# Poincare series and zeta function for an irreducible plane curve singularity Journal article, 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

## Author

### Jan Stevens

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

#### Bulletin of the London Mathematical Society

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

Vol. 37 3 399-404

Mathematics

### DOI

10.1112/S0024609304004047