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• W2078586424 abstract "In this work, we establish lists for each signature of tenth degree number fields containing a totally real quintic subfield and of discriminant less than $10^{13}$ in absolute value. For each field in the list we give its discriminant, the discriminant of its subfield, a relative polynomial generating the field over one of its subfields, the corresponding polynomial over $mathbb {Q}$, and the Galois group of its Galois closure. We have examined the existence of several non-isomorphic fields with the same discriminants, and also the existence of unramified extensions and cyclic extensions." @default.
• W2078586424 created "2016-06-24" @default.
• W2078586424 creator A5048094790 @default.
• W2078586424 date "2000-03-02" @default.
• W2078586424 modified "2023-10-13" @default.
• W2078586424 title "Quadratic extensions of totally real quintic fields" @default.
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• W2078586424 doi "https://doi.org/10.1090/s0025-5718-00-01210-2" @default.
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