PRIMES IN BEATTY SEQUENCES IN SHORT INTERVALS

PRIMES IN BEATTY SEQUENCES IN SHORT INTERVALS

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.

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Veröffentlicht in:Mathematika 2016, Vol.62 (2), p.572-586
1. Verfasser: Harman, Glyn
Format: Artikel
Sprache:eng
Schlagworte:
11N13 (primary)
11N36 (secondary)
Online-Zugang:Volltext
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Zusammenfassung: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.
ISSN:0025-5793
2041-7942
DOI:10.1112/S0025579315000376