Golden Binomials and Carlitz Characteristic Polynomials
Quantum Algebra
2020-12-22 v1
Abstract
The golden binomials, introduced in the golden quantum calculus, have expansion determined by Fibonomial coefficients and the set of simple zeros given by powers of Golden ratio. We show that these golden binomials are equivalent to Carlitz characteristic polynomials of certain matrices of binomial coefficients. It is shown that trace invariants for powers of these matrices are determined by Fibonacci divisors, quantum calculus of which was developed very recently.
Cite
@article{arxiv.2012.11001,
title = {Golden Binomials and Carlitz Characteristic Polynomials},
author = {Oktay K Pashaev and Merve Özvatan},
journal= {arXiv preprint arXiv:2012.11001},
year = {2020}
}
Comments
17 pages