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 9 Homomorphism problem gone wrong 8 How do I show that $a^p + b^p > (a + b)^p$? 7 Calculating the integral $\int_0^{\infty}{\frac{\ln x}{1+x^n}}$ using complex analysis 5 Functoriality of fundamental group 5 How to prove that the zeros of $z^4+iz^3+1$ are in the disk $D(0,\frac{3}{2})$, and determine how many of them are in the first quadrant?

### Reputation (2,766)

 +10 How to prove that the zeros of $z^4+iz^3+1$ are in the disk $D(0,\frac{3}{2})$, and determine how many of them are in the first quadrant? +10 bijective and conformal function $f:H\to D$, $f(z)=\frac{z-z_0}{z-\overline{z_0}}$ +15 Functions belonging to $L^p(\mathbb{R}^n ; \mathbb{R}^m)$ if and only of their norm belongs to $L^p(\mathbb{R}^n)$ +15 Inequality involving trace and operator norm

### Questions (4)

 4 Negative self intersection and section of the conormal sheaf for a singular complex curve 2 A particular product of distributions 1 Function of the incremental ratio tends weakly to a distribution 1 Examples of Pansu differentiable maps

### Tags (81)

 52 complex-analysis × 39 11 algebraic-topology × 4 21 abstract-algebra × 7 11 inequality × 3 20 linear-algebra × 11 10 complex-geometry × 7 20 integration × 7 9 functional-analysis × 6 16 differential-geometry × 8 9 fake-proofs

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