Translator Disclaimer
2001 On the Random Character of Fundamental Constant Expansions
David H. Bailey, Richard E. Crandall
Experiment. Math. 10(2): 175-190 (2001).

Abstract

We propose a theory to explain random behavior for the digits in the expansions of fundamental mathematical constants. At the core of our approach is a general hypothesis concerning the distribution of the iterates generated by dynamical maps. On this main hypothesis, one obtains proofs of base-2 normality---namely bit randomness in a specific technical sense---for a collection of celebrated constants, including π, log 2, ζ(3), and others. Also on the hypothesis, the number ζ(5) is either rational or normal to base 2. We indicate a research connection between our dynamical model and the theory of pseudorandom number generators.

Citation

Download Citation

David H. Bailey. Richard E. Crandall. "On the Random Character of Fundamental Constant Expansions." Experiment. Math. 10 (2) 175 - 190, 2001.

Information

Published: 2001
First available in Project Euclid: 30 August 2001

zbMATH: 1047.11073
MathSciNet: MR1837669

Rights: Copyright © 2001 A K Peters, Ltd.

JOURNAL ARTICLE
16 PAGES


SHARE
Vol.10 • No. 2 • 2001
Back to Top