G. Petridis

activity

20182020

most citedAn example related to the Erdos-Falconer question over arbitrary finite fields

9 citations · 9 across the 1 of their papers we have counts for

collaborators

4 papers

math.CO2020

Bounds of Trilinear and Trinomial Exponential Sums

Simon Macourt, Giorgis Petridis, Ilya D. Shkredov +1

We prove, for a sufficiently small subset $A$ of a prime residue field, an estimate on the number of solutions to the equation $(a_{1} - a_{2}) (a_{3} - a_{4}) = (a_{5} - a_{6}) (a_{7} - a_{8})$ w…

math.CO2019★ 9 cited

An example related to the Erdos-Falconer question over arbitrary finite fields

Brendan Murphy, Giorgis Petridis

There exists an infinite family of examples of subsets of $F_{q}^{2}$ with $q^{4/3}$ elements whose distance sets are not the whole of $F_{q}$ .

math.NT2019

Refined Estimates Concerning Sumsets Contained in the Roots of Unity

Brandon Hanson, Giorgis Petridis

We prove that the clique number of the Paley graph is at most $p /2 + 1$ , and that any supposed additive decompositions of the set of quadratic residues can only come from co…

math.CO2018

Bisectors and pinned distances

Ben Lund, Giorgis Petridis

We prove, under suitable conditions, a lower bound on the number of pinned distances determined by small subsets of two-dimensional vector spaces over fields. For finite subsets of…