The distribution of square-free numbers of the form \([n^c]\)
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Publication:1292620
DOI10.5802/jtnb.229zbMath0926.11066OpenAlexW1996122521MaRDI QIDQ1292620
Publication date: 23 June 1999
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=JTNB_1998__10_2_287_0
Estimates on exponential sums (11L07) Distribution of integers with specified multiplicative constraints (11N25)
Related Items (12)
CONSECUTIVE SQUARE-FREE NUMBERS IN PIATETSKI-SHAPIRO SEQUENCES ⋮ DISTRIBUTION OF r-FREE INTEGERS OVER A FLOOR FUNCTION SET ⋮ On a sum involving certain arithmetic functions on Piatetski-Shapiro and Beatty sequences ⋮ On a variant of the prime number theorem ⋮ Square-full numbers in Piatetski-Shapiro sequences ⋮ Unnamed Item ⋮ Distributions of finite sequences represented by polynomials in Piatetski-Shapiro sequences ⋮ Distribution of cube-free numbers with form \([n^c\)] ⋮ CONSECUTIVE SQUARE-FREE NUMBERS OF THE FORM [nc, [nc] + 1] ⋮ On squares in Piatetski-Shapiro sequences ⋮ 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 lattice point problem of many-dimensional hyperboloids I
- Primes of the form \([n^ c\)]
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