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11D25 Cubic and quartic equations (12 articles)

• Yang, Hai; Fu, Ruiqin: Integral points on the elliptic curve $y^2=x^3-4p^2x$. (English). Czechoslovak Mathematical Journal, vol. 69 (2019), issue 3, pp. 853-862
• Gaál, István; Petrányi, Gábor: 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
• Yang, Hai; Fu, Ruiqin: The integral points on elliptic curves $y^2=x^3+(36n^2 -9)x-2(36n^2-5)$. (English). Czechoslovak Mathematical Journal, vol. 63 (2013), issue 2, pp. 375-383
• He, Yanfeng; Zhang, Wenpeng: An elliptic curve having large integral points. (English). Czechoslovak Mathematical Journal, vol. 60 (2010), issue 4, pp. 1101-1107
• Luca, Florian; Szalay, László: Congruent numbers with higher exponents. (English). Acta Mathematica Universitatis Ostraviensis, vol. 14 (2006), issue 1, pp. 49-55
• Puchta, Jan-Christoph: On the powerful part of $n\sp 2+1$. (English). Archivum Mathematicum, vol. 39 (2003), issue 3, pp. 187-189
• Dujella, Andrej: Complete solution of a family of simultaneous Pellian equations. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 6 (1998), issue 1, pp. 59-67
• Hlaváček, Miloslav: 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
• Beran, L.: On Bumby's equation $(x^2 - 2)^2 - 2=2y^2$: a solution via pythagorean triples. (English). Acta Universitatis Carolinae. Mathematica et Physica, vol. 28 (1987), issue 1, pp. 39-40
• Mikhailov, I. I.: Некоторые Диофантовы уравнения третьей степени. (Russian) [Some Diophantine equations of the third degree]. Časopis pro pěstování matematiky, vol. 105 (1980), issue 4, pp. 350-353
• Kubíček, Jan: Jednoduché nové řešení diofantické rovnice $A^3+B^3+C^3=D^3$. (Czech) [A simple new solution of the Diophantine equation $A^3+B^3+C^3=D^3$]. Časopis pro pěstování matematiky, vol. 99 (1974), issue 2, pp. 177-178
• Pánek, Augustin: O trojúhelnících racionálních. (Czech) [On the rational triangles]. Časopis pro pěstování mathematiky a fysiky, vol. 6 (1877), issue 5, pp. 235-245