1. The problem statement, all variables and given/known data Find all values of p for which the given series converges absolutely: [tex]\sum[/tex] from k=2 to infinity of [1/((logk)^p)]. 2. Relevant equations 3. The attempt at a solution I've tried the ratio test, the root test, limit comparison test ... everything. I know the answer is the null set (that is, for no values of p does the series converge), but I can't prove that rigorously.