# [Calculation 20] Simple Series Calculation for Σ1/(n²ᵏ+c)

(revision of 2012) In this post, we will evaluate the closed form of the series $\sum_n (n^{2k}+x^k)^{-1}$ for $k=2,4,6,\cdots$ and $x>0$. We are going to show the following formula. Calculation 20. For any $ k \in 2 \mathbb N $, and … Continue reading