{ "id": "1105.2042", "version": "v2", "published": "2011-05-10T20:07:13.000Z", "updated": "2012-10-12T18:13:09.000Z", "title": "Note On the Irrationality of the L-Function Constants L(s, X)", "authors": [ "N. A. Carella" ], "comment": "Some Corrections, 10 Pages", "categories": [ "math.NT" ], "abstract": "A unified proof of the irrationality of the special values L(n, X), n > 1 an integer, of the beta L-function is put forward in this note. The first case of n = 2 seems to confirm that the Catalan constant L(2, X) is an irrational number.", "revisions": [ { "version": "v2", "updated": "2012-10-12T18:13:09.000Z" } ], "analyses": { "subjects": [ "11J72", "11J82" ], "keywords": [ "l-function constants", "irrationality", "beta l-function", "catalan constant", "special values" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1105.2042C" } } }