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Results tagged with limits-and-convergence
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user 26522
Convergence of series, sequences and functions and different modes of convergence.
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Letting $S(m)$ be the digit sum of $m$, then $\lim_{n\to\infty}S(3^n)=\infty$?
This follows from W. M. Schmidt's Subspace theorem, which is a deep theorem in diophantine approximations generalizing Roth's to several variables. A full account of this theorem and its proof, as wel …
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