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
DOI10.1007/S00010-018-0607-YzbMath1460.39010OpenAlexW2895397038WikidataQ129132711 ScholiaQ129132711MaRDI QIDQ1621486
Publication date: 9 November 2018
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00010-018-0607-y
\(q\)-seriessemigroupcontinued fractionquantum algebraiterationscyclotomic polynomialpolynomial functional equationspecial functionquantum integer
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Other combinatorial number theory (11B75) Polynomials in number theory (11C08) Cyclotomic extensions (11R18) Additive bases, including sumsets (11B13) General theory of functional equations and inequalities (39B05) Cyclotomy (11T22)
Related Items (3)
Cites Work
- Nathanson quantum functional equations and the non-prime semigroup support solutions
- On the solutions of a functional equation arising from multiplication of quantum integers
- On the support base of a functional equation arising from multiplication of quantum integers
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- A COMPLETE DESCRIPTION OF MAXIMAL SOLUTIONS OF FUNCTIONAL EQUATIONS ARISING FROM MULTIPLICATION OF QUANTUM INTEGERS
- On the Grothendieck Group Associated to Solutions of a Functional Equation Arising from Multiplication of Quantum Integers
- Additive Number Theory and the Ring of Quantum Integers
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