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arXiv · 0908.0879

A generalised Kummer's Conjecture

Marilyn Myers
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Abstract

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.

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Marilyn Myers. 2009-08-06. A generalised Kummer's Conjecture. https://arxiv.org/abs/0908.0879

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