Semidirect Products and Functional Equations for Quantum Multiplication

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dc.creatorNathanson, Melvyn B.
dc.date2006-11-20
dc.date.accessioned2026-07-07T07:33:09Z
dc.date.available2026-07-07T07:33:09Z
dc.descriptionThe quantum integer [n]_q is the polynomial 1 + q + q^2 + ... + q^{n-1}, and the sequence of polynomials { [n]_q }_{n=1}^{\infty} is a solution of the functional equation f_{mn}(q) = f_m(q)f_n(q^m). In this paper, semidirect products of semigroups are used to produce families of functional equations that generalize the functional equation for quantum multiplication.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0611619
dc.identifierhttp://arxiv.org/abs/math/0611619
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119359
dc.subjectNumber Theory
dc.subjectQuantum Algebra
dc.subject39B05, 11T22, 30B10, 81R50, 11B13
dc.titleSemidirect Products and Functional Equations for Quantum Multiplication
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