{ "id": "1806.05968", "version": "v1", "published": "2018-06-11T18:43:53.000Z", "updated": "2018-06-11T18:43:53.000Z", "title": "A closed formula for the generating function of $p$-Bernoulli numbers: An elementary proof", "authors": [ "Helmut Prodinger", "Sarah J. Selkirk" ], "categories": [ "math.CO", "math.NT" ], "abstract": "For a two parameter family of Bernoulli numbers $B_{n, p}$ the exponential generating function is derived by elementary methods.", "revisions": [ { "version": "v1", "updated": "2018-06-11T18:43:53.000Z" } ], "analyses": { "subjects": [ "11B68", "11B83" ], "keywords": [ "bernoulli numbers", "elementary proof", "closed formula", "exponential generating function" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }