IDENTITIES ARISING FROM GAUSS SUMS FOR SYMPLECTIC AND ORTHOGONAL GROUPS
Hi-joon Chae, Dae San Kim · Journal of the Korean Mathematical Society · 2010
We express Gauss sums for symplectic and orthogonal groups over finite fields as averages of exponential sums over certain maximal tori. Together with our previous results, we obtain some interesting identities involving various classical Gauss and Kloosterman sums.