{ "id": "1902.10468", "version": "v1", "published": "2019-02-27T11:37:48.000Z", "updated": "2019-02-27T11:37:48.000Z", "title": "Some observations about determinants which are connected with Catalan numbers and related topics", "authors": [ "Johann Cigler" ], "comment": "36 pages", "categories": [ "math.CO" ], "abstract": "In this (mostly expository) paper I want to share some observations prompted by a class of matrices whose determinants are Catalan numbers. Considering different methods of proof we obtain some generalizations and q-analogues and connections with Hankel determinants. Finally we state some conjectures.", "revisions": [ { "version": "v1", "updated": "2019-02-27T11:37:48.000Z" } ], "analyses": { "subjects": [ "05A10", "05A30", "15A15", "33C45" ], "keywords": [ "catalan numbers", "related topics", "observations", "hankel determinants", "conjectures" ], "note": { "typesetting": "TeX", "pages": 36, "language": "en", "license": "arXiv", "status": "editable" } } }