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195 Answers

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11
$\int_{0}^{\infty} \frac{\cos x - e^{-x}}{x} \mathrm dx$ Evaluate Integral
11
Compute $\sum_{i,j=1}^{\infty} \frac{(-1)^{i+j}}{i^2+j^2}$
11
Why do we restrict the definition of Lebesgue Integrability?
11
$A_n$ is the only subgroup of $S_n$ of index $2$.
10
Relation between the Dedekind Zeta Function and Quadratic Reciprocity
9
A double series yielding Riemann's $\zeta$
9
Why determinant of a 2 by 2 matrix is the area of a parallelogram?
8
What is the Galois group of $x^n + (x-1)^n $?
8
Prove that infinite ring with finite quotient rings is integral domain
8
integer partitions
8
How to discover how to evaluate the Gauss sum?
8
Why does $\{(x,y,z): z \ge 0\}-\{(x,y,z): y=0,0\leq z \leq 1\}$ have trivial fundamental group?
8
Uniform convergence problem
7
an integer sum of products of tangents
7
Showing that an entire function is a polynomial
7
injective holomorphic functions
7
Configuration space of three points in $\mathbb{R^{3}}$
7
A circle rolls along a parabola
7
Help to compute Tor
7
compact symplectic manifolds
7
Equation of the complex locus: $|z-1|=2|z +1|$
6
Proving: $\operatorname{P.V.} \int^\infty_{-\infty}\frac{\ln(t^2+1)}{t^2-1}dt =\frac{\pi^2}{2}$
6
Does $|x^G|$ divide the order $\langle x^G\rangle$?
6
Showing $E^H = K(\operatorname{Tr}_{E/{E^H}}(a))$
6
A tricky residue theorem problem
6
Geometry: Degrees in more than 4 corners
6
Can Centroid Lies on the Edge of a Polygon?
6
The equivalence of two formulae for the Laplace—Beltrami operator
6
A lady and a monster
6
Why is there no polynomial parametrization for the circle?
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