Bounds on Zeckendorf Games-Reference-Cited by-同舟云学术

Bounds on Zeckendorf Games

Published:2022-02 Issue:1 Volume:60 Page:57-71
ISSN:0015-0517
Container-title:The Fibonacci Quarterly
language:en
Short-container-title:The Fibonacci Quarterly

Author:

Cusenza Anna¹,Dunkelberg Aidan²,Huffman Kate³,Ke Dianhui⁴,McClatchey Micah⁵,Miller Steven J.⁶,Mizgerd Clayton⁶,Tiwari Vashisth⁷,Ye Jingkai⁸,Zheng Xiaoyan⁹

Affiliation:

1. University of California, Los Angeles, Los Angeles, CA 90095 Email address:

2. Williams College, Williamstown, MA01267 Email address:

3. University of Alabama, Tuscaloosa, AL35401 Email address:

4. University of Michigan, Ann Arbor, MI48109 Email address:

5. Houghton College, Houghton, NY14744 Email address:

6. Department of Mathematics and Statistics, Williams College, Williamstown, MA01267 Email address:

7. University of Rochester, Rochester, NY14627 Email address:

8. Whitman College, 280 Boyer Avenue, Walla Walla, WA, 99362 Email address:

9. Washington University in St. Louis, St. Louis, MO 63130 Email address:

Publisher

Informa UK Limited

Link

https://www.tandfonline.com/doi/pdf/10.1080/00150517.2022.12427498

Reference10 articles.

1. The generalized Zeckendorf game;Baird-Smith P.;The Fibonacci Quarterly (Proceedings of the 18th Conference),2019

2. P. Baird-Smith A.Epstein K.Flint 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.

3. A. Cusenza , A.Dunkelberg, K.Huffman, D.Ke, D.Kleber, S. J.Miller, C.Mizgerd, V.Tiwari, J.Ye, and X.Zheng, Winning strategy for the multiplayer and multialliance Zeckendorf games, preprint. https://arxiv.org/pdf/2009.03708.

4. The Fibonacci Quarterly;Hoggatt V. E.;Generalized Zeckendorf theorem,1972

5. The Fibonacci Quarterly;Keller T. J.;Generalizations of Zeckendorf’s theorem,1972