{ "id": "1308.6670", "version": "v1", "published": "2013-08-30T07:44:50.000Z", "updated": "2013-08-30T07:44:50.000Z", "title": "Extensions of the class of multiplicative functions", "authors": [ "Pentti Haukkanen" ], "comment": "arXiv admin note: text overlap with arXiv:1008.5239", "journal": "East-West Journal of Mathematics 14 (2), 2012, 101-113", "categories": [ "math.NT" ], "abstract": "We consider the classes of quasimultiplicative, semimultiplicative and Selberg multiplicative functions as extensions of the class of multiplicative functions. We apply these concepts to Ramanujan's sum and its analogue with respect to regular integers (mod r).", "revisions": [ { "version": "v1", "updated": "2013-08-30T07:44:50.000Z" } ], "analyses": { "subjects": [ "11A25" ], "keywords": [ "extensions", "selberg multiplicative functions", "ramanujans sum", "regular integers" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1308.6670H" } } }