The trace $t$ of a random element of a Sato-Tate group $G$ can be viewed as a random variable whose distribution is given by the pushforward of the Haar measure on $G$ under the trace map.

The **$n$th moment** $\mathrm{M}_n[t]:= \mathrm{E}[t^n]$ of $t$ is the expected value of the $n$th power of the trace, and it is necessarily an integer.

**Authors:**

**Knowl status:**

- Review status: reviewed
- Last edited by Kiran S. Kedlaya on 2019-04-20 14:05:03

**Referred to by:**

**History:**(expand/hide all)

**Differences**(show/hide)