On symmetries of roots of rational functions and the classification of rational function solutions of functional equations arising from multiplication of quantum integers with prime semigroup supports
type: Item
instance of: scholarly article
title: On symmetries of roots of rational functions and the classification of rational function solutions of functional equations arising from multiplication of quantum integers with prime semigroup supports
zbMATH Open document ID: 1460.39010
author: Lan Nguyen
published in: Aequationes Mathematicae
publication date: 2018-11-09T00:00:00Z
Mathematics Subject Classification ID: 39B05
Mathematics Subject Classification ID: 11B13
Mathematics Subject Classification ID: 11B75
Mathematics Subject Classification ID: 11C08
Mathematics Subject Classification ID: 11R18
Mathematics Subject Classification ID: 11T22
Mathematics Subject Classification ID: 81R50
zbMATH DE Number: 6975538
zbMATH Keywords: quantum integer
zbMATH Keywords: quantum algebra
zbMATH Keywords: cyclotomic polynomial
zbMATH Keywords: \(q\)-series
zbMATH Keywords: iterations
zbMATH Keywords: polynomial functional equation
zbMATH Keywords: continued fraction
zbMATH Keywords: semigroup
zbMATH Keywords: special function
MaRDI profile type: Publication
full work available at URL: s00010-018-0607-y
OpenAlex ID: W2895397038
cites work: Quantum integers and cyclotomy
cites work: Quadratic addition rules for quantum integers
cites work: A functional equation arising from multiplication of quantum integers.
cites work: Q4668907
cites work: Additive Number Theory and the Ring of Quantum Integers
cites work: Q5496826
cites work: A COMPLETE DESCRIPTION OF MAXIMAL SOLUTIONS OF FUNCTIONAL EQUATIONS ARISING FROM MULTIPLICATION OF QUANTUM INTEGERS
cites work: On the solutions of a functional equation arising from multiplication of quantum integers
cites work: On the support base of a functional equation arising from multiplication of quantum integers
cites work: On the Grothendieck Group Associated to Solutions of a Functional Equation Arising from Multiplication of Quantum Integers
cites work: Nathanson quantum functional equations and the non-prime semigroup support solutions
Wikidata QID: Q129132711
DOI: 10.1007/S00010-018-0607-Y
description: scientific article; zbMATH DE number 6975538