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On Bombieri and Davenport's theorem concerning small gaps between primes

Published online by Cambridge University Press:  26 February 2010

D. A. Goldston
Affiliation:
Department of Mathematics and Computer Science, San Jose State University, San Jose, CA 95192, USA.
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§1. Introduction. In this paper we give a new proof of a theorem of Bombieri and Davenport [2, Theorem 1]. Let t(–k) = t(k) be real,

where e(u) = e2πiu. Let p and p' denote primes, k an integer, and define

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Type
Research Article
Copyright
Copyright © University College London 1992

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