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학술저널

NOTE ON CLASS NUMBER OF REAL CYCLOTOMIC FUNCTION FIELD

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We prove that for any positive integer g ¸ 3, there areÀ ql2g real cyclotomic function ¯elds whose conductor has degree · l and ideal class number is divisible by g gcd(2;g) .

1. Introduction

2. Genus theory in function ¯eld

3. Proof of Theorem 1.1

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