For five-sixths of primes p, Hilbert's 10th problem is shown unsolvable over Q(ζ3, ∛p), with a companion result for degree-12 extensions Q(ζ3, √D, ∛p).
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Hilbert's 10th Problem via Mordell curves
For five-sixths of primes p, Hilbert's 10th problem is shown unsolvable over Q(ζ3, ∛p), with a companion result for degree-12 extensions Q(ζ3, √D, ∛p).