How can I resolve $\sum_{x=0}^{\infty} xe^{-x/\theta}$?
87976
How to solve these series?
22657
How to find the sum of the infinite series?
17332
How to compute $\sum\limits_{n=1}^{\infty}\frac{1}{x^n-1}$?
26113
Proving the functional equation $\theta (x) = x^{-\frac{1}{2}} \theta (x^{-1})$ from the Poisson summation formula
57759
Determining the infinite sum $\sum\limits_{n=0}^{\infty}\frac{(-1)^n}{2n+1}$
156720
Evaluate $\sum_ {n=1}^{\infty} \cot^{-1}(2n^2)$
136602
Why is $\int_1^{\infty}(1/x^2)\,dx$  less than $\sum_{n=1}^{\infty} 1/(n^2)$?
59830
How to derive $\sum_{n=0}^\infty 1 = -\frac{1}{2}$ without zeta regularization
157751
Relationship between Partial Harmonic Sum and Logarithm.
52987
$\sum_{n=-\infty}^{\infty}\frac{1}{(n+\alpha)^2}=\frac{\pi^2}{(\sin \pi \alpha)^2}$?
69478
Deducing a $\cos (kx)$ summation from the $e^{ikx}$ summation
9124
Find the exact value of the infinite sum $\sum_{n=1}^\infty \big\{\mathrm{e}-\big(1+\frac1n\big)^{n}\big\}$
45440
$\sum_{n=2}^\infty \frac{1}{(\ln\, n)^2}$ c0nvergence
136444
Evaluating $\sum_{n=0}^\infty\frac{(-1)^n}{3n+1}$
16967
Sum : $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3}$
78542
What is $\sum_{n=1}^{\infty} \frac{n}{2^{\sqrt{n}}}$?
67271
$\sum_{n=-\infty}^{\infty}\frac{1}{(u +n)^2}=\frac{\pi^2}{(\sin \pi u)^2}$