# 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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top## How to cite

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. Zbl23.0113.02
- Hunter J., The minimum discriminant of quintic fields, Proc. Glasgow Math. Assoc. 3, 1957. (1957) Zbl0080.03003MR0091309
- 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) Zbl0373.12006MR0466069

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