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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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Status of Gao's Conjecture

First of all, Gao's conjecture was that there does not exist a super square balanced set in a Finite field. Square balanced sets are known, in fact, Gao himself, in his paper, given an example of a fa …
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