The localisation of primes in arithmetic progressions of irrational modulus
Tom 123 / 2011
Colloquium Mathematicum 123 (2011), 53-61 MSC: 11N13, 11J25. DOI: 10.4064/cm123-1-5
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.