The Accelerated Zeckendorf Game-Reference-Cited by-同舟云学术

The Accelerated Zeckendorf Game

Published:2024-02-02 Issue:1 Volume:62 Page:3-14
ISSN:0015-0517
Container-title:The Fibonacci Quarterly
language:en
Short-container-title:The Fibonacci Quarterly

Author:

Garcia-Fernandezsesma Diego¹,Miller Steven J.²,Rascon Thomas³,Vandegrift Risa⁴,Yamin Ajmain⁵

Affiliation:

1. Department of Mathematics and Statistics, Boston University, Boston, MA, 02215 Email address:

2. Department of Mathematics and Statistics, Williams College, Williamstown, MA, 01267 Email address:

3. Department of Mathematics, University of California, San Diego, CA, 92093 Email address:

4. Department of Mathematics, University of Minnesota, Minneapolis, MN, 55455 Email address:

5. Department of Mathematics, City University of New York, New York, NY, 10016 Email address:

Publisher

Informa UK Limited

Link

https://www.tandfonline.com/doi/pdf/10.1080/00150517.2024.12427372

Reference29 articles.

1. B. Baily J. Dell I. Durmić H. Fleischmann F. Jackson I. Mijares S. J. Miller E. Pesikoff L. Reifenberg A. S. Reina and Y. Yang The generalized Bergman game The Fibonacci Quarterly 60.5 (2022) 18–38. https://fq.math.ca/Papers1/60-5/baily.pdf.

2. P. Baird-Smith A. Epstein K. Flynt and S. J. Miller The Generalized Zeckendorf Game Proceedings of the 18th International Conference on Fibonacci Numbers and Their Applications The Fibonacci Quarterly 57.5 (2019) 1–14. https://arxiv.org/pdf/1809.04883.

3. P. Baird-Smith A. Epstein K. Flynt and S. J. Miller The Zeckendorf Game Combinatorial and Additive Number Theory III CANT New York USA 2017 and 2018 Springer Proceedings in Mathematics & Statistics 297 (2020) 25–38. https://arxiv.org/pdf/1809.04881.

4. O. Beckwith A. Bower L. Gaudet R. Insoft S. Li S. J. Miller and P. Tosteson The average gap distribution for generalized Zeckendorf decompositions The Fibonacci Quarterly 51.1 (2012) 13–27. https://fq.math.ca/Papers1/51-1/BeckwithBowerGaudeInsoftLiMillerTosteson.pdf.

5. A. Best P. Dynes X. Edelsbrunner B. McDonald S. Miller K. Tor C. Turnage-Butterbaugh M. Weinstein Gaussian behavior of the number of summands in Zeckendorf decompositions in small intervals The Fibonacci Quarterly 52.5 (2014) 47–53. https://fq.math.ca/Papers1/52-5/Best-Gaussian.pdf.