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Given a polynomial $P$ with integer coefficients in finitely many variables, we denote by $v(P)$ the product of the absolute values of the non-zero coefficients and the non-zero total degrees of the ...

I am trying to evaluate a fairly simple summation: $\sum_{k=1}^n ka^kb^{n-k}$ Which is related to the common identity for $\sum_{k=1}^n ka^k$ available on Wikipedia. I've previously seen lengthy lists ...