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On irregularities of distribution

Published online by Cambridge University Press:  26 February 2010

K. F. Roth
K. F. Roth
Affiliation:
University College, London.
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Extract

In 1935 van der Corput, in connection with his work on distribution functions, was led to the following conjecture which expresses the fact that no sequence can, in a certain sense, be too evenly distributed.

Information

Type
Research Article
Information
Mathematika , Volume 1 , Issue 2 , June 1954 , pp. 73 - 79
Copyright
Copyright © University College London 1954

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References

1. van der Corput, J. G., Proc. Kon. Ned. Akad. v. Wetensch., Amsterdam, 83 813–821 (1935).Google Scholar
2. van der Corput, J. G., Proc. Kon. Ned. Akad. v. Wetensch., 38, 1058–1066 (1935).Google Scholar
3. van Aardenne-Ehrenfest, T., Proc. Kon. Ned. Akad. v. Wetensch., 48, 1058–1066 (1945).Google Scholar
4. van Aardenne-Ehrenfest, T., Proc. Kon. Ned. Akad. v. Wetensch., 52, 734–739 (1949).Google Scholar