785 reputation
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bio website artofproblemsolving.com/Forum/…
location India
age 19
visits member for 2 years, 7 months
seen 14 hours ago

I'm an undergraduate mathematics student at the Indian Statistical Institute.


18h
awarded  Constituent
Dec
12
comment Product of sums equal to sum of products
${}{}{}{}{}{}{}{}$
Dec
12
comment Product of sums equal to sum of products
Yes.(I had 10 more to go.)
Dec
11
comment Ex. 1.3.10 in Tao's Additive Combinatorics
Well yeah.But I you should check if image of 1/1-z is (contained in) a simply connected space not containing zero as f^k = exp k log f
Dec
10
comment If $f(z)$ is a polynomial function of degree $n \ge 2$, prove that the sum of the residues of $\frac{1}{f(z)}$ is zero
Haha, or in order to do it directly, use Lagrange's Interpolation.
Dec
10
comment Ex. 1.3.10 in Tao's Additive Combinatorics
added an answer. do you have any comments?
Dec
9
answered Ex. 1.3.10 in Tao's Additive Combinatorics
Dec
9
awarded  Caucus
Dec
5
revised Investigate whether there exists a function $f : [a,b]\rightarrow R$ that is continuous and that takes exactly twice each of its values.
edited body
Dec
5
answered Investigate whether there exists a function $f : [a,b]\rightarrow R$ that is continuous and that takes exactly twice each of its values.
Dec
5
comment Investigate whether there exists a function $f : [a,b]\rightarrow R$ that is continuous and that takes exactly twice each of its values.
The accepted solution is not helpful
Dec
5
answered one-to-one holomorphic map of $\mathbb{C}$ onto itself must be of the form $az+b$?
Nov
30
revised If $f$ is ananlytic in $D_r(z_0)$\ {$z_0$} and $Ref(z)>0$ for all $z\in D_r(z_0)$\ {$z_0$} then $z_0$ is a removable singularity
deleted 2 characters in body
Nov
30
answered If $f$ is ananlytic in $D_r(z_0)$\ {$z_0$} and $Ref(z)>0$ for all $z\in D_r(z_0)$\ {$z_0$} then $z_0$ is a removable singularity
Nov
27
revised $f$ is either univalent or constant
added 62 characters in body
Nov
27
comment $f$ is either univalent or constant
Rouche's theorem.
Nov
27
answered $f$ is either univalent or constant
Nov
24
answered Geometrical Interpretation of Cauchy Riemann equations?
Nov
24
revised fixed point for analytic function in a connect set
eddited the problem to make w a domain
Nov
24
comment fixed point for analytic function in a connect set
Why is this problem On hold? I can completely answer it when $\omega$ is simply-connected. If $\omega = \mathbb{C}$, the condition is not met. So, we can assume $\omega \ne \mathbb{C}$, and then the Riemann Open mapping theorem helps you to reduce the problem to a disk.. and then one can use Rouche's theorem to show that there is a unique fixed point.