On representation of cyclotomic fields ( ζ p q )

Marek Pomp; Radim Havelek

Acta Mathematica et Informatica Universitatis Ostraviensis (1999)

  • Volume: 07, Issue: 1, page 71-78
  • ISSN: 1804-1388

How to cite

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Pomp, Marek, and Havelek, Radim. "On representation of cyclotomic fields $\mathbb {Q}(\zeta _{pq})$." Acta Mathematica et Informatica Universitatis Ostraviensis 07.1 (1999): 71-78. <http://eudml.org/doc/23828>.

@article{Pomp1999,
author = {Pomp, Marek, Havelek, Radim},
journal = {Acta Mathematica et Informatica Universitatis Ostraviensis},
keywords = {cyclotomic extensions; circulant matrix; root of unity; algebraic extensions},
language = {eng},
number = {1},
pages = {71-78},
publisher = {University of Ostrava},
title = {On representation of cyclotomic fields $\mathbb \{Q\}(\zeta _\{pq\})$},
url = {http://eudml.org/doc/23828},
volume = {07},
year = {1999},
}

TY - JOUR
AU - Pomp, Marek
AU - Havelek, Radim
TI - On representation of cyclotomic fields $\mathbb {Q}(\zeta _{pq})$
JO - Acta Mathematica et Informatica Universitatis Ostraviensis
PY - 1999
PB - University of Ostrava
VL - 07
IS - 1
SP - 71
EP - 78
LA - eng
KW - cyclotomic extensions; circulant matrix; root of unity; algebraic extensions
UR - http://eudml.org/doc/23828
ER -

References

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  1. Borevich Z. I, Shafarevich I. R., Number Theory, Moscow, 1964. (1964) 
  2. Davis P. J., Circulant matrices, J. Wiley & Sons, Inc., New York, 1979. (1979) Zbl0418.15017MR0543191
  3. Jakubec S., Kostra J., Nemoga K., 10.1090/S0025-5718-1991-1068814-8, Mathematics of computation 56 (1991), no. 194, 809-815. (1991) Zbl0722.11056MR1068814DOI10.1090/S0025-5718-1991-1068814-8
  4. Jakubec S., Kostra J., A note on normal bases of ideals, Math. Slovaca 42 (1992), no. 5, 677-684. (1992) Zbl0773.11070MR1202181
  5. Jakubec S., Kostra J., On the Existence of a Normal Basis for an Ambiguous Ideal, Atti Sem. Mat. Fis. Univ. Modena XLVI (1998), 125-129. (1998) Zbl0912.11044MR1628605
  6. Kostra J., A Note on Representation of Cyclotomic Fields, Acta Math. Inf. Univ. Ostraviensis 4 (1996), 29-35. (1996) Zbl0870.11068MR1446781

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