# Poincare series and zeta function for an irreducible plane curve singularity Artikel i vetenskaplig tidskrift, 2005

The Poincaré series of an irreducible plane curve singularity equals the $\zeta$-function of its monodromy, by a result of Campillo, Delgado and Gusein-Zade. This fact is derived in this paper from a formula of Ebeling and Gusein-Zade, relating the Poincaré series of a quasi-homogeneous complete intersection singularity to the Saito dual of a product of $\zeta$-functions. © 2005 London Mathematical Society.

monodromy

## Författare

#### Jan Stevens

Göteborgs universitet

Chalmers, Matematiska vetenskaper, Matematik

#### Bulletin of the London Mathematical Society

0024-6093 (ISSN) 1469-2120 (eISSN)

Vol. 37 3 399-404

Matematik

#### DOI

10.1112/S0024609304004047

2017-10-06