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Cyclotomic Function Fields with Ideal Class Number One

✍ Scribed by Stéphan Sémirat

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
139 KB
Volume
236
Category
Article
ISSN
0021-8693

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✦ Synopsis

We list all imaginary cyclotomic extensions ‫ކ‬ x, ⌳ r‫ކ‬ x with ideal class q M Ž x . q number equal to one. Apart from the zero genus ones, there are 17 solutions up to Ž . ‫ކ‬ x -isomorphism: 13 of them are defined over ‫ކ‬ and the 4 remainings are q 3 defined over ‫ކ‬ .

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