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Bounds on certain Higher-Dimensional Exponential Sums via the Self-Reducibility of the Weil Representation by Gurevich, Shamgar; Hadani, Ronny is a scholarly article available to read on EtoBox.

What is Bounds on certain Higher-Dimensional Exponential Sums via the Self-Reducibility of the Weil Representation about?

We describe a new method to bound certain higher-dimensional exponential sums which are associated with tori in symplectic groups over finite fields. Our method is based on the self-reducibility property of the Weil representation. As a result, we obtain a sharp form of the Hecke quantum unique ergodicity theorem for generic linear symplectomorphisms of the 2N-dimensional torus.

Author

Gurevich, Shamgar; Hadani, Ronny

Published

2006

Language

EN