Application of sums of multiplicative functions in integral laws and algebraic number fields
type: Item
instance of: scholarly article
title: Application of sums of multiplicative functions in integral laws and algebraic number fields
zbMATH Open document ID: 0628.10057
DOI: 10.1007/BF01049467
author: B. George
published in: Lithuanian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: The author generalizes a result of \textit{I. P. Kubilius} on the rate of convergence in the central limit theorem for additive arithmetic functions [Probabilistic methods in the theory of numbers (Transl. Math. Monogr., Vol. 11, Providence 1964; Zbl 0133.302)] to additive functions defined on the set of integral ideals of an algebraic number field. As an auxiliary result he also establishes a quantitative mean value theorem for multiplicative functions of ideals.
Mathematics Subject Classification ID: 11K65
Mathematics Subject Classification ID: 11N37
Mathematics Subject Classification ID: 11R99
zbMATH DE Number: 4021271
zbMATH Keywords: limit distribution
zbMATH Keywords: additive functions
zbMATH Keywords: integral ideals
zbMATH Keywords: mean value
zbMATH Keywords: multiplicative functions of ideals
Wikidata QID: Q114852720
reviewed by: Adolf Hildebrand
MaRDI profile type: Publication
cites work: Probabilistic methods in the theory of numbers
cites work: Q3853726
cites work: Q5815672
cites work: Q4402415
cites work: Q4055734
full work available at URL: https://doi.org/10.1007/bf01049467
OpenAlex ID: W2054083877
description: scientific article; zbMATH DE number 4021271