The closeness of the election result triggered a recount; the election results posted here reflect the recount totals, as reported by the Reno Evening Gazette, Dec 3rd 1964.
Source for Popular Vote data: NV Secretary of State. General Election and Senate Race Results, NV Secretary of State (http://nvsos.gov/Modules/ShowDocument.aspx?documentid=3126) (accessed 20 Jun 2014)