Number Theory


ABC Conjecture–An Ambiguous Formulation

Authors: Zhang Tianshu

Due to exist forevermore uncorrelated limits of values of real number ε≥0, enable ABC conjecture to be able to be both proved and negated. In this article, we find a representative equality 1+2N(2N-2)=(2N-1)2 satisfying (2N-1)2>[Rad(1, 2N(2N-2), (2N-1)2)]1+ε, then both prove the ABC conjecture and negate the ABC conjecture according to two limits of values of ε.

Comments: 13 Pages.

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Submission history

[v1] 2017-04-16 19:36:57

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