科研之友
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摘要
Kummer's conjecture predicts the rate of growth of the relative class numbers of cyclotomic fields of prime conductor. We extend Kummer's conjecture to cyclotomic fields of conductor n, where n is any natural number. We show that the Elliott Halberstam conjecture implies that this generalised Kummer's conjecture is true for almost all n but is false for infinitely many n.
- 出版日期2010-9
