# Category:Euler-Mascheroni Constant

This category contains results about the Euler-Mascheroni constant.
Definitions specific to this category can be found in Definitions/Euler-Mascheroni Constant.

The Euler-Mascheroni constant $\gamma$ is the real number that is defined as:

 $\ds \gamma$ $:=$ $\ds \lim_{n \mathop \to +\infty} \paren {\sum_{k \mathop = 1}^n \frac 1 k - \int_1^n \frac 1 x \rd x}$ $\ds$ $=$ $\ds \lim_{n \mathop \to +\infty} \paren {H_n - \ln n}$

where $H_n$ is the harmonic series and $\ln$ is the natural logarithm.

## Subcategories

This category has only the following subcategory.

## Pages in category "Euler-Mascheroni Constant"

The following 15 pages are in this category, out of 15 total.