<math>\hboxsim\operatorname{li}(x)</math>

where <math>\pi(x)</math> denotes the number of primes smaller than or equal to <math>x</math>.