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A diophantine problem on groups. III

Published online by Cambridge University Press:  24 October 2008

R. C. Baker
R. C. Baker
Affiliation:
Birkbeck College, University of London
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Abstract

The following generalization of a theorem of Weyl appeared in part I of this series of papers. Let G be a locally compact Abelian group with dual group ĝ. Let be a sequence in ĝ, not too slowly growing in a certain precise sense. Then, provided ĝ has ‘not too many’ elements of finite order, the sequences

are uniformly distributed on the circle, for almost all x in G.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 70 , Issue 1 , July 1971 , pp. 31 - 47
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

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