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PRIMES IN BEATTY SEQUENCES IN SHORT INTERVALS

Part of: Multiplicative number theory

Published online by Cambridge University Press:  17 February 2016

Glyn Harman
Glyn Harman*
Affiliation:
Royal Holloway, University of London, Egham, Surrey TW20 0EX, U.K. email G.Harman@rhul.ac.uk

Abstract

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In this paper we show that sieve methods used previously to investigate primes in short intervals and corresponding Goldbach-type problems can be modified to obtain results on primes in Beatty sequences in short intervals.

MSC classification

Primary: 11N13: Primes in progressions
Secondary: 11N36: Applications of sieve methods

Information

Type
Research Article
Information
Mathematika , Volume 62 , Issue 2 , 2016 , pp. 572 - 586
Copyright
Copyright © University College London 2016 

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