Terminal digits under Zeckendorf expansion

The normality, Benford's Law, and Dirichlet's Theorem on primes in arithmetic progressions are well-known examples of topics on the digit distributions of a sequence under base-a expansion. In this paper, we introduce a result on the distribution of the terminal digits of linear sequences under Zeckendorf expansion.

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Publication Details

Journal
Mathematical communications
Published
2025-09-22
DOI
https://doi.org/10.64785/mc.30.2.6
Primary Topic
Benford’s Law and Fraud Detection
Type
article
Field-Weighted Citation Impact
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article

Terminal digits under Zeckendorf expansion

Sungkon Chang
Mathematical communications
Benford’s Law and Fraud Detection
article

Terminal digits under Zeckendorf expansion

Sungkon Chang
article en

Abstract

The normality, Benford's Law, and Dirichlet's Theorem on primes in arithmetic progressions are well-known examples of topics on the digit distributions of a sequence under base-a expansion. In this paper, we introduce a result on the distribution of the terminal digits of linear sequences under Zeckendorf expansion.

Mathematical communicationsVol. 30(2)
Georgia Southern University (US)
Openalex Percentile: Top 76%
Benford’s Law and Fraud Detection
DOIOpen Access PDFOpenAlex
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