I was doing some algorithm analyses, and I end up with a expression like $\sum_{k=0}^{\log_2n}(\log_2(n/2^k))^p$, where p is a fixed positive integer. I could change it to like $\sum_{i=0}^p(k-i)^p$, but how to compute it and obtain a $\Theta$() notation?
Thanks a lot.