Vol. 36, No. 1, 1971

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An elementary proof of the Riemann hypothesis for an elliptic curve over a finite field

Horst Günter Zimmer

Vol. 36 (1971), No. 1, 267–278
Abstract

Let K be an elliptic function field over a finite field of constants k. This paper is aimed at presenting a valuationtheoretic proof of the analogue of Riemann’s hypothesis for the zeta-function of K.

Mathematical Subject Classification
Primary: 14.47
Milestones
Received: 19 January 1970
Published: 1 January 1971
Authors
Horst Günter Zimmer