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JOURNALS
// Chebyshevskii Sbornik
// Archive
Chebyshevskii Sb.,
2013
Volume 14,
Issue 3,
Pages
42–48
(Mi cheb287)
This article is cited in
2
papers
Squarefree numbers in the sequence
$[\alpha n]$
D. V. Goryashin
M. V. Lomonosov Moscow State University
Abstract:
An asymptotic formula for the number of squarefree integers of the form
$[\alpha n]$
is proved in the paper, where
$\alpha$
is an algebraic number or a number with restricted partial quotients.
Keywords:
squarefree numbers, Beatty sequence, asymptotic formula, exponential sums.
UDC:
511
Received:
18.09.2013
Fulltext:
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Steklov Math. Inst. of RAS
, 2025