Distribution of cube-free numbers with form \([n^c]\)

DOI10.1007/S11464-017-0652-1zbMath1418.11137OpenAlexW2729795447MaRDI QIDQ721477

Min Zhang, Jin Jiang Li

Publication date: 19 July 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-017-0652-1

zbMATH Keywords

asymptotic formulaexponential sumcube-free number

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37) Trigonometric and exponential sums (general theory) (11L03)

Related Items (7)

DISTRIBUTION OF r-FREE INTEGERS OVER A FLOOR FUNCTION SET ⋮ Piatetski-Shapiro primes in arithmetic progressions ⋮ Square-full numbers in Piatetski-Shapiro sequences ⋮ Unnamed Item ⋮ On a logarithmic equation by primes ⋮ Multiplicative functions of special type on Piatetski-Shapiro sequences ⋮ On the distribution of $(k,r)$-integers in Piatetski-Shapiro sequences

Cites Work

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• The Pjateckii-Sapiro prime number theorem
• 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 \([n^c\)]
• Prime numbers of the form [nc]
• Piatetski-Shapiro sequences
• Three-dimensional exponential sums with monomials
• Some extremal functions in Fourier analysis
• Multiple exponential sums with monomials

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