{ "id": "1711.06671", "version": "v1", "published": "2017-11-17T18:57:22.000Z", "updated": "2017-11-17T18:57:22.000Z", "title": "Value Distribution of L-functions", "authors": [ "Anup B. Dixit" ], "comment": "15 pages", "categories": [ "math.NT" ], "abstract": "In 2002, V. Kumar Murty \\cite{Km} introduced a class of $L$-functions, namely the Lindel\\\"of class, which has a ring structure attached to it. In this paper, we establish some results on the value distribution of $L$-functions in this class. As a corollary, we also prove a uniqueness theorem in the Selberg class.", "revisions": [ { "version": "v1", "updated": "2017-11-17T18:57:22.000Z" } ], "analyses": { "keywords": [ "value distribution", "l-functions", "kumar murty", "selberg class" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable" } } }