Alternating sum of reciprocals
12812
Sum of the alternating harmonic series $\sum_{k=1}^{\infty}\frac{(-1)^{k+1}}{k} = \frac{1}{1} - \frac{1}{2} + \cdots $
67502
Sum of reciprocal prime numbers
22441
Does the sum of reciprocals of primes converge?
122534
Show that $\sum (-1)^{n+1}/n$ = $k$ can be expanded to a sum with $ 1 - 1/2 + 1/3 + 1/5 - 1/4 +1/7 + 1/9 - 1/6 + ....$ which is $3k/2$
6436
Proving an alternating Euler sum: $\sum_{k=1}^{\infty} \frac{(-1)^{k+1} H_k}{k} = \frac{1}{2} \zeta(2) - \frac{1}{2} \log^2 2$
20443
Calculate sum of squares of first $n$ odd numbers
61270
Binomial Theorem Sum
122024
Asymptotic of a sum involving binomial coefficients
62792
Can sum of a rational number and its reciprocal be an integer?
150310
A finite sum of reciprocals of complex numbers cannot be confined to a half-plane
40722
An alternating series ...
125401
Mathematical Induction: Sum of first n odd perfect cubes
145690
Quadratic algorithm for 4-SUM
94060
Sum of square binomial coefficients
14884
Compute a sum with partial fraction decomposition and generating functions
91020
Applications of Gauss sums
54374
Alternating Series Using Other Roots of Unity