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This article is cited in 12 scientific papers (total in 12 papers)
Description and Exact Maximum and Minimum Values of the Remainder in the Problem of the Distribution of Fractional Parts
V. V. Krasil'shchikov, A. V. Shutov Vladimir State Pedagogical University
Abstract:
We obtain a description of the maximum and minimum values of the remainder in the problem of the distribution of fractional parts. The exact maximum and minimum values of the remainder are calculated; they are independent of the length of the bounded remainder interval. It is shown that these values can be computed in $O(m)$ operations. The remainder is described as a function of the argument $\alpha$.
Keywords:
distribution of fractional parts, maximum and minimum values of the remainder, bounded remainder set.
Received: 08.07.2008 Revised: 18.03.2010
Citation:
V. V. Krasil'shchikov, A. V. Shutov, “Description and Exact Maximum and Minimum Values of the Remainder in the Problem of the Distribution of Fractional Parts”, Mat. Zametki, 89:1 (2011), 43–52; Math. Notes, 89:1 (2011), 59–67
Linking options:
https://www.mathnet.ru/eng/mzm5266https://doi.org/10.4213/mzm5266 https://www.mathnet.ru/eng/mzm/v89/i1/p43
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Abstract page: | 571 | Full-text PDF : | 192 | References: | 45 | First page: | 5 |
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