Nalazite se na CroRIS probnoj okolini. Ovdje evidentirani podaci neće biti pohranjeni u Informacijskom sustavu znanosti RH. Ako je ovo greška, CroRIS produkcijskoj okolini moguće je pristupi putem poveznice www.croris.hr
izvor podataka: crosbi !

On elements with index of the form 2^a3^b in a parametric family of biquadratic fields (CROSBI ID 210165)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Jadrijević, Borka On elements with index of the form 2^a3^b in a parametric family of biquadratic fields // Glasnik matematički, 50 (2015), 1; 43-63. doi: 10.3336/gm.50.1.05

Podaci o odgovornosti

Jadrijević, Borka

engleski

On elements with index of the form 2^a3^b in a parametric family of biquadratic fields

In this paper we give some results about primitive integral elements α in the family of bicyclic biquadratic fields L_{; ; ; c}; ; ; =Q(√((c-2)c), √((c+4)c)) which have index of the form μ(α)=2^{; ; ; a}; ; ; 3^{; ; ; b}; ; ; and coprime coordinates in given integral bases. Precisely, we show that if c≥11 and α is an element with index μ(α)=2^{; ; ; a}; ; ; 3^{; ; ; b}; ; ; ≤c+1, then α is an element with minimal index μ(α)=μ(L_{; ; ; c}; ; ; )=12. We also show that for every integer C₀≥3 we can find effectively computable constants M₀(C₀) and N₀(C₀) such that if c≤C₀, than there are no elements α with index of the form μ(α)=2^{; ; ; a}; ; ; 3^{; ; ; b}; ; ; , where a>M(C₀) or b>N(C₀).

index form equations; minimal index; totally real bicyclic biquadratic fields; simultaneous Pellian equations

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

nije evidentirano

Podaci o izdanju

50 (1)

2015.

43-63

objavljeno

0017-095X

10.3336/gm.50.1.05

Povezanost rada

Matematika

Poveznice
Indeksiranost