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On an index formula for the relative class number of a cyclotomic number field

✍ Scribed by Akira Endô

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 218 KB
Volume: 36
Category: Article
ISSN: 0022-314X
DOI: 10.1016/0022-314x(90)90094-8

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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.