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Rough values of Piatetski-Shapiro sequences

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Publication:1692324
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DOI10.1007/S00605-016-0993-YzbMath1394.11065OpenAlexW2530245651MaRDI QIDQ1692324

Yıldırım Akbal

Publication date: 26 January 2018

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11693/50350


zbMATH Keywords

exponential sumsPiatetski-Shapiro sequencesrough numbers


Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Distribution of integers with specified multiplicative constraints (11N25)


Related Items (2)

Kloosterman sums with twice-differentiable functions ⋮ Additive energy and a large sieve inequality for sparse sequences




Cites Work

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  • The Pjateckii-Sapiro prime number theorem
  • On the number of positive integers \(\leq x\) and free of prime factors \(>y\)
  • A new iterative method in Waring's problem
  • Exponential sums with monomials
  • A new \(k\)th derivative estimate for exponential sums via Vinogradov's mean value
  • Nombres premiers de la forme ⌊nc⌋
  • Prime numbers of the form [nc]
  • Three-dimensional exponential sums with monomials
  • THE SQUARE-FREE DIVISOR PROBLEM




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