English

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

Algebraic Geometry 2016-09-07 v1 Number Theory

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.

Keywords

Cite

@article{arxiv.math/0209092,
  title  = {On the irreducibility of the two variable zeta-function for curves over finite fields},
  author = {Niko Naumann},
  journal= {arXiv preprint arXiv:math/0209092},
  year   = {2016}
}

Comments

7 pages