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Article: Quantum integers and cyclotomy

TitleQuantum integers and cyclotomy
Authors
Borisov, AlexanderNathanson, Melvyn B.Wang, Yang
KeywordsCyclotomic polynomials
Polynomial functional equation
Quantum integers
Quantum polynomial
Issue Date2004
Citation
Journal of Number Theory, 2004, v. 109, n. 1, p. 120-135 How to Cite?
DOI: http://dx.doi.org/10.1016/j.jnt.2004.06.015
AbstractA sequence of functions ℱ = {fn(q)}n=1∞ satisfies the functional equation for multiplication of quantum integers if fmn(q) = fm(q)fn(qm) for all positive integers m and n. This paper describes the structure of all sequences of rational functions with coefficients in Q that satisfy this functional equation. © 2004 Elsevier Inc. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/363110
ISSN
0022-314X
2023 Impact Factor: 0.6
2023 SCImago Journal Rankings: 0.780

 

DC FieldValueLanguage
dc.contributor.authorBorisov, Alexander-
dc.contributor.authorNathanson, Melvyn B.-
dc.contributor.authorWang, Yang-
dc.date.accessioned2025-10-10T07:44:38Z-
dc.date.available2025-10-10T07:44:38Z-
dc.date.issued2004-
dc.identifier.citationJournal of Number Theory, 2004, v. 109, n. 1, p. 120-135-
dc.identifier.issn0022-314X-
dc.identifier.urihttp://hdl.handle.net/10722/363110-
dc.description.abstractA sequence of functions ℱ = {f<inf>n</inf>(q)}<inf>n=1</inf>∞ satisfies the functional equation for multiplication of quantum integers if f<inf>mn</inf>(q) = f<inf>m</inf>(q)f<inf>n</inf>(q<sup>m</sup>) for all positive integers m and n. This paper describes the structure of all sequences of rational functions with coefficients in Q that satisfy this functional equation. © 2004 Elsevier Inc. All rights reserved.-
dc.languageeng-
dc.relation.ispartofJournal of Number Theory-
dc.subjectCyclotomic polynomials-
dc.subjectPolynomial functional equation-
dc.subjectQuantum integers-
dc.subjectQuantum polynomial-
dc.titleQuantum integers and cyclotomy-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jnt.2004.06.015-
dc.identifier.scopuseid_2-s2.0-4944266689-
dc.identifier.volume109-
dc.identifier.issue1-
dc.identifier.spage120-
dc.identifier.epage135-

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