{ "id": "2202.13512", "version": "v1", "published": "2022-02-28T02:34:36.000Z", "updated": "2022-02-28T02:34:36.000Z", "title": "On a General Class of A-functions", "authors": [ "Joseph Burnett", "Alex Taylor" ], "categories": [ "math.NT" ], "abstract": "Expanding upon recent work, a new class of $A$-functions is introduced that can be viewed as an appropriate generalization of the class of regular $A$-functions, the class of structured $A$-functions, and the class of perfect $A$-functions. Algebraic results are discussed and analysis is performed to deduce new results concerning rational arithmetical functions.", "revisions": [ { "version": "v1", "updated": "2022-02-28T02:34:36.000Z" } ], "analyses": { "subjects": [ "11A25" ], "keywords": [ "general class", "a-functions", "results concerning rational arithmetical functions", "algebraic results", "appropriate generalization" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }