Vol. 107, No. 1, 1983

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On the zeta function for function fields over Fp

Emery Thomas

Vol. 107 (1983), No. 1, 251–256
Abstract

We consider here the zeta function for a function field defined over a finite field Fp. For each inter j,ζ(j) is a polynomial over Fp, as is ζ(j), the “derivative” of zeta. In this note we compute the degree of these polynomials, determine when they are the constant polynomial and relate them to the polynomial gamma function.

Mathematical Subject Classification 2000
Primary: 11T06
Secondary: 11R52, 11R58
Milestones
Received: 22 May 1981
Published: 1 July 1983
Authors
Emery Thomas