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herbert granzow on Sat, 23 Aug 2008 16:26:36 +0200
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class number of IQ(2^{1/n})
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- To: pari-users@list.cr.yp.to
- Subject: class number of IQ(2^{1/n})
- From: "herbert granzow" <herbertgranzow@googlemail.com>
- Date: Sat, 23 Aug 2008 16:24:53 +0200
- Delivery-date: Sat, 23 Aug 2008 16:26:36 +0200
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Are there statements about the class number of IQ(2^{1/n}) (beside general
theorems like the Minkowski bound)?
Using PARI, I found that it equals 1 for n <= 46.
Does someone know a n for which the class number is > 1?
It can't be known that it is always 1 since this would solve an open
question.