On the Inverse of a Fibonacci Number Modulo a Fibonacci Number Being a Fibonacci Number

Author:

Sanna CarloORCID

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference9 articles.

1. Alecci, G., Murru, N., Sanna, C.: Zeckendorf representation of multiplicative inverses modulo a Fibonacci number. Monatsh. Math. 201(1), 1–9 (2023)

2. Bilu, Y.F., Komatsu, T., Luca, F., Pizarro-Madariaga, A., Stănică, P.: On a divisibility relation for Lucas sequences. J. Number Theory 163, 1–18 (2016)

3. Komatsu, T., Luca, F., Tachiya, Y.: On the multiplicative order of$$F_{n+1}/F_n$$modulo$$F_m$$, Integers 12B (2012/13), no. Proceedings of the Integers Conference, Paper No. A8, 13 (2011)

4. Lee, S.: Twisted torus knots that are unknotted. Int. Math. Res. Not. IMRN 18, 4958–4996 (2014)

5. Luca, F., Stănică, P., Yalçiner, A.: When do the Fibonacci invertible classes modulo $$M$$ form a subgroup? Ann. Math. Inform. 41, 265–270 (2013)

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