A localized Erdős-Wintner theorem

P. D. T. A. Elliott

Vol. 135 (1988), No. 2, 287–297

DOI: 10.2140/pjm.1988.135.287

Abstract

In this paper I show that a form of the well-known Erdös-Wintner theorem for additive arithmetic functions holds, even if the information is only given on widely separated intervals.

Mathematical Subject Classification 2000

Primary: 11K65

Secondary: 11N60

Milestones

Received: 22 May 1986

Revised: 15 March 1988

Published: 1 December 1988