{ "id": "2403.13604", "version": "v1", "published": "2024-03-20T13:53:02.000Z", "updated": "2024-03-20T13:53:02.000Z", "title": "A strange identity of an MF (Mahler function)", "authors": [ "Wadim Zudilin" ], "comment": "In memoriam Peter Bundschuh; 4 pages", "categories": [ "math.NT", "math.CA", "math.CO" ], "abstract": "We relate two different solutions of a Mahler equation; one solution is only defined at certain roots of unity, while the other is an analytic function inside the unit disk.", "revisions": [ { "version": "v1", "updated": "2024-03-20T13:53:02.000Z" } ], "analyses": { "subjects": [ "39A10", "11J91", "30B99", "39B32" ], "keywords": [ "mahler function", "strange identity", "analytic function inside", "mahler equation", "unit disk" ], "note": { "typesetting": "TeX", "pages": 4, "language": "en", "license": "arXiv", "status": "editable" } } }