Title of article
A Computational Criterion for the Irrationality of Some Real Numbers
Author/Authors
Nasehpour, Peyman Department of Engineering Science - Golpayegan University of Technology
Pages
8
From page
97
To page
104
Abstract
In this paper, we compute the asymptotic average of
the decimals of some real numbers. With the help of
this computation, we prove that if a real number cannot
be represented as a nite decimal and the asymptotic
average of its decimals is zero, then it is irrational. We
also show that the asymptotic average of the decimals
of simply normal numbers is 9/2.
Keywords
Asymptotic average of the decimals , Cesaro sum- mation , Irrational numbers , Simply normal numbers
Journal title
Journal of Algorithms and Computation
Serial Year
2020
Record number
2505242
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