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math.CO2011
Geometric configurations in the ring of integers modulo
David Covert, Alex Iosevich, Jonathan Pakianathan
We study variants of the Erd\H os distance problem and dot products problem in the setting of the integers modulo , where is a power of an odd prime.
math.CO2011
On an application of Guth-Katz theorem
Alex Iosevich, Oliver Roche-Newton, Misha Rudnev
We prove that for some universal , a non-collinear set of points in the Euclidean plane determines at least distinct areas of triangles with…