Zeckendorf’s Theorem Using Indices in an Arithmetic Progression-Reference-Cited by-同舟云学术

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Zeckendorf’s Theorem Using Indices in an Arithmetic Progression

Published:2021-11 Issue:4 Volume:59 Page:327-337
ISSN:0015-0517
Container-title:The Fibonacci Quarterly
language:en
Short-container-title:The Fibonacci Quarterly

Author:

Gilson Amelia¹,Killen Hadley¹,Lengyel Tamás²,Miller Steven J.³,Nadia Razek¹,Siktar Joshua M.⁴,Sulkin Liza¹

Affiliation:

1. Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA15213 Email address:

2. Department of Mathematics, Occidental College, 1600 Campus Road, Los Angeles, CA90041 Email address:

3. Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA15213, and Department of Mathematics and Statistics, Williams College, Williamstown, MA01267 Email address:

4. Department of Mathematics, The University of Tennessee-Knoxville, Knoxville, TN37916 Email address:

Publisher

Informa UK Limited

Link

https://www.tandfonline.com/doi/pdf/10.1080/00150517.2021.12427506

Reference36 articles.

1. Differences of multiple Fibonacci numbers;Alpert, H.;Integers,2009

2. Gaps of summands of the Zeckendorf lattice;Borade, N.;The Fibonacci Quarterly,2020

3. A Probabilistic Approach to Generalized Zeckendorf Decompositions

4. Zeckendorf ’s Theorem and some applications;Brown, J. L.;The Fibonacci Quarterly,1964

5. Legal decompositions arising from non-positive linear recurrences;Catral, M.;The Fibonacci Quarterly,2016

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