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Fractal analysis of Pi normality

2016/07/28 by Sevcik, Carlos
#FOS: Mathematics #General Mathematics (math.GM)

paper · doi:10.48550/arxiv.1608.00430

Abstract

\beginabstract π, the ratio between a circumference and is radius, is an irrational transcendental number. Fractal analysis is used here to show that π\textquoterights digit sequence corresponds to a uniformly distributed random succession of independent decimal digits, and that these properties get clearer as the number of digits in the series grows towards infinity; 109 digits were tested in this work. This indicates that π is normal.

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