52 citations · 208 across the 22 of their papers we have counts for
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math.CO2019★ 2 cited
An Energy Bound in the Affine Group
Giorgis Petridis, Oliver Roche-Newton, Misha Rudnev +1
We prove a nontrivial energy bound for a finite set of affine transformations over a general field and discuss a number of implications. These include new bounds on growth in the a…
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 with elements whose distance sets are not the whole of .
math.NT2019★ 30 cited
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 , and that any supposed additive decompositions of the set of quadratic residues can only come from co…