Quantum integers and cyclotomy

[摘要] A sequence of functions F ={f(n)(q)}(n = 1)(infinity) 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 coefficients in Q that satisfy this functional equation. (C) 2004 Elsevier Inc. All rights reserved.

[发布日期] 2004-11-01

[关键词] quantum integers;quantum polynomial;polynomial functional equation;cyclotomic polynomials