{ "id": "2109.01798", "version": "v1", "published": "2021-09-04T06:07:28.000Z", "updated": "2021-09-04T06:07:28.000Z", "title": "Repeated concatenations in residue classes", "authors": [ "Daniel Tsai" ], "comment": "10 pages; comments welcome", "categories": [ "math.NT" ], "abstract": "We give an algorithm to determine all the repeated concatenations, in a given base, of a natural number in a residue class. The author recently describes a particular sequence of $v$-palindromes that inspires this investigation. We also generalize this sequence and discuss how there could be variations of the investigation we do in this paper.", "revisions": [ { "version": "v1", "updated": "2021-09-04T06:07:28.000Z" } ], "analyses": { "subjects": [ "11A63", "11A07", "11A25" ], "keywords": [ "residue class", "repeated concatenations", "natural number", "investigation" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }