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Diophantine approximation and Dirichlet series

Published online by Cambridge University Press:  24 October 2008

G. R. Everest
G. R. Everest
Affiliation:
School of Mathematics and Physics, University of East Anglia, Norwich NR4 1TJ
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Extract

1. Given a sequence an of positive integers, one expects to obtain information on the distribution of these numbers by examining the Dirichlet series

In this paper we are going to show how such a series arises from Fröhlich's Galoismodule theory and the use the Thue–Siegel–Roth–Schmidt Theorem as one of the tools in the study of its singularities.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 2 , March 1985 , pp. 195 - 210
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

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