Publication

Distinct distances on regular varieties over finite fields

Van Thang Pham
2017
Journal Articles

Abstract

In this paper we study some generalized versions of a recent result due to Covert, Koh, and Pi (2015). More precisely, we prove that if a subset in a regular variety satisfies vertical bar epsilon vertical bar >> q(d-1/2 + 1/k-1), then Delta(k,F)(epsilon) := {F(x(1) + ... + x(k)} : x(i) is an element of epsilon, 1

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Distinct distances on regular varieties over finite fields

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