11 Number theory
11Yxx Computational number theory
11Y50 Computer solution of Diophantine equations (10 articles)
- : On the diophantine equation $x^2+2^a3^b73^c=y^n $. (English). Archivum Mathematicum, vol. 59 (2023), issue 5, pp. 411-420
- : Integral points on the elliptic curve $y^2=x^3-4p^2x$. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 3, pp. 853-862
- : Weighted Frobenius-Perron operators and their spectra. (English). Mathematica Bohemica, vol. 142 (2017), issue 2, pp. 113-124
- : Calculating all elements of minimal index in the infinite parametric family of simplest quartic fields. (English). Czechoslovak Mathematical Journal, vol. 64 (2014), issue 2, pp. 465-475
- : On the Diophantine equation $x^2+2^\alpha 5^\beta 17^\gamma =y^n$. (English). Communications in Mathematics, vol. 20 (2012), issue 2, pp. 81-88
- : 3-Selmer groups for curves $y^2=x^3+a$. (English). Czechoslovak Mathematical Journal, vol. 58 (2008), issue 2, pp. 429-445
- : Catalanova domněnka dokázána. (Czech) [Catalan's conjecture proved]. Pokroky matematiky, fyziky a astronomie, vol. 50 (2005), issue 4, pp. 280-285
- : Computing all elements of given index in sextic fields with a cubic subfield. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 10 (2002), issue 1, pp. 49-59
- : Complete solution of parametrized Thue equations. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 93-114
- : Lower bounds for perfect rational cuboids. (English). Mathematica Slovaca, vol. 42 (1992), issue 5, pp. 565-582
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