Author: G. Elekes 1
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  • 1 Eötvös Loránd University Budapest Hungary Budapest Hungary
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Abstract  

We refine a method introduced in [1] and [2] for studying the number of distinct values taken by certain polynomials of two real variables on Cartesian products. We apply it to prove a "gap theorem", improving a recent lower bound on the number of distinct distances between two collinear point sets in the Euclidean space.

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