{ "id": "1901.07011", "version": "v1", "published": "2019-01-21T17:53:09.000Z", "updated": "2019-01-21T17:53:09.000Z", "title": "A Note on the Riemann $ΞΎ$-Function", "authors": [ "M. L. Glasser" ], "comment": "7 pages", "categories": [ "math.CA" ], "abstract": "This note investigates several integrals of Riemann's $\\xi-$function, presents a different, and more general, derivation of one of his key identities and is Two forms of an integral equation for $\\xi$ are derived of possible interest with respect to the distribution of its zeros in the critical strip.", "revisions": [ { "version": "v1", "updated": "2019-01-21T17:53:09.000Z" } ], "analyses": { "subjects": [ "11M06", "11M26", "11M99", "26A09", "30B40", "30E20", "30C15", "33C47" ], "keywords": [ "integral equation", "identities", "derivation", "distribution" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }