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A Computational Criterion for the Irrationality of Some Real Numbers

Peyman Nasehpour

Volume 52, Issue 1 , June 2020, , Pages 97-104

https://doi.org/10.22059/jac.2020.76471

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 finite decimal and the asymptotic average of its decimals is zero, then it is irrational. We also show that the asymptotic ...  Read More