An approach to Zaremba's conjecture throughout Fibonacci sequences
Abstract
According to Zaremba's conjecture, any integer is estimated to occur as the denominator of a finite continued fraction whose partial quotients are restricted by 5. This conjecture is proven true for infinity many integers, and we illustrate it for more additional ones that are related to Fibonacci sequences and its generalization.
Copyright (c) 2024 Khalil Ayadi, Saarik Kalia, Maher Saadaoui
This work is licensed under a Creative Commons Attribution 4.0 International License.
The authors retain all rights to the original work without any restrictions.
License for Published Contents
"Le Matematiche" published articlesa are distribuited with Creative Commons Attribution 4.0 International. You are free to copy, distribute and transmit the work, and to adapt the work. You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
License for Metadata
"Le Matematiche" published articles metadata are dedicated to the public domain by waiving all publisher's rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law.
You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
No Fee Charging
No fee is required to complete the submission/review/publishing process of authors paper.
