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The localisation of primes in arithmetic progressions of irrational modulus

Volume 123 / 2011

Jörg Brüdern, Koichi Kawada Colloquium Mathematicum 123 (2011), 53-61 MSC: 11N13, 11J25. DOI: 10.4064/cm123-1-5

Abstract

A new method for counting primes in a Beatty sequence is proposed, and it is shown that an asymptotic formula can be obtained for the number of such primes in a short interval.

Authors

  • Jörg BrüdernMathematisches Institut
    Bunsenstrasse 3–5
    D-37073 Göttingen, Germany
    e-mail
  • Koichi KawadaDepartment of Mathematics
    Faculty of Education
    Iwate University
    Morioka, 020–8550 Japan
    e-mail

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