Summation of product of two terms depending on same variable as follows:

by Harshkirat Singh   Last Updated June 12, 2019 09:20 AM

I want to know the following summation modulo some prime $m$: $$\sum_{i=0}^k a_n$$ where $$a_n = ((n+1)^p-n^p)*((n+1)^q-n^q) $$ all p, q, k, m are constants. I want to get rid of the variable $n$.



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