A bicomplex Riemann zeta function

DOI10.3836/tjm/1244208394zbMath1075.30025OpenAlexW1966384992MaRDI QIDQ1768107

Dominic Rochon

Publication date: 14 March 2005

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1244208394

zbMATH Keywords

Riemann's hypothesisCauchy-Riemann equationsbicomplex numbersbicomplex Euler producthyperbolic Riemann zeta function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Other generalizations of function theory of one complex variable (32A30)

Related Items (10)

Multicomplex wave functions for linear and nonlinear Schrödinger equations ⋮ Unnamed Item ⋮ On a relation of bicomplex pseudoanalytic function theory to the complexified stationary Schrödinger equation ⋮ The Schwarz lemma in bicomplex analysis ⋮ A multicomplex Riemann zeta function ⋮ On Factorization of Bicomplex Meromorphic Functions ⋮ Bicomplex Fibonacci quaternions ⋮ Unnamed Item ⋮ Algebraic properties of bihyperbolic numbers ⋮ A Comparison of Norms: Bicomplex Root and Ratio Tests and an Extension Theorem

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