Mathematics
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Yourong 'DZR' Zang

A mathematics student, who dreamed to be good at math. Hardworking and enthusiastic. Love topology, algebra, and complex analysis. Have trouble with number theory and linear algebra. An educator.

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My first year on MathSE...

Total Reputations: 570

Favorite Tags: Hyperbolic Geometry & Real Analysis

My Top Answer:

Show that $\int_ {\mathbb{D}}f(\frac{\alpha(x_1+ix_2)+\beta}{\bar{\beta}(x_1+ix_2)+\bar{\alpha}})d\mu(x_1,x_2)=\int_ {\mathbb{D}}f(x_1+ix_2)d\mu(x_1,x_2)$

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All Questions Answers
Votes Newest
3 Confusion about an author's use of “$A\backslash B$” to indicate a quotient Sep 5 '19
2 Confusion about a proof of every irreducible polynomial has a root in a field extension Oct 21 '19
2 Notation of a Unit Circle: Does $S^1$ only mean a unit circle? Or does it have something to do with symmetric groups? Jul 21 '19
2 Is the following idea rigorous? Nov 18 '19
2 Doubt on a fake proof of $e^{i\pi}=-1$. Dec 17 '19
2 Why is $\zeta(s)=\lim_{x\to\infty}\left(\sum_{n\leqslant x} \frac{1}{n^s}-\frac{x^{1-s}}{1-s}\right)$ for $0<s<1$? Apr 4
2 Does this technique have a name? Apr 11
2 Why do characters of groups have modulus $1$? Apr 18
2 Show $\int_ {\mathbb{D}}f(\frac{\alpha(x_1+ix_2)+\beta}{\bar{\beta}(x_1+ix_2)+\bar{\alpha}})d\mu(x_1,x_2)=\int_ {\mathbb{D}}f(x_1+ix_2)d\mu(x_1,x_2)$ Oct 14 '19
2 How to prove this summation and integral equality? It's related to i factorial. Oct 17 '19
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