1. ## a sum problem

I encounter a problem and i try to solve it for hours, still i could not solve it.

$\displaystyle \sum_{k=1}^n \log^s{k}$

what is the result? I really need help.

2. Originally Posted by shiningstarpxx
I encounter a problem and i try to solve it for hours, still i could not solve it.

$\displaystyle sum_{k=1}^{n} lg^{s}k$

what is the result? I really need help.
What does $\displaystyle sum_{k=1}^{n} lg^{s}k$ mean?
Can't help if we don't what things mean.

3. Originally Posted by Plato
What does $\displaystyle sum_{k=1}^{n} lg^{s}k$ mean?
Can't help if we don't what things mean.

Sorry, My latex is weak. the formula should be,

$\displaystyle \Sigma_{k=1}^{n} lg^{s}k$ (s is a constant and s>0)

4. Originally Posted by shiningstarpxx
I encounter a problem and i try to solve it for hours, still i could not solve it.

$\displaystyle sum_{k=1}^{n} lg^{s}k$

what is the result? I really need help.
Is this is what you intended?

$\displaystyle \sigma_{k=1}^{n} lg^{s}k$

or this?

$\displaystyle g^sl \sum_{k=1}^{n}k$

.

5. Originally Posted by shiningstarpxx
Sorry, My latex is weak. the formula should be,

$\displaystyle \Sigma_{k=1}^{n} lg^{s}k$ (s is a constant and s>0)
$\displaystyle \sum_{k=1}^n \log_s{k}$ ... maybe?

$\displaystyle \log_s{1}+\log_s{2}+\log_s{3}+ ... + \log_s{n} = \log_s(n!)$