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arxiv: 1707.08268 · v2 · pith:MBCVMHAWnew · submitted 2017-07-26 · 🧮 math.NT

Incidence Results and Bounds of Trilinear and Quadrilinear Exponential Sums

classification 🧮 math.NT
keywords boundexponentialquadrilinearresultssumstrilineararbitrarybounds
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We give a new bound on the number of collinear triples for two arbitrary subsets of a finite field. This improves on existing results which rely on the Cauchy inequality. We then us this to provide a new bound on trilinear and quadrilinear exponential sums.

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