Pregled bibliografske jedinice broj: 942841
Determining elements of minimal index in some infinite families of bicyclic biquadratic number fields
Determining elements of minimal index in some infinite families of bicyclic biquadratic number fields // 30th Journées Arithmétiques
Caen, Francuska, 2017. str. 39-39 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 942841 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Determining elements of minimal index in some infinite families of bicyclic biquadratic number fields
Autori
Jadrijević, Borka
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
30th Journées Arithmétiques
/ - , 2017, 39-39
Skup
30th Journées Arithmétiques
Mjesto i datum
Caen, Francuska, 03.07.2017. - 07.07.2017
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
bicyclic biquadratic fields, power integral basis, minimal index
Sažetak
In this talk we give two different methods for determining monogenity and elements of minimal index in some infinite parametric families of totally real bicyclic biquadratic number fields. In some parametric families we reduced the problem to a system of Pellian equations. Recently, in a joint work with Istvan Gaal, we consider a similar type of family of number fields but we use a quite different technic, involving extensive formal and numerical calculations, as well. These arguments might be useful also in other families of number 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)
