Law of inertia for the factorization of cubic polynomials - the real case
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Periodical |
| Magazine / Source | Utilitas Mathematica |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | cubic polynomial; type of factorization; discriminant |
| Description | Let D be an integer and let C_D be the set of all monic cubic polynomials x^3 + ax^2 + bx + c with integral coefficients and with the discriminant equal to D. Assume that D<0, D is square-free and 3 does not divide the class number of Q((-3D)^(1/2)). We prove that all polynomials in C_D have the same type of factorization over any Galois field F_p, where p is a prime, p > 3. |
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