Results 101 to 110 of about 2,057 (213)

Braiding Fibonacci anyons

open access: yesJournal of High Energy Physics
Fibonacci anyons ε provide the simplest possible model of non-Abelian fusion rules: [1] × [1] = [0] ⊕ [1]. We propose a conformal field theory construction of topological quantum registers based on Fibonacci anyons realized as quasiparticle excitations ...
Ludmil Hadjiivanov, Lachezar S. Georgiev
doaj   +1 more source

Initial number of Lucas’ type series for the generalized Fibonacci sequence

open access: gold, 2021
Siniša Crvenković   +3 more
openalex   +2 more sources

Primes as Sums of Fibonacci Numbers

open access: yesMemoirs of the American Mathematical Society
The purpose of this paper is to discuss the relationship between prime numbers and sums of Fibonacci numbers. One of our main results says that for every sufficiently large integer k k there exists a prime number that can be represented as the sum of k k different and non-consecutive Fibonacci numbers.
Drmota, Michael   +2 more
openaire   +2 more sources

2-Fibonacci polynomials in the family of Fibonacci numbers [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2018
Ali Aydoğdu   +2 more
openaire   +1 more source

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