{ "id": "1709.07170", "version": "v1", "published": "2017-09-21T06:20:44.000Z", "updated": "2017-09-21T06:20:44.000Z", "title": "On the explicit upper and lower bounds for the number of zeros of the Selberg class", "authors": [ "Neea Palojärvi" ], "categories": [ "math.NT" ], "abstract": "In this paper we prove explicit upper and lower bounds for the error term in the Riemann-von Mangoldt type formula for the number of zeros inside the critical strip. Furthermore, we also give examples of the bounds.", "revisions": [ { "version": "v1", "updated": "2017-09-21T06:20:44.000Z" } ], "analyses": { "keywords": [ "lower bounds", "explicit upper", "selberg class", "riemann-von mangoldt type formula", "error term" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }