11 Number theory
11Rxx Algebraic number theory: global fields (1 articles)
11R11 Quadratic extensions (22 articles)
- : Class groups of large ranks in biquadratic fields. (English). Czechoslovak Mathematical Journal, vol. 74 (2024), issue 2, pp. 429-436
- : Bicyclic commutator quotients with one non-elementary component. (English). Mathematica Bohemica, vol. 148 (2023), issue 2, pp. 149-180
- : Lower bound for class numbers of certain real quadratic fields. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 1, pp. 1-14
- : On the class number of the maximal real subfields of a family of cyclotomic fields. (English). Czechoslovak Mathematical Journal, vol. 73 (2023), issue 3, pp. 937-940
- : Note on the Hilbert 2-class field tower. (English). Mathematica Bohemica, vol. 147 (2022), issue 4, pp. 513-524
- : 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
- : On the $2$-class group of some number fields with large degree. (English). Archivum Mathematicum, vol. 57 (2021), issue 1, pp. 13-26
- : On the Hilbert $2$-class field tower of some imaginary biquadratic number fields. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 1, pp. 269-281
- : Exponent of class group of certain imaginary quadratic fields. (English). Czechoslovak Mathematical Journal, vol. 70 (2020), issue 4, pp. 1167-1178
- : Real quadratic number fields with metacyclic Hilbert $2$-class field tower. (English). Mathematica Bohemica, vol. 144 (2019), issue 2, pp. 177-190
- : On the strongly ambiguous classes of some biquadratic number fields. (English). Mathematica Bohemica, vol. 141 (2016), issue 3, pp. 363-384
- : Small discriminants of complex multiplication fields of elliptic curves over finite fields. (English). Czechoslovak Mathematical Journal, vol. 65 (2015), issue 2, pp. 381-388
- : On the Hilbert $2$-class field tower of some abelian $2$-extensions over the field of rational numbers. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 4, pp. 1135-1148
- : Finiteness of a class of Rabinowitsch polynomials. (English). Archivum Mathematicum, vol. 40 (2004), issue 3, pp. 259-261
- : Quadratic extensions of quintic fields of signature $(3,1)$. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 117-123
- : Regular maps in generalized number systems. (English). Mathematica Slovaca, vol. 50 (2000), issue 1, pp. 41-58
- : Fractal dimension of sets induced by bases of imaginary quadratic fields. (English). Mathematica Slovaca, vol. 48 (1998), issue 4, pp. 365-371
- : On the diophantine equation $xy+yz+zx=d$. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 155-158
- : Knebusch-Milnor exact sequence and parity of class numbers. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 4 (1996), issue 1, pp. 83-95
- : Criterion for 3 to be eleventh power. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 3 (1995), issue 1, pp. 37-(43)
- : On representations of numbers by sums of squares and quadratic fields. (English). Archivum Mathematicum, vol. 13 (1977), issue 1, pp. 29-40
- O jedenáctém a dvanáctém Hilbertově problému. (Czech) [On eleventh and twelfth Hilbert's problem]. Pokroky matematiky, fyziky a astronomie, vol. 19 (1974), issue 1, pp. 21-22
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