TY - JOUR
ID - 76471
TI - A Computational Criterion for the Irrationality of Some Real Numbers
JO - Journal of Algorithms and Computation
JA - JAC
LA - en
SN - 2476-2776
AU - Nasehpour, Peyman
AD - Department of Engineering Science, Golpayegan University of Technology, Golpayegan, Iran
Y1 - 2020
PY - 2020
VL - 52
IS - 1
SP - 97
EP - 104
KW - Asymptotic average of the decimals
KW - Cesaro summation
KW - Irrational numbers
KW - Simply normal numbers
DO - 10.22059/jac.2020.76471
N2 - 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.
UR - https://jac.ut.ac.ir/article_76471.html
L1 - https://jac.ut.ac.ir/article_76471_fc6f8c7822d83a00dd1f31cf02977993.pdf
ER -