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
Dynabee

... inside it is going fast enough, for example after starting it with a short rip string or by a snap of the thumb, a person holding it in her hand can accelerate the ...

 
 
 
This page was created in 137.8 ms