On exponential sums over orbits in $\mathbb{F}_p^d$

preprint2016arXivOpen access

This paper proves a bound for exponential sums over orbits of vectors in $\mathbb{F}_p^d$ under subgroups of $\rm{GL}_d(\mathbb{F}_p)$ . The main tool is a classification theorem for approximate groups due to Gill, Helfgott, Pyber, and Szabó.

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On exponential sums over orbits in $\mathbb{F}_p^d$

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On exponential sums over orbits in Fpd\mathbb{F}_p^dFpd​

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On exponential sums over orbits in $\mathbb{F}_p^d$