10 citations · 11 across the 7 of their papers we have counts for
7 papers
Erdős Distance Problem in
Esen Aksoy Yazici
In this paper, we prove Erdős distance conjecture in , namely, a set of points in determines distances, and for $d\ge…
Hamming Distances in Vector Spaces over Finite Fields
Esen Aksoy Yazici
Let be the finite field of order and , where . Using Fourier analytic techniques, we prove that if $|E|>\frac{q^{d-1}}{d}\binom{d}{…
Sum-Product Type Estimates over Finite Fields
Esen Aksoy Yazici
Let denote the finite field with elements where is a prime power. Using Fourier analytic tools with a third moment method, we obtain sum-product type est…
Pinned Distances in Modules over Finite Valuation Rings
Esen Aksoy Yazici
Let be a finite valuation ring of order where is odd and be a subset of . In the present paper, we prove that there exists a point in the Cartesian product…
Sum-Product Type Estimates for Subsets of Finite Valuation Rings
Esen Aksoy Yazici
Let be a finite valuation ring of order Using a point-plane incidence estimate in , we obtain sum-product type estimates for subsets of . In particular, we prove…
Growth Estimates in Positive Characteristic via Collisions
Esen Aksoy Yazici, Brendan Murphy, Misha Rudnev +1
Let be a field of characteristic and have sufficiently small cardinality in terms of . We improve the state of the art of a variety of sum-product type in…