\begin{definition}[Definition:Quadratic Gauss Sum]
Let $p$ be an odd prime.
Let $a$ be an integer.
The '''quadratic Gauss sum''' is:
:$\ds \map g {a, p} = \sum_{n \mathop = 0}^{p - 1} e^{2 \pi i a n^2 / p}$
Category:Definitions/Number Theory
\end{definition}