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The large sieve in algebraic number fields

Published online by Cambridge University Press:  26 February 2010

Robin J. Wilson
Robin J. Wilson
Affiliation:
Jesus College, Oxford.
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Extract

The objectjof this paper is to extend to algebraic number fields some of the recent results proved by the large sieve method. In particular we prove generalizations of Bombieri's form of the large sieve inequality [1; Theorem 1] and of the theorems of Davenport and Halberstam [2] and Bombieri [1, 4], on the average distribution of primes in arithmetic progressions.

Type
Research Article
Information
Mathematika , Volume 16 , Issue 2 , December 1969 , pp. 189 - 204
Copyright
Copyright © University College London 1969

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References

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