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Computation of the first factor of the class number of cyclotomic fields

✍ Scribed by Gilbert Fung; Andrew Granville; Hugh C Williams

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 749 KB
Volume: 42
Category: Article
ISSN: 0022-314X
DOI: 10.1016/0022-314x(92)90095-7

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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.