Distribution of the values of \(q\)-additive functions on polynomial sequences
type: Item
instance of: scholarly article
title: Distribution of the values of \(q\)-additive functions on polynomial sequences
zbMATH Open document ID: 0832.11035
DOI: 10.1007/BF01874349
published in: Acta Mathematica Hungarica
publication date: 1996-03-07T00:00:00Z
review text: Let \(f\) be a \(q\)-additive function and \(P\) a polynomial with integer coefficients. The authors show that under some conditions the frequencies of \(f\circ P\) converge to the normal distribution function. They use theorems of Vinogradov and Hua for trigonometric sums and of Erdös and Turán for the discrepancy of sequences mod 1.
Mathematics Subject Classification ID: 11N60
Mathematics Subject Classification ID: 11K65
zbMATH DE Number: 792798
zbMATH Keywords: \(q\)-additive function
zbMATH Keywords: frequencies
zbMATH Keywords: normal distribution function
author: N. L. Bassily
author: Imre Kátai
reviewed by: Jürgen Spilker
MaRDI profile type: Publication
cites work: Q5587215
cites work: Q4314074
description: scientific article; zbMATH DE number 792798