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arXiv · 2211.09736

Equidistributions of Sign Patterns of the Liouville Function and Normal Numbers

N. A. Carella
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Abstract

The equidistribution of the double sign patterns of the Liouville function $\lambda$ is proved unconditionally. As application, it is shown that the computable real number $$\sum_{n \geq 1} \frac{1+\lambda(n)}{2^{n}}$$ is a simply normal number in base 4.

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N. A. Carella. 2022-11-05. Equidistributions of Sign Patterns of the Liouville Function and Normal Numbers. https://arxiv.org/abs/2211.09736

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