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@article{1379548, author = {Skula, Ladislav and Klaška, Jiří}, article_location = {Winnipeg}, article_number = {March}, keywords = {cubic polynomial; type of factorization; discriminant}, language = {eng}, issn = {0315-3681}, journal = {Utilitas Mathematica}, title = {Law of inertia for the factorization of cubic polynomials - the real case}, volume = {102}, year = {2017} }
TY - JOUR ID - 1379548 AU - Skula, Ladislav - Klaška, Jiří PY - 2017 TI - Law of inertia for the factorization of cubic polynomials - the real case JF - Utilitas Mathematica VL - 102 IS - March SP - 39-50 EP - 39-50 PB - Util Math Publ Inc SN - 03153681 KW - cubic polynomial KW - type of factorization KW - discriminant N2 - 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. ER -
SKULA, Ladislav a Jiří KLAŠKA. Law of inertia for the factorization of cubic polynomials - the real case. \textit{Utilitas Mathematica}. Winnipeg: Util Math Publ Inc, 2017, roč.~102, March, s.~39-50. ISSN~0315-3681.
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