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Pair correlation of rationals with prime denominators

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Publication:531781
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DOI10.1016/j.jnt.2007.12.006zbMath1219.11114OpenAlexW1979070469MaRDI QIDQ531781

Maosheng Xiong, Alexandru Zaharescu

Publication date: 20 April 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2007.12.006


zbMATH Keywords

Poisson distributionpair correlationprime denominators


Mathematics Subject Classification ID

Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)


Related Items (1)

Pair correlation of roots of rational functions with rational generating functions and quadratic denominators



Cites Work

  • On the distribution of \(\alpha p\) modulo one
  • On the distribution of \(\alpha p\) modulo one. II
  • Diophantine approximation with mild divisibility constraints
  • The Distribution of αp Modulo One
  • On the distribution of αp modulo 1
  • Trigonometric sums over primes II
  • On the Distribution of αp; Modulo One
  • On the Distribution of αp Modulo One II
  • THE CORRELATIONS OF FAREY FRACTIONS
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