On the classification of solutions of quantum functional equations with cyclic and semi-cyclic supports

DOI10.2478/UDT-2021-0001zbMath1490.81098OpenAlexW3208318307MaRDI QIDQ2129356

Yanyan Li

Publication date: 22 April 2022

Published in: Uniform Distribution Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/udt-2021-0001

zbMATH Keywords

\(q\)-seriessemigroupquantum algebracyclotomypolynomial functional equationquantum integer

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) 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 (2)

Unnamed Item ⋮ Nathanson quantum functional equations and the non-prime semigroup support solutions

Cites Work

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• Nathanson quantum functional equations and the non-prime semigroup support solutions
• The q-analogue of Stirling's formula
• On the solutions of a functional equation arising from multiplication of quantum integers
• \(q\)-analogue of Riemann's \(\zeta\)-function and \(q\)-Euler numbers
• On Carlitz's \(q\)-Bernoulli numbers
• A functional equation arising from multiplication of quantum integers.
• 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
• On the rational function solutions of functional equations arising from multiplication of quantum integers
• On \(q\)-analogues of Riemann's zeta function

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