The localisation of primes in arithmetic progressions of irrational modulus

Jörg Brüdern; Koichi Kawada

Colloquium Mathematicae (2011)

  • Volume: 123, Issue: 1, page 53-61
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Jörg Brüdern, and Koichi Kawada. "The localisation of primes in arithmetic progressions of irrational modulus." Colloquium Mathematicae 123.1 (2011): 53-61. <http://eudml.org/doc/283806>.

@article{JörgBrüdern2011,
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.},
author = {Jörg Brüdern, Koichi Kawada},
journal = {Colloquium Mathematicae},
keywords = {circle method; irrational numbers; distribution of primes},
language = {eng},
number = {1},
pages = {53-61},
title = {The localisation of primes in arithmetic progressions of irrational modulus},
url = {http://eudml.org/doc/283806},
volume = {123},
year = {2011},
}

TY - JOUR
AU - Jörg Brüdern
AU - Koichi Kawada
TI - The localisation of primes in arithmetic progressions of irrational modulus
JO - Colloquium Mathematicae
PY - 2011
VL - 123
IS - 1
SP - 53
EP - 61
AB - 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.
LA - eng
KW - circle method; irrational numbers; distribution of primes
UR - http://eudml.org/doc/283806
ER -

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