A bicomplex Riemann zeta function
type: Item
instance of: scholarly article
title: A bicomplex Riemann zeta function
zbMATH Open document ID: 1075.30025
author: Dominic Rochon
published in: Tokyo Journal of Mathematics
publication date: 2005-03-14T00:00:00Z
review text: The author uses a commutative generalization of complex numbers, called bicomplex numbers, to introduce a holomorphic Riemann zeta function of two complex variables, which satisfies the complexified Cauchy-Riemann equations. Moreover, the author establishes a bicomplex Riemann hypothesis which is equivalent to the complex Riemann hypothesis of one variable. In addition, in the paper it is obtained a bicomplex Euler product.
reviewed by: Mirela Kohr
Mathematics Subject Classification ID: 30G35
Mathematics Subject Classification ID: 32A30
zbMATH DE Number: 2145296
zbMATH Keywords: bicomplex numbers
zbMATH Keywords: bicomplex Euler product
zbMATH Keywords: Cauchy-Riemann equations
zbMATH Keywords: hyperbolic Riemann zeta function
zbMATH Keywords: Riemann's hypothesis
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3836/tjm/1244208394
OpenAlex ID: W1966384992
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DOI: 10.3836/TJM/1244208394
description: scientific article; zbMATH DE number 2145296