Incidence Results and Bounds of Trilinear and Quadrilinear Exponential\n Sums

2017/07/25 by Simon Macourt, Macourt, Simon
Mathematics · #11L07 (Primary) #11T23 (Secondary) #Analytic Number Theory Research #FOS: Mathematics #Graph theory and applications #Limits and Structures in Graph Theory #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1707.08268

openalex publication_date 2017/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new bound on the number of collinear triples for two arbitrary\nsubsets of a finite field. This improves on existing results which rely on the\nCauchy inequality. We then us this to provide a new bound on trilinear and\nquadrilinear exponential sums.\n

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