{ "id": "2212.07109", "version": "v1", "published": "2022-12-14T08:59:30.000Z", "updated": "2022-12-14T08:59:30.000Z", "title": "Some remarks on the distribution of additive energy", "authors": [ "Norbert Hegyvári" ], "comment": "10 pages, Comments are welcome", "categories": [ "math.CO", "math.NT" ], "abstract": "The aim of this note is two-fold. In the first part of the paper we are going to investigate an inverse problem related to additive energy. In the second, we investigate how dense a subset of a finite structure can be for a given additive energy.", "revisions": [ { "version": "v1", "updated": "2022-12-14T08:59:30.000Z" } ], "analyses": { "subjects": [ "11B75", "11B13" ], "keywords": [ "additive energy", "distribution", "first part", "inverse problem", "finite structure" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }