SQUAREFREE NUMBERS IN THE SEQUENCE [αn]
https://doi.org/10.22405/2226-8383-2013-14-3-42-48
Abstract
An asymptotic formula for the number of squarefree integers of the form [αn] is proved in the paper, where α is an algebraic number or a number with restricted partial quotients.
About the Author
D. V. Goryashin
Московский государственный университет им. М. В. Ломоносова
Russian Federation
Russian Federation
References
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2. Abercrombie A. G., Banks W. D., Shparlinski I. E. Arithmetic functions on Beatty sequences // Acta Arith. 2009. Vol. 136, № 1. P. 81—89.
3. Архипов Г. И., Садовничий В. А., Чубариков В. Н. Лекции по математическому анализу. 3-е изд., перераб. и доп. М.: Дрофа, 2003.
Review
For citations:
Goryashin D.V. SQUAREFREE NUMBERS IN THE SEQUENCE [αn]. Chebyshevskii Sbornik. 2013;14(3):42-48. (In Russ.) https://doi.org/10.22405/2226-8383-2013-14-3-42-48
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