Modified alternating harmonic series
99542
Does the series $1 + \frac{1}{2} - \frac{1}{3} + \frac{1}{4} + \frac{1}{5} - \frac{1}{6} + \dots$ converge?
67180
Manipulating infinite series
57677
Decomposition of Harmonic function into sum of holomorphic and anti-holomorphic function
31970
Alternating sum of squares of binomial coefficients
26908
Partial Sums of Geometric Series
100932
Does this series with alternating elements converge: $\sum_{k=10}^{+\infty}\frac{(-1)^k}{k+(-1)^k}$?
108461
Sum of Harmonic Numbers
44649
Summing a series having a geometric component
45588
Summing a series with a changing power
55945
Alternating series test for complex series
30480
Continued product in $\sin$ series
128608
Closed form for the series $a+a^p+(a^p)^p+\dots$
124164
($n$-dimensional) Inverse Fourier transform of $\frac{1}{\| \mathbf{\omega} \|^{2\alpha}}$
101011
An intriguing relation between two alternating series
12812
Sum of the alternating harmonic series $\sum_{k=1}^{\infty}\frac{(-1)^{k+1}}{k} = \frac{1}{1} - \frac{1}{2} + \cdots $
10357
Do harmonic numbers have a “closed-form” expression?
137109
Evaluating a summation of inverse squares over odd indices