On the factorization of cubic polynomials with the same discriminant modulo a prime
Result description
Let Din Z and let C_D be the set of all monic cubic polynomilals with integer coefficients having a discriminant equal to D. In this paper, we devise a general method of establishing whether, for a prime p, all polynomials in C_D have the same type of factorization over Galois field F_p.
Keywords
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
On the factorization of cubic polynomials with the same discriminant modulo a prime
Original language description
Let Din Z and let C_D be the set of all monic cubic polynomilals with integer coefficients having a discriminant equal to D. In this paper, we devise a general method of establishing whether, for a prime p, all polynomials in C_D have the same type of factorization over Galois field F_p.
Czech name
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Czech description
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Classification
Type
Jimp - 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
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematica Slovaca
ISSN
0139-9918
e-ISSN
1337-2211
Volume of the periodical
68
Issue of the periodical within the volume
5
Country of publishing house
SK - SLOVAKIA
Number of pages
13
Pages from-to
987-1000
UT code for WoS article
000448428200005
EID of the result in the Scopus database
2-s2.0-85056142621
Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Pure mathematics
Year of implementation
2018