Law of inertia for the factorization of cubic polynomials - the real case

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F17%3A00094733" target="_blank" >RIV/00216224:14310/17:00094733 - isvavai.cz</a>

Alternative codes found

RIV/00216305:26210/17:PU123250

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Law of inertia for the factorization of cubic polynomials - the real case

Original language 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&lt;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 &gt; 3.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GAP201%2F11%2F0276" target="_blank" >GAP201/11/0276: Ideal class groups of algebraic number fields</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Utilitas Mathematica

ISSN

0315-3681

e-ISSN

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Volume of the periodical

102

Issue of the periodical within the volume

March

Country of publishing house

CA - CANADA

Number of pages

12

Pages from-to

39-50

UT code for WoS article

000398243200003

EID of the result in the Scopus database

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