{ "id": "math/0609242", "version": "v1", "published": "2006-09-08T16:08:02.000Z", "updated": "2006-09-08T16:08:02.000Z", "title": "Sums of Like Powers and Some Dense Sets", "authors": [ "Zarko Mijajlovic", "Milos Milosevic", "Aleksandar Perovic" ], "categories": [ "math.NT" ], "abstract": "In this paper we introduce the notion of the $P$-sequences and apply their properties in studying representability of real numbers. Another application of $P$-sequences we find in generating the Prouhet-Tarry-Escott pairs.", "revisions": [ { "version": "v1", "updated": "2006-09-08T16:08:02.000Z" } ], "analyses": { "subjects": [ "11D41", "11B05", "11B75", "11Y50" ], "keywords": [ "dense sets", "real numbers", "prouhet-tarry-escott pairs", "properties" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......9242M" } } }