Local Differences Determined by Convex Sets

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2023Embargo end date: 01 Jan 2023Publisher:ZenodoFunded by:FCT | D4, FWF | Sums, Products, and Growt...

Authors: Bhowmick, Krishnendu; Patry, Miriam; Roche-Newton, Oliver;

doi: 10.5281/zenodo.8349092 , 10.5281/zenodo.8349093 , 10.48550/arxiv.2304.00888

arXiv: 2304.00888

Local Differences Determined by Convex Sets

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Abstract

This paper introduces a new problem concerning additive properties of convex sets. Let $S= \{s_1 < \dots

9 pages

Related Organizations

Austrian Academy of Sciences
Austria
Johannes Kepler University of Linz
Austria
Johann Radon Institute for Computational and Applied Mathematics
Austria

Keywords

Additive bases, including sumsets, convex set, FOS: Mathematics, additive combinatorics, Mathematics - Combinatorics, Other problems of combinatorial convexity, Combinatorics (math.CO), Erdős problems and related topics of discrete geometry, difference sets

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