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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 and Jiří KLAŠKA. Law of inertia for the factorization of cubic polynomials - the real case. \textit{Utilitas Mathematica}. Winnipeg: Util Math Publ Inc, 2017, vol.~102, March, p.~39-50. ISSN~0315-3681.
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