Pregled bibliografske jedinice broj: 946955
Simplest quartic and simplest sextic Thue equations over imaginary quadratic fields
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 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 946955 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Simplest quartic and simplest sextic Thue
equations over imaginary quadratic fields
Autori
Gaál, István ; Jadrijević, Borka ; Remete, László
Izvornik
International journal of number theory (1793-0421) 15
(2019), 1;
11-27
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
relative Thue equations ; simplest quartic fields ; simplest sextic fields
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2013-11-6422 - Diofantove m-torke, eliptičke krivulje, Thueove i indeksne jednadžbe (DIOPHANTINE) (Dujella, Andrej, HRZZ - 2013-11) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Split
Profili:
Borka Jadrijević
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
