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- W2043327196 abstract "Let L = Q [α] be a cyclic number field of odd prime degree q over the field Q of rationals. In this paper we give an algorithm to compute the discriminant of L / Q , which relies upon a fast method to find Eisenstein elements in L . The algorithm accepts as input the minimal polynomial of α over Q and a complete factorisation of the discriminant of α, and computes, in time polynomial in the size of the input, a list consisting of all the ramified primes with corresponding Eisenstein elements." @default.
- W2043327196 created "2016-06-24" @default.
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- W2043327196 date "1995-10-01" @default.
- W2043327196 modified "2023-09-27" @default.
- W2043327196 title "Finding eisenstein elements in cyclic number fields of odd prime degree" @default.
- W2043327196 cites W1496801598 @default.
- W2043327196 doi "https://doi.org/10.1017/s0004972700014763" @default.
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