{ "id": "1512.04169", "version": "v1", "published": "2015-12-14T04:37:46.000Z", "updated": "2015-12-14T04:37:46.000Z", "title": "An ergodic value distribution of some certain meromorphic functions", "authors": [ "Junghun Lee", "Ade Irma Suriajaya" ], "categories": [ "math.NT" ], "abstract": "In this paper, we introduce an application of Birkhoff's ergodic theorem to some certain meromorphic functions. We also apply our main result to some class of zeta functions including Dedekind $\\zeta$-functions and Dirichlet $L$-functions.", "revisions": [ { "version": "v1", "updated": "2015-12-14T04:37:46.000Z" } ], "analyses": { "subjects": [ "11M06", "37A05", "37A30" ], "keywords": [ "ergodic value distribution", "meromorphic functions", "birkhoffs ergodic theorem", "main result", "zeta functions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }