Geodesic
The localisation of primes in arithmetic progressions of irrational modulus
Jörg Brüdern1 ; Koichi Kawada2
1Mathematisches Institut Bunsenstrasse 3–5 D-37073 Göttingen, Germany
2Department of Mathematics Faculty of Education Iwate University Morioka, 020–8550 Japan
Colloquium Mathematicum, Tome 123 (2011) no. 1, pp. 53-61

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DOI

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.
DOI : 10.4064/cm123-1-5
Keywords: method counting primes beatty sequence proposed shown asymptotic formula obtained number primes short interval

Jörg Brüdern  1   ; Koichi Kawada  2

1 Mathematisches Institut Bunsenstrasse 3–5 D-37073 Göttingen, Germany
2 Department of Mathematics Faculty of Education Iwate University Morioka, 020–8550 Japan 
Jörg Brüdern; Koichi Kawada. The localisation of primes
 in arithmetic progressions of irrational modulus. Colloquium Mathematicum, Tome 123 (2011) no. 1, pp. 53-61. doi: 10.4064/cm123-1-5
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