Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4595210 | Journal of Number Theory | 2007 | 11 Pages |
Abstract
We discuss the summation of certain series defined by counting blocks of digits in the B-ary expansion of an integer. For example, if s2(n) denotes the sum of the base-2 digits of n, we show that . We recover this previous result of Sondow and provide several generalizations.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory