{ "id": "0709.2593", "version": "v1", "published": "2007-09-17T11:57:37.000Z", "updated": "2007-09-17T11:57:37.000Z", "title": "Symmetric identities on Bernoulli polynomials", "authors": [ "Amy M. Fu", "Hao Pan", "Fan Zhang" ], "categories": [ "math.NT", "math.CO" ], "abstract": "In this paper, we obtain a generalization of an identity due to Carlitz on Bernoulli polynomials. Then we use this generalized formula to derive two symmetric identities which reduce to some known identities on Bernoulli polynomials and Bernoulli numbers, including the Miki identity.", "revisions": [ { "version": "v1", "updated": "2007-09-17T11:57:37.000Z" } ], "analyses": { "subjects": [ "11B68", "05A19", "05A15" ], "keywords": [ "bernoulli polynomials", "symmetric identities", "miki identity", "bernoulli numbers" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0709.2593F" } } }