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This article is cited in 1 scientific paper (total in 1 paper)
Mathematics
Parameters recovering algorithm for one class of irrationalities
A. Yu. Nesterenko National Research University "Higher School of Economics", Russia, 109028, Moscow, Bol. Trekhsvjatitel’skij per., 1-3/12, build. 8
Abstract:
In this article we study one class of irrationalities which may be defined as covergent series with rational coefficients. This class contain a lot of well known constants such as $\ln2$, $\pi$, e.t.c. We consider the problem of determination parameters of rational coefficients by rational approximation of irrationality. We deduced the lower and upper bounds and present an algorithm for determination of unknown parameters. Also, we present some results of practical calculations.
Key words:
irrationality, rational approximation.
Citation:
A. Yu. Nesterenko, “Parameters recovering algorithm for one class of irrationalities”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013), 89–93
Linking options:
https://www.mathnet.ru/eng/isu466 https://www.mathnet.ru/eng/isu/v13/i7/p89
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