11 Number theory
11Rxx Algebraic number theory: global fields
11R18 Cyclotomic extensions (27 articles)
-
Azizi, Abdelmalek; Chems-Eddin, Mohamed Mahmoud; Zekhnini, Abdelkader:
On some imaginary triquadratic number fields $k$ with ${\rm Cl}_2(k) \simeq (2, 4)$ or $(2, 2, 2)$.
(English).
Commentationes Mathematicae Universitatis Carolinae,
vol. 62
(2021),
issue 1,
pp. 1-14
-
Dimabayao, Jerome Tomagan:
The torsion subgroup of a family of elliptic curves over the maximal abelian extension of $\mathbb {Q}$.
(English).
Czechoslovak Mathematical Journal,
vol. 70
(2020),
issue 4,
pp. 979-995
-
Zhao, Zhengjun; Wu, Xia:
On the subfields of cyclotomic function fields.
(English).
Czechoslovak Mathematical Journal,
vol. 63
(2013),
issue 3,
pp. 799-803
-
Bugeaud, Yann; Mignotte, Maurice:
Catalanova domněnka dokázána.
(Czech) [Catalan's conjecture proved].
Pokroky matematiky, fyziky a astronomie,
vol. 50
(2005),
issue 4,
pp. 280-285
-
Jakubec, Stanislav:
Computational proof of some theorems on class numbers.
(English).
Mathematica Slovaca,
vol. 54
(2004),
issue 5,
pp. 527-533
-
Vavroš, Michal:
A note on polynomial cycles.
(English).
Acta Mathematica et Informatica Universitatis Ostraviensis,
vol. 10
(2002),
issue 1,
pp. 145-151
-
Jakubec, Stanislav:
An elementary proof of the Davenport-Hasse relation.
(English).
Mathematica Slovaca,
vol. 51
(2001),
issue 2,
pp. 175-178
-
Jedelský, David; Skula, Ladislav:
Some results from the tables of irregularity index of a prime.
(English).
Acta Mathematica et Informatica Universitatis Ostraviensis,
vol. 8
(2000),
issue 1,
pp. 45-50
-
Pomp, Marek; Havelek, Radim:
On representation of cyclotomic fields $\Bbb Q(\zeta_{pq})$.
(English).
Acta Mathematica et Informatica Universitatis Ostraviensis,
vol. 7
(1999),
issue 1,
pp. 71-78
-
Jakubec, Stanislav:
Note on the congruences $2^{p-1}\equiv 1\pmod {p^2}$, $3^{p-1}\equiv 1\pmod {p^2}$, $5^{p-1}\equiv 1\pmod {p^2}$.
(English).
Acta Mathematica et Informatica Universitatis Ostraviensis,
vol. 6
(1998),
issue 1,
pp. 115-120
-
Metsänkylä, Tauno:
On the parity of the class numbers of real abelian fields.
(English).
Acta Mathematica et Informatica Universitatis Ostraviensis,
vol. 6
(1998),
issue 1,
pp. 159-166
-
Agoh, Takashi:
Stickelberger subideals related to Kummer type congruences.
(English).
Mathematica Slovaca,
vol. 48
(1998),
issue 4,
pp. 347-364
-
Jakubec, Stanislav:
Note on the cubic residues.
(English).
Acta Mathematica et Informatica Universitatis Ostraviensis,
vol. 5
(1997),
issue 1,
pp. 61-63
-
Agoh, Takashi; Mori, Kenichi:
Kummer type system of congruences and bases of Stickelberger subideals.
(English).
Archivum Mathematicum,
vol. 32
(1996),
issue 3,
pp. 211-232
-
Kostra, Juraj:
A note on representation of cyclotomic fields.
(English).
Acta Mathematica et Informatica Universitatis Ostraviensis,
vol. 4
(1996),
issue 1,
pp. 29-35
-
Jakubec, Stanislav:
Criterion for 3 to be eleventh power.
(English).
Acta Mathematica et Informatica Universitatis Ostraviensis,
vol. 3
(1995),
issue 1,
pp. 37-(43)
-
Jakubec, Stanislav:
On divisibility of $h\sp +$ by the prime $5$.
(English).
Mathematica Slovaca,
vol. 44
(1994),
issue 5,
pp. 651-661
-
Jakubec, Stanislav:
On divisibility of the class number of real octic fields of a prime conductor $p=n\sp 4+16$ by $p$.
(English).
Archivum Mathematicum,
vol. 30
(1994),
issue 4,
pp. 263-270
-
Skula, Ladislav:
Some bases of the Stickelberger ideal.
(English).
Mathematica Slovaca,
vol. 43
(1993),
issue 5,
pp. 541-571
-
Kučera, Radan; Szymiczek, Kazimierz:
Witt equivalence of cyclotomic fields.
(English).
Mathematica Slovaca,
vol. 42
(1992),
issue 5,
pp. 663-676
-
Cikánek, Petr:
Matrices of the Stickelberger ideals mod $L$ for all primes up to 125,000.
(English).
Archivum Mathematicum,
vol. 27
(1991),
issue 1,
pp. 3-6
-
Skula, Ladislav:
Special invariant subspaces of a vector space over $\bold Z/l\bold Z$.
(English).
Archivum Mathematicum,
vol. 25
(1989),
issue 1,
pp. 35-46
-
Kučera, Radan:
On a certain subideal of the Stickelberger ideal of a cyclotomic field.
(English).
Archivum Mathematicum,
vol. 22
(1986),
issue 1,
pp. 7-19
-
Skula, Ladislav:
Systems of equations depending on certain ideals.
(English).
Archivum Mathematicum,
vol. 21
(1985),
issue 1,
pp. 23-38
-
Selucký, Konstantin; Skula, Ladislav:
Irregular imaginary fields.
(English).
Archivum Mathematicum,
vol. 17
(1981),
issue 2,
pp. 95-112
-
Kühnová, Jitka:
Maillet's determinant $D_{p^{n+1}}$.
(English).
Archivum Mathematicum,
vol. 15
(1979),
issue 4,
pp. 209-212
-
Skula, Ladislav:
On certain ideals of the group ring $\bold Z [G]$.
(English).
Archivum Mathematicum,
vol. 15
(1979),
issue 1,
pp. 53-66