Zeckendorf representation of multiplicative inverses modulo a Fibonacci number
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Publication:2699864
DOI10.1007/s00605-022-01724-yOpenAlexW4281701043MaRDI QIDQ2699864
Carlo Sanna, Nadir Murru, Gessica Alecci
Publication date: 19 April 2023
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06101
Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Other number representations (11A67) Elementary number theory (11A99)
Related Items (2)
On the inverse of a Fibonacci number modulo a Fibonacci number being a Fibonacci number ⋮ Unnamed Item
Cites Work
- Generalizing Zeckendorf's theorem to \(f\)-decompositions
- Combinatorial proofs of Zeckendorf representations of Fibonacci and Lucas products
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- On digit expansions with respect to linear recurrences
- Generalized Zeckendorf expansions
- A Number System with an Irrational Base
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- On Periodic Expansions of Pisot Numbers and Salem Numbers
- The Phi Number System Revisited
- On the Zeckendorf representation of smooth numbers
- Representation of Natural Numbers as Sums of Generalised Fibonacci Numbers
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