Title

A Multicomplex Riemann Zeta Function

Authors

Authors

F. L. Reid;R. A. Van Gorder

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Adv. Appl. Clifford Algebr.

Keywords

Multicomplex number system; Multicomplex analysis; Riemann zeta function; BICOMPLEX; SPACES; Mathematics, Applied; Physics, Mathematical

Abstract

After reviewing properties of analytic functions on the multicomplex number space (a commutative generalization of the bicomplex numbers ), a multicomplex Riemann zeta function is defined through analytic continuation. Properties of this function are explored, and we are able to state a multicomplex equivalence to the Riemann hypothesis.

Journal Title

Advances in Applied Clifford Algebras

Volume

23

Issue/Number

1

Publication Date

1-1-2013

Document Type

Article

DOI Link

http://dx.doi.org/10.1007/s00006-012-0369-x

Language

English

First Page

237

Last Page

251

WOS Identifier

WOS:000315160000014

ISSN

0188-7009

Recommended Citation

"A Multicomplex Riemann Zeta Function" (2013). Faculty Bibliography 2010s. 4586.
https://stars.library.ucf.edu/facultybib2010/4586