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On the irreducibility of the two variable zeta-function for curves over finite fields

Niko Naumann
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Abstract

In [P] R. Pellikaan introduced a two variable zeta-function for a curve over a finite field and proved that it is a rational function. Here we show that its denominator is absolutely irreducible. This is motivated by work of J. Lagarias and E. Rains on an analogous two variable zeta-funtion for number fields.

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Niko Naumann. 2002-09-09. On the irreducibility of the two variable zeta-function for curves over finite fields. https://arxiv.org/abs/math/0209092

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