MMN-753
Diophantine quadruples in the ring of integers of the pure cubic field $Q(\sqrt[3]{2})$
Zrinka Franušić;Abstract
We show that in the ring of integers of the pure cubic field Q. 3 2/ there exits a D.w/-
p
quadruple if and only if w can be represented as a difference of two squares of integers in Q. 3 2/.
Vol. 14 (2013), No. 3, pp. 893-903
DOI: 10.18514/MMN.2013.753