a floor function derivation

[zetafunction]

given the formula

g(x)= \sum_{n \le x}[ \frac{x}{n}]

has any meaning in number theory ? ,

[ramsey2879]

given the formula

g(x)= \sum_{n \le x}[ \frac{x}{n}]

has any meaning in number theory ? ,

See http://www.research.att.com/~njas/sequences/A006218 . This site should probably be your first choice to find information on any number sequence.