Benford's Law under Zeckendorf expansion

Sungkon Chang; Steven J. Miller

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arXiv · 2309.00090

Benford's Law under Zeckendorf expansion

Sungkon Chang·Steven J. Miller

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Abstract

In the literature, Benford's Law is considered for base-b expansions where b>1 is an integer. In this paper, we investigate the distribution of leading "digits" of a sequence of positive integers under other expansions such as Zeckendorf expansion, and declare what Benford's Law should be under generalized Zeckendorf expansion.

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Sungkon Chang, Steven J. Miller. 2023-08-31. Benford's Law under Zeckendorf expansion. https://arxiv.org/abs/2309.00090

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