3 citations · 4 across the 2 of their papers we have counts for
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Visible Points On Exponential Curves
Simon Macourt
We provide two new bounds on the number of visible points on exponential curves modulo a prime for all choices of primes. We also provide one new bound on the number of visible poi…
Incidence Results and Bounds of Trilinear and Quadrilinear Exponential Sums
Simon Macourt
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 u…
Bounds On Exponential Sums With Quadrinomials
Simon Macourt
We improve an existing result on exponential quadrilinear sums in the case of sums over multiplicative subgroups of a finite field and use it to give a new bound on exponential sum…
Multiplicative Energy of Shifted Subgroups and Bounds On Exponential Sums with Trinomials in Finite Fields
Simon Macourt, Ilya D. Shkredov, Igor E. Shparlinski
We give a new bound on colinear triples in subgroups of prime finite fields and use it to give some new bounds on exponential sums with trinomials.