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This article is cited in 7 scientific papers (total in 7 papers)
An approach to the transformation of periodic sequences
V. G. Chirskiia, A. Yu. Nesterenkob a Lomonosov Moscow State University
b National Research University "Higher School of Economics" (HSE), Moscow
Abstract:
We consider a periodic sequence $\{c_k\}_{k=0}^\infty$ and investigate a numerical properties of an irrational number $\alpha = \sum_{k=0}^\infty \frac{c_k}{k!}$. As an application of our results we present a simple transformation of periodic sequence $\{c_k\}_{k=0}^\infty$ into aperiodic sequence.
Keywords:
irrationality, Ziegel – Shidlovskii method, linear independency measure, aperiodic sequence.
Received: 24.06.2015
Citation:
V. G. Chirskii, A. Yu. Nesterenko, “An approach to the transformation of periodic sequences”, Diskr. Mat., 27:4 (2015), 150–157; Discrete Math. Appl., 27:1 (2017), 1–6
Linking options:
https://www.mathnet.ru/eng/dm1354https://doi.org/10.4213/dm1354 https://www.mathnet.ru/eng/dm/v27/i4/p150
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Abstract page: | 466 | Full-text PDF : | 168 | References: | 51 | First page: | 38 |
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