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- Imaginary Multiquadratic Fields of Class Number $2^k$
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Imaginary Multiquadratic Fields of Class Number $2^k$ Feaver, Amy
Description
(Joint work with Anna Puskas) We determine all of the imaginary $n$-quadratic fields with class number dividing 32 by extending on already known results for the class numbers of quadratic and biquadratic fields. Our results provide techniques to find complete lists of imaginary $n$-quadratic fields of class number $2^m$ for nonnegative integers $m$. Further, given a fixed $m>0$ we find a bound $B(m)$ on $n$ for which there are no imaginary $n$-quadratic fields of class number $2^m$ whenever $n>B(m)$.
Item Metadata
Title |
Imaginary Multiquadratic Fields of Class Number $2^k$
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2018-05-13T11:22
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Description |
(Joint work with Anna Puskas) We determine all of the imaginary $n$-quadratic fields with class number dividing 32 by extending on already known results for the class numbers of quadratic and biquadratic fields. Our results provide techniques to find complete lists of imaginary $n$-quadratic fields of class number $2^m$ for nonnegative integers $m$. Further, given a fixed $m>0$ we find a bound $B(m)$ on $n$ for which there are no imaginary $n$-quadratic fields of class number $2^m$ whenever $n>B(m)$.
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Extent |
30.0
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Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: The King's University
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Series | |
Date Available |
2019-03-13
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0376830
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International