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On the Class Numbers of the Maximal Real Subfields of Cyclotomic Function Fields

✍ Scribed by Humio Ichimura

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
275 KB
Volume
4
Category
Article
ISSN
1071-5797

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✦ Synopsis

For a prime number l, let h> J be the class number of the maximal real subfield of the l-th cyclotomic field. For each natural number N, it is plausible but not yet proved that there exist infinitely many prime numbers l with h> J 'N. We prove an analogous assertion for cyclotomic function fields.

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