Number Theory


Elementary Proof that Hall’s Conjecture is False

Authors: Stephen Marshall

In mathematics, Hall's conjecture is an open question, as of 2015, on the differences cube x3 that are not equal must lie a substantial distance apart. This question arose from consideration of the Mordell equation in the theory of integer points on elliptic curves. The original version of Hall's conjecture, formulated by Marshall Hall, Jr. in 1970, says that there is a positive constant C such that for any integers x and y for which y2 ≠ x3,

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[v1] 2017-02-22 16:11:33

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