{ "id": "2203.11916", "version": "v1", "published": "2022-03-22T17:36:48.000Z", "updated": "2022-03-22T17:36:48.000Z", "title": "Nonrationality and Principal permutation classes: the remaining case", "authors": [ "Miklos Bona" ], "comment": "7 pages", "categories": [ "math.CO" ], "abstract": "We complete the proof of the fact that all principal permutation classes generated by a pattern longer than two have a nonrational generating function.", "revisions": [ { "version": "v1", "updated": "2022-03-22T17:36:48.000Z" } ], "analyses": { "subjects": [ "05A05", "05A15", "05A16" ], "keywords": [ "principal permutation classes", "remaining case", "nonrationality", "nonrational generating function" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }