{ "id": "0710.1127", "version": "v1", "published": "2007-10-05T03:06:44.000Z", "updated": "2007-10-05T03:06:44.000Z", "title": "The values of an Euler sum at negative integers and relation to a convolution of Bernoulli numbers", "authors": [ "Khristo N. Boyadzhiev", "H. Gopalkrishna Gadiyar", "R. Padma" ], "categories": [ "math.CA", "math.NT" ], "abstract": "We study a special Dirichlet series studied before by Apostol and Matsuoka and specify its values at negative integers. These values are related to a certain convolution of Bernoulli numbers", "revisions": [ { "version": "v1", "updated": "2007-10-05T03:06:44.000Z" } ], "analyses": { "subjects": [ "33B99", "11M41", "11B68" ], "keywords": [ "bernoulli numbers", "negative integers", "euler sum", "convolution", "special dirichlet series" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0710.1127B" } } }