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

DOI10.1007/S00233-016-9803-ZzbMath1422.11036OpenAlexW2407624198MaRDI QIDQ512191

Lan Nguyen

Publication date: 24 February 2017

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00233-016-9803-z

zbMATH Keywords

\(q\)-seriessemigroupcyclotomypolynomial functional equationquantum integer

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) General theory of functional equations and inequalities (39B05)

Related Items (4)

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 classification of solutions of quantum functional equations with cyclic and semi-cyclic supports ⋮ Unnamed Item ⋮ On the rational function 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
• On the support base of a functional equation arising from multiplication of quantum integers
• A functional equation arising from multiplication of quantum integers.
• Quantum integers and cyclotomy
• On the classification of solutions of quantum functional equations with cyclic and semi-cyclic supports
• Quadratic addition rules for quantum integers
• 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
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