Tables of Pure Quintic Fields
نویسندگان
چکیده
منابع مشابه
Tables of unit groups and class groups of quintic fields and a regulator bound
Using a new regulator bound we determine unit groups and class groups of the 289040 quintic algebraic number fields with absolute discriminant less than 2 × 107 (totally real fields), respectively 5 × 106 (other signatures). We list significant data.
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Conditionally on the Generalized Riemann Hypothesis (GRH), we prove the following results: (1) a cyclic number field of degree 5 is normEuclidean if and only if ∆ = 114, 314, 414; (2) a cyclic number field of degree 7 is norm-Euclidean if and only if ∆ = 296, 436; (3) there are no norm-Euclidean cyclic number fields of degrees 19, 31, 37, 43, 47, 59, 67, 71, 73, 79, 97. Our proofs contain a lar...
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ژورنال
عنوان ژورنال: Advances in Pure Mathematics
سال: 2019
ISSN: 2160-0368,2160-0384
DOI: 10.4236/apm.2019.94017