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Quantum integers and cyclotomy |
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| Authors: | Alexander Borisov Yang Wang |
| Institution: | a Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA b Department of Computer Science and Mathematics, Lehman College (CUNY), Bronx, NY 10468, USA c Department of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, USA |
| Abstract: | A sequence of functions  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. |
| Keywords: | primary 39B05 81R50 11R18 11T22 11B13 |
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