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
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
