Hostname: page-component-74656f9884-2dmjx Total loading time: 0 Render date: 2026-11-07T14:13:23.082Z Has data issue: false hasContentIssue false
  • English
  • Français

Multiplicative functions on arithmetic progressions

Published online by Cambridge University Press:  26 February 2010

P. D. T. A. Elliott
P. D. T. A. Elliott
Affiliation:
Department of Mathematics, University of Colorado, Boulder, Colorado 80309, U.S.A.
Get access

Extract

In this paper I show that complex-valued multiplicative functions g which satisfy |g(n)|≤1 for all positive integers n, are generally well distributed in residue classes to small moduli.

Information

Type
Research Article
Information
Mathematika , Volume 34 , Issue 2 , December 1987 , pp. 199 - 206
Copyright
Copyright © University College London 1987

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

1.Elliott, P. D. T. A.. Probabilistic Number Theory I: Mean-Value Theorems, II: Central Limit Theorems. Grund. der math. Wiss. 239, 240, (Springer, New York, 1979, 1980).Google Scholar
2.Halász, G.. On the distribution of additive arithmetic functions. Acta Arilhmetica, 27 (1975), 143–152.CrossRefGoogle Scholar
3.Halasz, G.. On the distribution of additive and the mean values of multiplicative arithmetic functions. Studia Scient. Math. Hungarica, 6 (1971), 211–233.Google Scholar
4.Wirsing, E.. Das asymptotische Verhalten von Summen über multiplikative Funktionen, II. Acta Math. Acad. Sci. Hung., 18 (1967), 411–467.Google Scholar