%0 Journal Article
%T A Computational Criterion for the Irrationality of Some Real Numbers
%J Journal of Algorithms and Computation
%I University of Tehran
%Z 2476-2776
%A Nasehpour, Peyman
%D 2020
%\ 06/01/2020
%V 52
%N 1
%P 97-104
%! A Computational Criterion for the Irrationality of Some Real Numbers
%K Asymptotic average of the decimals
%K Cesaro summation
%K Irrational numbers
%K Simply normal numbers
%R 10.22059/jac.2020.76471
%X 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 finite 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.
%U https://jac.ut.ac.ir/article_76471_fc6f8c7822d83a00dd1f31cf02977993.pdf