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摘要
We prove(under the assumption of the generalized Riemann hypothesis) that a totally real multiquadratic number field K has a positive density of primes p in Z for which the image of O-k(x) in(O-K/pO(K))(x) has minimal index(p - 1)/2 if and only if K contains a unit of norm -1. An explicit formula for this density is provided. We also discuss an application to ray class fields of conductor pO(K).
- 出版日期2017-1
