Benford's Law under Zeckendorf expansion

Published 31 Aug 2023 in math.NT | (2309.00090v1)

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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