Multiplicative functions over the Gaussian integers with regularity properties
type: Item
instance of: scholarly article
title: Multiplicative functions over the Gaussian integers with regularity properties
zbMATH Open document ID: 0615.10010
DOI: 10.1007/BF01949063
author: Yanyan Li
published in: Acta Mathematica Hungarica
publication date: 1986-01-01T00:00:00Z
review text: The authors study completely multiplicative functions F defined on the multiplicative semigroup \(G^*\) of the nonzero Gaussian integers. They give a partial answer to the following question. Which functions F satisfy the condition \(F(\alpha +\gamma)-F(\alpha)\to 0\) \((\alpha,\gamma \in G^*\), \(\gamma\) arbitrary but fixed, \(| \alpha | \to \infty)\) ?
reviewed by: Dieter Wolke
Mathematics Subject Classification ID: 11A25
Mathematics Subject Classification ID: 11R04
Mathematics Subject Classification ID: 11R11
zbMATH DE Number: 3995759
zbMATH Keywords: completely multiplicative functions
zbMATH Keywords: Gaussian integers
MaRDI profile type: Publication
cites work: Multiplicative functions with regularity properties. I
cites work: A correction to my paper ''Multiplicative functions with regularity properties. I''
full work available at URL: https://doi.org/10.1007/bf01949063
OpenAlex ID: W2059568358
description: scientific article; zbMATH DE number 3995759