A Zeta Function for Multicomplex Algebra

In this paper we define and study a Dedekind-like zeta function for the algebra of multicomplex numbers. By using the idempotent representations for such numbers, we are able to identify this zeta function with the one associated to a product of copies of the field of Gaussian rationals. The approac...

Full description

Saved in:
Bibliographic Details
Main Authors Sebbar, A, Struppa, D. C, Vajiac, A, Vajiac, M. B
Format Journal Article
LanguageEnglish
Published 18.01.2016
Subjects
Mathematics - Commutative Algebra
Mathematics - Complex Variables
Mathematics - Number Theory
Online AccessGet full text

Cover

More Information
Summary:In this paper we define and study a Dedekind-like zeta function for the algebra of multicomplex numbers. By using the idempotent representations for such numbers, we are able to identify this zeta function with the one associated to a product of copies of the field of Gaussian rationals. The approach we use is substantially different from the one previously introduced by Rochon (for the bicomplex case) and by Reid and Van Gorder (for the multicomplex case).
DOI:10.48550/arxiv.1601.04785