Remark on the minimum discriminant of normal fields
Czechoslovak Mathematical Journal (1989)
- Volume: 39, Issue: 4, page 555-558
- ISSN: 0011-4642
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topKostra, Juraj. "Remark on the minimum discriminant of normal fields." Czechoslovak Mathematical Journal 39.4 (1989): 555-558. <http://eudml.org/doc/13801>.
@article{Kostra1989,
author = {Kostra, Juraj},
journal = {Czechoslovak Mathematical Journal},
keywords = {minimum discriminants; normal extension fields; rational number field of prime degree; integral normal basis},
language = {eng},
number = {4},
pages = {555-558},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Remark on the minimum discriminant of normal fields},
url = {http://eudml.org/doc/13801},
volume = {39},
year = {1989},
}
TY - JOUR
AU - Kostra, Juraj
TI - Remark on the minimum discriminant of normal fields
JO - Czechoslovak Mathematical Journal
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 4
SP - 555
EP - 558
LA - eng
KW - minimum discriminants; normal extension fields; rational number field of prime degree; integral normal basis
UR - http://eudml.org/doc/13801
ER -
References
top- Hilbert D., Die Theorie der algebraischen Zahlkörper, Jber. Deutsch. Math. Verein. 4, 1897.
- Hunter J., The minimum discriminant of quintic fields, Proc. Glasgow Math. Assoc. 3, 1957. (1957) MR0091309
- Lang S., Algebra, (Russian). MIR, Moscow 1968. (1968) Zbl0218.00006
- Leopoldt H. W., Zur Arithmetik in abelschen Zahlkörpern, J. Reine Angew. Math. 209, 1962. (1962) Zbl0204.07101MR0139602
- Narkiewicz W., Elementary and analytic theory of algebraic numbers, PWN, Warszawa 1974. (1974) Zbl0276.12002MR0347767
- Pohst M., The minimum discriminant of seventh degree totally real algebraic number fields. Number theory and algebra, Zassenhaus. Academic Press 1977. (1977) MR0466069
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