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Benford's Law under Zeckendorf expansion

2023/08/31 by Chang, Sungkon, Miller, Steven J.
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2309.00090

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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