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Chang, S and Miller, SJ (2023)

Benford’s Law under Zeckendorf expansion

Preprint arXiv:2309.00090 [math.NT]; last accessed September 12, 2023.

ISSN/ISBN: Not available at this time. DOI: Not available at this time.

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.

@misc{, title={Benford's Law under Zeckendorf expansion}, author={Sungkon Chang and Steven J. Miller}, year={2023}, eprint={2309.00090}, archivePrefix={arXiv}, primaryClass={math.NT}, url = {}, }

Reference Type: Preprint

Subject Area(s): Number Theory, Probability Theory