52 citations · 208 across the 22 of their papers we have counts for
5 papers · 1 filter
Collinear triples and quadruples for Cartesian products in
Giorgis Petridis
In this ote, which has been absorbed by arXiv1702.01003, we combine a recent point-line incidence bound of Stevens and de Zeeuw with an older lemma of Bourgain, Katz and Tao to bou…
Pinned algebraic distances determined by Cartesian products in
Giorgis Petridis
Let be an odd prime and be a subset of the finite field with elements. We show that determines at least a c…
Bounds on trilinear and quadrilinear exponential sums
Giorgis Petridis, Igor E. Shparlinski
We use an estimate of Aksoy Yazici, Murphy, Rudnev and Shkredov (2016) on the number of solutions of certain equations involving products and differences of sets in prime finite fi…
A point-line incidence identity in finite fields, and applications
Brendan Murphy, Giorgis Petridis
Let be a set in the 2-dimensional vector space over a finite field with elements. We prove an identity for the second moment of its incidence funct…
Products of Differences in Prime Order Finite Fields
Giorgis Petridis
There exists an absolute constant with the following property. Let be a set in the prime order finite field with elements. Suppose that $|A| > C…