Vol. 88, No. 1, 1980

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On the uniform distribution property of certain linear algebraic groups

Atsushi Murase

Vol. 88 (1980), No. 1, 163–187
Abstract

Let G be a connected semisimple linear algebraic group defined over an algebraic number field k. Denote by Gk and GA the group of k-rational points of G and its adelization. In this paper, we prove, under suitable assumptions on G, a uniformity of distribution of Gk in GA with respect to the Haar measure on GA.

Mathematical Subject Classification 2000
Primary: 22E55
Secondary: 20H05
Milestones
Received: 9 July 1979
Published: 1 May 1980
Authors
Atsushi Murase