11 Number theory
11Rxx Algebraic number theory: global fields
11R18 Cyclotomic extensions (27 articles)
- : 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
- : 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
- : On the subfields of cyclotomic function fields. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 3, pp. 799-803
- : Catalanova domněnka dokázána. (Czech) [Catalan's conjecture proved]. Pokroky matematiky, fyziky a astronomie, vol. 50 (2005), issue 4, pp. 280-285
- : Computational proof of some theorems on class numbers. (English). Mathematica Slovaca, vol. 54 (2004), issue 5, pp. 527-533
- : A note on polynomial cycles. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 145-151
- : An elementary proof of the Davenport-Hasse relation. (English). Mathematica Slovaca, vol. 51 (2001), issue 2, pp. 175-178
- : 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
- : On representation of cyclotomic fields $\Bbb Q(\zeta_{pq})$. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 7 (1999), issue 1, pp. 71-78
- : 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
- : 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
- : Stickelberger subideals related to Kummer type congruences. (English). Mathematica Slovaca, vol. 48 (1998), issue 4, pp. 347-364
- : Note on the cubic residues. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 5 (1997), issue 1, pp. 61-63
- : Kummer type system of congruences and bases of Stickelberger subideals. (English). Archivum Mathematicum, vol. 32 (1996), issue 3, pp. 211-232
- : A note on representation of cyclotomic fields. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 4 (1996), issue 1, pp. 29-35
- : Criterion for 3 to be eleventh power. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 3 (1995), issue 1, pp. 37-(43)
- : On divisibility of $h\sp +$ by the prime $5$. (English). Mathematica Slovaca, vol. 44 (1994), issue 5, pp. 651-661
- : 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
- : Some bases of the Stickelberger ideal. (English). Mathematica Slovaca, vol. 43 (1993), issue 5, pp. 541-571
- : Witt equivalence of cyclotomic fields. (English). Mathematica Slovaca, vol. 42 (1992), issue 5, pp. 663-676
- : 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
- : Special invariant subspaces of a vector space over $\bold Z/l\bold Z$. (English). Archivum Mathematicum, vol. 25 (1989), issue 1, pp. 35-46
- : On a certain subideal of the Stickelberger ideal of a cyclotomic field. (English). Archivum Mathematicum, vol. 22 (1986), issue 1, pp. 7-19
- : Systems of equations depending on certain ideals. (English). Archivum Mathematicum, vol. 21 (1985), issue 1, pp. 23-38
- : Irregular imaginary fields. (English). Archivum Mathematicum, vol. 17 (1981), issue 2, pp. 95-112
- : Maillet's determinant $D_{p^{n+1}}$. (English). Archivum Mathematicum, vol. 15 (1979), issue 4, pp. 209-212
- : On certain ideals of the group ring $\bold Z [G]$. (English). Archivum Mathematicum, vol. 15 (1979), issue 1, pp. 53-66
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