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Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields (CROSBI ID 253061)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Gaál, István ; Jadrijević, Borka ; Remete, László Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields // International Journal of Number Theory, 15 (2019), 1; 11-27. doi: 10.1142/S1793042118501695

Podaci o odgovornosti

Gaál, István ; Jadrijević, Borka ; Remete, László

engleski

Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields

The families of simplest cubic, simplest quartic and simplest sextic fields and the related Thue equations are well known. The family of simplest cubic Thue equations was already studied in the relative case, over imaginary quadratic fields. In the present paper, we give a similar extension of simplest quartic and simplest sextic Thue equations over imaginary quadratic fields. We explicitly give the solutions of these infinite parametric families of Thue equations over arbitrary imaginary quadratic fields.

relative Thue equations ; simplest quartic fields ; simplest sextic fields

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Podaci o izdanju

15 (1)

2019.

11-27

objavljeno

1793-0421

1793-7310

10.1142/S1793042118501695

Povezanost rada

Matematika

Poveznice
Indeksiranost