11 Number theory
11Dxx Diophantine equations
11D72 Equations in many variables (9 articles)
- : Lucas sequences and repdigits. (English). Mathematica Bohemica, vol. 147 (2022), issue 3, pp. 301-318
- : A variety of Euler's sum of powers conjecture. (English). Czechoslovak Mathematical Journal, vol. 71 (2021), issue 4, pp. 1099-1113
- : On $x^n + y^n = \lowercase{n!} z^n$. (English). Communications in Mathematics, vol. 26 (2018), issue 1, pp. 11-14
- : On $X_1^4+4X_2^4=X_3^8+4X_4^8$ and $Y_1^4=Y_2^4+Y_3^4+4Y_4^4$. (English). Communications in Mathematics, vol. 23 (2015), issue 2, pp. 113-117
- : Method of infinite ascent applied on $-(2^p\cdot A^6)+B^3=C^2$. (English). Communications in Mathematics, vol. 21 (2013), issue 2, pp. 173-178
- : The method of infinite ascent applied on $A^4 \pm n B^3 = C^2$. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 2, pp. 369-374
- : Diophantine equation $\frac{q^n-1}{q-1}=y$ for four prime divisors of $y-1$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 46 (2005), issue 3, pp. 577-588
- : On the set of solutions of the system $x\sb 1+x\sb 2+x\sb 3=1, x\sb 1x\sb 2x\sb 3=1$. (English). Mathematica Bohemica, vol. 123 (1998), issue 1, pp. 1-6
- : Lower bounds for perfect rational cuboids. (English). Mathematica Slovaca, vol. 42 (1992), issue 5, pp. 565-582
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