Naslov
Totally real Thue inequalities over imaginary quadratic fields

Autori
Gaál, István ; Jadrijević, Borka ; Remete, László

Izvornik
Glasnik matematički (0017-095X) 53 (2018), 2; 229-238

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
relative Thue equations ; Thue inequalities

Sažetak
Let F(x, y) be an irreducible binary form of degree ≥ 3 with integer coefficients and with real roots. Let M be an imaginary quadratic field, with ring of integers Z_M. Let K > 0. We describe an efficient method how to reduce the resolution of the relative Thue inequalities |F(x, y)|≤ K (x, y ∈Z¬_M) to the resolution of absolute Thue inequalities of type |F(x, y)|≤ k (x, y ∈Z). We illustrate our method with an explicit example.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA