Skip to main content
Search type Search syntax
Tags [tag]
Exact "words here"
Author user:1234
user:me (yours)
Score score:3 (3+)
score:0 (none)
Answers answers:3 (3+)
answers:0 (none)
isaccepted:yes
hasaccepted:no
inquestion:1234
Views views:250
Code code:"if (foo != bar)"
Sections title:apples
body:"apples oranges"
URL url:"*.example.com"
Saves in:saves
Status closed:yes
duplicate:no
migrated:no
wiki:no
Types is:question
is:answer
Exclude -[tag]
-apples
For more details on advanced search visit our help page
Results tagged with
Search options answers only not deleted user 7302
13 votes
Accepted

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
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
  • 2,381