An answer to the question. A formula is mentioned $$\sum_{k=1}^N \dfrac{1}{ak+b} = \frac{\Psi(N+1+b/a) - \Psi(1+b/a)}{a} = \frac{\ln(N) - \Psi(1+b/a) + O(1/N)}{a}$$ I want a proof for this.
2026-04-07 03:19:22.1775531962
A proof of a representation for $\sum_{n=1}^{N} \frac{1}{ax+b}$
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