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This article is cited in 2 scientific papers (total in 2 papers)
On fractional parts of rapidly growing functions
A. A. Karatsuba Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
We study the behaviour of fractional parts of functions $\alpha\exp([\log^c x]\log x)$,
where $\alpha$ is a real algebraic number of degree $n\geqslant 2$ and $c$ is an arbitrary positive number less than one.
Received: 08.02.2001
Citation:
A. A. Karatsuba, “On fractional parts of rapidly growing functions”, Izv. RAN. Ser. Mat., 65:4 (2001), 89–110; Izv. Math., 65:4 (2001), 727–748
Linking options:
https://www.mathnet.ru/eng/im349https://doi.org/10.1070/IM2001v065n04ABEH000349 https://www.mathnet.ru/eng/im/v65/i4/p89
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Abstract page: | 424 | Russian version PDF: | 195 | English version PDF: | 6 | References: | 83 | First page: | 1 |
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