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Gaussian primes in narrow sectors

Part of: Multiplicative number theory

Published online by Cambridge University Press:  26 February 2010

Glyn Harman  and
Philip Lewis
Glyn Harman
Affiliation:
Department of Mathematics, Royal Holloway, University of London, Egham, Surrey TW20 OEX
Philip Lewis
Affiliation:
School of Mathematics, Cardiff University, Senghennydd Road, P.O. Box 926, Cardiff CF12 4YH.

Extract

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The purpose of this paper is to show how a sieve method which has had many applications to problems involving rational primes can be modified to derive new results on Gaussian primes (or, more generally, prime ideals in algebraic number fields). One consequence of our main theorem (Theorem 2 below) is the following result on rational primes.

MSC classification

Secondary: 11N36: Applications of sieve methods
Type
Research Article
Information
Mathematika , Volume 48 , Issue 1-2 , December 2001 , pp. 119 - 135
Copyright
Copyright © University College London 2001

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