Galois Identities of the three term recurrence
Cheng Lien Lang, Mong Lung Lang
TL;DR
This paper investigates a specific Galois identity involving Lucas and Fibonacci numbers, exploring its mathematical properties and conditions for its validity.
Contribution
It provides a detailed analysis of the identity L_n^2 - 5F_n^2 = 4(-1)^n and examines its implications in number theory.
Findings
The identity holds for all integers n.
Conditions under which the identity is valid are characterized.
Connections to Galois theory are discussed.
Abstract
We study the existence of the identity L_n^2 -5F_n^2 = 4(-1)^n.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Advanced Mathematical Identities · Advanced Combinatorial Mathematics