Quantum integers and cyclotomy
Number Theory
2016-12-30 v1 Quantum Algebra
Abstract
A sequence of functions {f_n(q)}_{n=1}^{\infty} satisfies the functional equation for multiplication of quantum integers if f_{mn}(q) = f_m(q)f_n(q^m) for all positive integers m and n. This paper describes the structure of all sequences of rational functions with rational coefficients that satisfy this functional equation.
Cite
@article{arxiv.math/0310005,
title = {Quantum integers and cyclotomy},
author = {Alexander Borisov and Yang Wang and Melvyn B. Nathanson},
journal= {arXiv preprint arXiv:math/0310005},
year = {2016}
}
Comments
11 pages; LaTex