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

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

2002-09-09

arxiv.org/abs/math/0209092v1

Mathematics

Algebraic Geometry

7 pages

Scientific paper

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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