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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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$||g_n||_{\infty} < \delta_{n-1}(g)$

It may be a simple question to post it here, but I posted this question in the Math Stack Exchange forum and no one answered me. Let $E$ be a (possibly infinite) alphabet and consider $X = E^{\math …