Marko Riedel

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Well it's me, Marko Riedel. ;-)


137 Answers

newest activity votes
12
Compute $\sum_{k=1}^{\infty}e^{-\pi k^2}\left(\pi k^2-\frac{1}{4}\right)$
10
How to prove this identity $\pi=\sum\limits_{k=-\infty}^{\infty}\left(\frac{\sin(k)}{k}\right)^{2}\;$?
7
Proof of $\frac{1}{e^{\pi}+1}+\frac{3}{e^{3\pi}+1}+\frac{5}{e^{5\pi}+1}+\ldots=\frac{1}{24}$
7
Closed form for $\sum_{n=-\infty}^{\infty}\frac{1}{(n-a)^2+b^2}$.
6
Bubble sorting question
5
Identity for $\zeta(k- 1/2) \zeta(2k -1) / \zeta(4k -2)$?
4
Evaluating a trigonometric integral using residues
4
Summation of series using residues
4
Closed form sum of $\sum^{\infty}_{n=1} \frac{1}{3^n-1}$
4
Integral $\int\limits_0^\infty \prod\limits_{k=0}^\infty\frac{1+\frac{x^2}{(b+1+k)^2}}{1+\frac{x^2}{(a+k)^2}} \ dx$
4
How many 2-edge-colourings of $K_n$ are there?
4
How many ways can one paint the edges of a Petersen graph black or white?
4
Number of acyclic digraphs on $[n]$ with $k$ edges and each indegree, outdegree $\leq 1$
4
Question on Euler Totient, and finding a function
3
Dirichlet series generating function
3
Proof of the number of partitions.
3
Missing term in series expansion
3
contour integration of logarithm
3
Amount of ways to add M nodes to a N length cycle without extra cycles
3
Asymptotic expansion of a series
3
contour integration $\int_0^\infty \frac{dx}{x^p(x^2+2x\cos{\phi}+1)}$
3
Evalulate $\int_{-\infty}^{\infty}\frac{1}{(1+x^{2n})^2}dx$ by using residue theorem
3
Counting the sum of cycles of the elements in $S_n$.
2
Evaluating $\sum_{n=1}^{\infty} \frac{n}{e^{2 \pi n}-1}$ using the inverse Mellin transform
2
On the lengths of the cycles of random permutations
2
In how many different ways can the faces of a regular dodecahedron be colored?
2
Check my answer: A slight modification to the 'hat-check' problem.
2
Evaluate $\int_0^{2\pi} \frac{d\theta}{(1-a\cos(\theta)+a^2)}$
2
series involving $\log \left(\tanh\frac{\pi k}{2} \right)$
2
Number of partitions of a set into even classes
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