Title of article
Cyclotomic Function Fields with Ideal Class Number One
Author/Authors
Stéphan Sémirat، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
20
From page
376
To page
395
Abstract
We list all imaginary cyclotomic extensions q(x, ΛM(x))/ q(x) with ideal class number equal to one. Apart from the zero genus ones, there are 17 solutions up to q(x)-isomorphism: 13 of them are defined over 3 and the 4 remainings are defined over 4.
Keywords
cyclotomic function fields , class number one problem
Journal title
Journal of Algebra
Serial Year
2001
Journal title
Journal of Algebra
Record number
695315
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