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Imaginary Multiquadratic Fields of Class Number 2^k

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Feaver, Amy

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Imaginary Multiquadratic Fields of Class Number 2^k
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7
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Release Date2018
LanguageEnglish

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Abstract
(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 2m 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 2m whenever n>B(m).