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On the distribution of \(\alpha p\) modulo one for primes \(p\) of a special form

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Publication:1951959
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zbMath1329.11075MaRDI QIDQ1951959

Sanying Shi

Publication date: 24 May 2013

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1355926884

zbMATH Keywords

exponential sumssieve methodsums over primes


Mathematics Subject Classification ID

Applications of sieve methods (11N36) Sums over primes (11L20) Distribution modulo one (11J71)


Related Items

Some problems about friable numbers in Piatetski-Shapiro sequence, THE GOLDBACH PROBLEM FOR PRIMES THAT ARE SUMS OF TWO SQUARES PLUS ONE, Distribution of \(\alpha p^2\) modulo one with prime variable \(p\) of a special form



Cites Work

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  • A Bombieri-Vinogradov type exponential sum result with applications
  • On the distribution of \(\alpha p\) modulo one
  • On the distribution of \(\alpha p\) modulo one. II
  • On Chen's theorem. II.
  • The Distribution of αp Modulo One
  • On the distribution of αp modulo one for primes p of a special form
  • The distribution of αp modulo one
  • A new form of the error term in the linear sieve
  • On the distribution of αp modulo 1
  • On the Distribution of αp; Modulo One
  • Almost all short intervals containing prime numbers
  • On the Distribution of αp Modulo One II
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