I've got another harmonic series question.
What is the partial sum of the following:
$$\sum_{p=2}^n-\frac{2p^{3-2m}H_p}{{(ap^2-1)}^2}+\frac{2(1-m)p^3H_p}{{(ap^2-1)}^2}+\frac{2mpH_p}{{(ap^2-1)}^2}$$
where $$[a,m] \in \Bbb R$$ I am familiar with two double sums (across two variables) which yield this sum, they are not helpful. I can add them here if required.