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

摘要

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