{ "id": "1509.08708", "version": "v1", "published": "2015-09-29T12:11:45.000Z", "updated": "2015-09-29T12:11:45.000Z", "title": "A method of finding the asymptotics of q-series based on the convolution of generating functions", "authors": [ "Vaclav Kotesovec" ], "comment": "28 pages", "categories": [ "math.CO" ], "abstract": "This paper analyzes over 30 types of q-series and the asymptotic behavior of their expansions. A method is described for deriving further asymptotic formulas using convolutions of generating functions with subexponential growth. All variables in the article are integers.", "revisions": [ { "version": "v1", "updated": "2015-09-29T12:11:45.000Z" } ], "analyses": { "subjects": [ "05A17", "05A16", "05A30", "11P81", "41A60" ], "keywords": [ "generating functions", "convolution", "paper analyzes", "asymptotic behavior", "asymptotic formulas" ], "note": { "typesetting": "TeX", "pages": 28, "language": "en", "license": "arXiv", "status": "editable" } } }