Rationality of Partial Zeta Fun tions

Moment Zeta Fun tions in Arithmeti Geometry

Zeta Fun tions Of Algebrai Cy les Over Finite Fields

Rationality of Partial Zeta Functions

We prove that the partial zeta function introduced in [9] is a rational function, generalizing Dwork’s rationality theorem.

Partial Zeta Functions of Algebraic Varieties over Finite Fields

Motivated by arithmetic applications, we introduce the notion of a partial zeta function which generalizes the classical zeta function of an algebraic variety defined over a finite field. We then explain two approaches to the general structural properties of the partial zeta function in the direction of the Weil type conjectures. The first approach, using an inductive fibred variety point of vi...

Partial Fun tions in ACL 2