Some examples of multidimensional Shintani zeta distributions

Analytic Properties of Shintani Zeta Functions

In this note, we describe various theoretical results, numerical computations, and speculations concerning the analytic properties of the Shintani zeta functions associated to the space of binary cubic forms. We describe how these zeta functions almost fit into the general analytic theory of zeta and L-functions, and we discuss the relationship between this analytic theory and counting problems...

Markov Processes with Infinitely Divisible Limit Distributions: Some Examples

J.BSTllCT A set of examples is described which suggests that members of a certain class of Markov processes have infinitely divisible limit distributions. A counter example rilles out such a possibility and raises the question of what further restrictions are required to guarantee infinitely divisible limits. Some related examples illustrate the same occurrence of infinitely divisible limit dis...

Multidimensional Design by Examples

In this paper we present a method to validate user multidimensional requirements expressed in terms of SQL queries. Furthermore, our approach automatically generates and proposes the set of multidimensional schemas satisfying the user requirements, from the organizational operational schemas. If no multidimensional schema is generated for a query, we can state that requirement is not multidimen...

Shintani zeta-functions and Gross–Stark units for totally real fields

Let F be a totally real number field and let p be a finite prime of F , such that p splits completely in the finite abelian extension H of F . Stark has proposed a conjecture stating the existence of a p-unit in H with absolute values at the places above p specified in terms of the values at zero of the partial zeta-functions associated to H/F . Gross proposed a refinement of Stark’s conjecture...

A Converse Theorem for Double Dirichlet Series and Shintani Zeta Functions Nikolaos Diamantis and Dorian Goldfeld