On the indices of multiquadratic number fields
Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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Attila Pethő, Michael E. Pohst (2012)
Acta Arithmetica
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APPS. Applied Sciences
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Acta Arithmetica
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The determination of the class number of totally real fields of large discriminant is known to be a difficult problem. The Minkowski bound is too large to be useful, and the root discriminant of the field can be too large to be treated by Odlyzko's discriminant bounds. We describe a new technique for determining the class number of such fields, allowing us to attack the class number problem for a large class of number fields not treatable by previously known methods. We give an application...
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