{ "id": "1705.02256", "version": "v1", "published": "2017-05-05T15:17:38.000Z", "updated": "2017-05-05T15:17:38.000Z", "title": "On some mellin transforms for the Riemann zeta function in the critical strip", "authors": [ "Alexander E Patkowski" ], "categories": [ "math.CA" ], "abstract": "We offer two new Mellin transform evaluations for the Riemann zeta function in the region $0<\\Re(s)<1.$ Some discussion is offered in the way of evaluating some further Fourier integrals involving the Riemann xi function.", "revisions": [ { "version": "v1", "updated": "2017-05-05T15:17:38.000Z" } ], "analyses": { "keywords": [ "riemann zeta function", "critical strip", "mellin transform evaluations", "riemann xi function", "fourier integrals" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }