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Authors: DORIN ANDRICA, GEORGE C. ŢURCAŞ.
We present the elliptic equation X3 +2 = Y 2 as the first in a sequence
of Diophantine equations arising from some new results in the theory of partitions of multisets with equal sums. Two proofs for Theorem 2.3, showing that the only integer solutions to this equation are (-1, 1) and (-1,-1), are given.
Mathematics Subject Classisifiation (2010): 14G05, 11P57, 11Y50.
Keywords: Elliptic curves, partitions of a set, Mordell equations, Lutz-Nagell theorem.
