Uniform Distribution Theory
Journal license

Journal

Uniform Distribution Theory


Volume
& Issue

Volume 8, Issue 2


Published
on

September 13, 2012


Pages

49-120


DOI

Article

On the Classification of Solutions of a Functional Equation Arising from Multiplication of Quantum Integers


Authors

Lan Nguyen Affiliation:
Department of Mathematics The University of Wisconsin-Parkside 900 Wood Road Kenosha, WI 53141 U.S.A.


Abstract

We prove an open problem posed by Melvyn Nathanson concern- ing the solutions of a functional equation arising from multiplication of quantum integers. In this paper we give a complete classification of sequences of polynomi- als whose coefficients are contained in fields of characteristic zero satisfying the functional equation above.


Keywords

quantum integer, functional equation, q-series, cyclotomic polynomial.


Citation

Nguyen, L. (2013). On the classification of solutions of a functional equation arising from multiplication of quantum integers. Uniform Distribution Theory, 8(2), 49–120.

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