Article ID Journal Published Year Pages File Type
4595210 Journal of Number Theory 2007 11 Pages PDF
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