Imaginary multiquadratic number fields with class group of exponent 3 and 5
In this paper we obtain a complete list of imaginary n-quadratic fields with class groups of exponent 3 and 5 under extended Riemann hypothesis for every positive integer n where an n-quadratic field is a number field of degree 2^n represented as the composite of n-quadratic fields.
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Veröffentlicht in: | Mathematics of computation 2021-05, Vol.90 (329), p.1483-1497 |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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Zusammenfassung: | In this paper we obtain a complete list of imaginary n-quadratic fields with class groups of exponent 3 and 5 under extended Riemann hypothesis for every positive integer n where an n-quadratic field is a number field of degree 2^n represented as the composite of n-quadratic fields. |
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ISSN: | 0025-5718 1088-6842 |
DOI: | 10.1090/mcom/3609 |