Philippe Goutet

collaborators

3 papers

math.NT2009

Isotypic Decomposition of the Cohomology and Factorization of the Zeta Functions of Dwork Hypersurfaces

Philippe Goutet

The aim of this article is to illustrate, on the example of Dwork hypersurfaces, how the study of the representation of a finite group of automorphisms of a hypersurface in its eta…

math.NT2009

Zeta function factorisation, Dwork hypersurfaces, hypergeometric hypersurfaces

Philippe Goutet

Let $F_{q}$ be a finite field with $q$ elements, $ψ$ a non-zero element of $F_{q}$ , and $n$ an integer $\geq 3$ prime to $q$ . The aim of this article is to show that…

math.NT2009

On the Zeta Function of a Family of Quintics

Philippe Goutet

In this article, we give a proof of the link between the zeta function of two families of hypergeometric curves and the zeta function of a family of quintics that was observed nume…