Encyclopedia > Offset logarithmic integral

  Article Content

Offset logarithmic integral

The offset logarithmic integral is a non-elementary function Li(x) very similar to the logarithmic integral function li(x), defined such that:

Li(x) = li(x) - li(2).

Explicitly, this means

<math> {\rm Li} (x) = \int_{2}^{x} \frac{dt}{\ln (t)} \; . </math>

It is often used in formulations of the prime number theorem.



All Wikipedia text is available under the terms of the GNU Free Documentation License

 
  Search Encyclopedia

Search over one million articles, find something about almost anything!
 
 
  
  Featured Article
French resistance

... resistance could claim its origin a Charles de Gaulle’s Appeal of June 18 in BBC where he proclaimed that the war was not over. Marshal Henri-Philippe Petain had already ...

 
 
 
This page was created in 22.5 ms