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arxiv: 1606.03495 · v2 · pith:HYJIWIMUnew · submitted 2016-06-10 · 🧮 math.NT · math.CO· math.GR

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

classification 🧮 math.NT math.COmath.GR
keywords mathbbexponentialorbitssumsapproximateboundclassificationgill
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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 Szab\'o.

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