{ "id": "1512.04711", "version": "v1", "published": "2015-12-15T10:32:22.000Z", "updated": "2015-12-15T10:32:22.000Z", "title": "A cotangent sum related to zeros of the Estermann zeta function", "authors": [ "Michael Th. Rassias" ], "comment": "This paper has been published in the journal: Applied Mathematics and Computation, 240(2014), 161-167", "categories": [ "math.CA" ], "abstract": "We consider a cotangent sum related to Estermann's Zeta function. We provide an elementary and self-contained improvement of the error term in an asymptotic formula proved by V. I. Vasyunin.", "revisions": [ { "version": "v1", "updated": "2015-12-15T10:32:22.000Z" } ], "analyses": { "keywords": [ "estermann zeta function", "cotangent sum", "estermanns zeta function", "error term", "asymptotic formula" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }