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6 votes

sum of binary and ternary digits

A paper of Stewart [J. reine angew. Math., 1980] proves that your $\sum_{k \geq 0} (b_k+t_k)$ grows like $\log\log n/\log\log\log n$. This result is effective and rather much more general, but not exp …
Mike Bennett's user avatar
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13 votes
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Lower bound on # of nonzero digits in ternary expansions of powers of 2?

He proves, more generally, for fixed bases a and b for which $\log a/\log b$ is irrational, that the sum of the number of nonzero digits in the base a and base b digits of an integer n exceeds (essentially …
Mike Bennett's user avatar
  • 2,381