Izvorni znanstveni članak
The problem of Diophantus for integers of Q(√−3)
Zrinka Franušić
orcid.org/0000-0003-3481-8057
; Department of Mathematics, University of Zagreb, Bijenička cesta 30, HR-10 000 Zagreb, Croatia
Ivan Soldo
orcid.org/0000-0002-6195-6626
; Department of Mathematics, University of Osijek, Trg Ljudevita Gaja 6, HR-31 000 Osijek, Croatia
Sažetak
We solve the problem of Diophantus for integers of the
quadratic field Q(√−3) by finding a D(z)-quadruple in Z[(1+√−3)/2] for
each z that can be represented as a difference of two squares of integers in Q(√−3), up to finitely many possible exceptions.
Ključne riječi
Diophantine quadruples; quadratic field
Hrčak ID:
127639
URI
Datum izdavanja:
30.9.2014.
Posjeta: 1.466 *