Title
A Multicomplex Riemann Zeta Function
Keywords
Multicomplex analysis; Multicomplex number system; Riemann zeta function
Abstract
After reviewing properties of analytic functions on the multicomplex number space ℂk (a commutative generalization of the bicomplex numbers ℂ2), 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. © 2012 Springer Basel.
Publication Date
3-1-2013
Publication Title
Advances in Applied Clifford Algebras
Volume
23
Issue
1
Number of Pages
237-251
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1007/s00006-012-0369-x
Copyright Status
Unknown
Socpus ID
84874205573 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84874205573
STARS Citation
Reid, Frederick Lyall and van Gorder, Robert A., "A Multicomplex Riemann Zeta Function" (2013). Scopus Export 2010-2014. 6699.
https://stars.library.ucf.edu/scopus2010/6699