Rational 2-functions are abelian
We show that the coefficients of rational 2-functions are contained in an abelian number field. More precisely, we show that the poles of such functions are poles of order one and given by roots of unity and rational residue.
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
15 July 2021
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| In: |
Communications in number theory and physics
Year: 2021, Volume: 15, Issue: 3, Pages: 605-614 |
| ISSN: | 1931-4531 |
| DOI: | 10.4310/CNTP.2021.v15.n3.a5 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.4310/CNTP.2021.v15.n3.a5
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| Author Notes: | L. Felipe Müller |
| Summary: | We show that the coefficients of rational 2-functions are contained in an abelian number field. More precisely, we show that the poles of such functions are poles of order one and given by roots of unity and rational residue. |
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| Item Description: | Gesehen am 18.10.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1931-4531 |
| DOI: | 10.4310/CNTP.2021.v15.n3.a5 |