An elliptic Diophantine equation from the study of partitions
DOI:
https://doi.org/10.24193/subbmath.2019.3.06Keywords:
Elliptic curves, partitions of a set, Mordell equations, Lutz-Nagell theorem.Abstract
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 Classification (2010): 14G05, 11P57, 11Y50.
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