On squares in Piatetski-Shapiro sequences

DOI10.7169/facm/1972zbMath1490.11035OpenAlexW3207749095MaRDI QIDQ2075024

Wei Zhang

Publication date: 11 February 2022

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7169/facm/1972

zbMATH Keywords

exponential sumssquare-freePiatetski-Shapiro sequencesexponent pair

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Special sequences and polynomials (11B83) Estimates on character sums (11L40) Distribution of integers with specified multiplicative constraints (11N25) Arithmetic functions in probabilistic number theory (11K65)

Related Items (1)

On general sums involving the floor function with applications to \(k\)-free numbers

Cites Work

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• Distribution of squarefree integers in non-linear sequences
• Remark on a paper of Stux concerning squarefree numbers in non-linear sequences
• The distribution of square-free numbers of the form \([n^c\)]
• Arithmetic tales. Advanced edition
• Decoupling, exponential sums and the Riemann zeta function
• Squares in Piatetski-Shapiro sequences
• Piatetski-Shapiro sequences
• Three-dimensional exponential sums with monomials
• Some extremal functions in Fourier analysis

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