Take a sequence of positive integers $\{n_d\}_{d\in\Bbb N}$ and fix two positive real numbers $x$ and $y$.
Is there a way to estimate $$ \sum_{d=1}^N\frac{n_d}{x+dy} $$ in function of $x,y$ and $N$?
2026-04-24 22:14:12.1777068852
Approximation of a generalized harmonic series
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