Reputation
2,406
Next privilege 2,500 Rep.
Create tag synonyms
Badges
2 8 22
Impact
~27k people reached

Feb
10
accepted Can the real part of an entire function be bounded above by a polynomial?
Feb
9
asked Do we have for $\lim_{r\to \infty}\frac{1}{rlog(r)}(\int_0^{2\pi}u(re^{i\theta})d\theta)$ exists for $u$ subharmonic?
Feb
9
revised Can the real part of an entire function be bounded above by a polynomial?
added 34 characters in body
Feb
9
comment Can the real part of an entire function be bounded above by a polynomial?
@Yves Daoust I don't care which, I just an trying to determine if an upper bound on just the real or imaginary part will force a bound on the entire function.
Feb
9
comment Can the real part of an entire function be bounded above by a polynomial?
@coffeemath Yes! Thank you for catching that mistake!
Feb
9
revised Can the real part of an entire function be bounded above by a polynomial?
edited title
Feb
9
comment Can the real part of an entire function be bounded above by a polynomial?
@user1952009 but what if, $p(z)=iz$ and $f(z)=-z$, so that $e^{p(z)-f(z)}=e^{iz+z}=e^{z}e^{iz}$. Am I making a mistake, it has been a while since I have dealed with complex numbers...
Feb
9
comment Can the real part of an entire function be bounded above by a polynomial?
@user1952009 But if we take $f(z)=-iz$ and $p(z)=iz$, don't we get $e^{i(-iz)-z}=e^{z-iz}=e^ze^{iz}$ which has norm unbounded? I'm sorry, but I'm a bit confused...
Feb
9
comment Can the real part of an entire function be bounded above by a polynomial?
@user1952009 But I'm only thinking about the Real part being bounded, so maybe I'm missing something simple, but how do we see $|f|$ being bounded?
Feb
9
comment Can the real part of an entire function be bounded above by a polynomial?
@MarianoSuárez-Alvarez |exp(if(z))|=exp(-Im(f))$?
Feb
9
comment Can the real part of an entire function be bounded above by a polynomial?
@user1952009 I meant on the entire complex. The question has been edited. Thanks!
Feb
9
revised Can the real part of an entire function be bounded above by a polynomial?
added 22 characters in body; edited title
Feb
9
asked Can the real part of an entire function be bounded above by a polynomial?
Dec
17
awarded  Famous Question
Dec
15
awarded  Great Question
Nov
27
comment Homotopy fixed points of connective K-theory
This is the standard definition I believe (at least it is the one Lurie uses)
Nov
23
comment In group with order of $pq$ what are the possible values for order of an element?
Do you know that the order of a subgroup divides the order of the group?
Nov
23
comment In group with order of $pq$ what are the possible values for order of an element?
By Lagrange, it is either $1, p, q$ or $pq$, can you find an example of each?
Nov
18
comment Prove a real number in $[0,1]$ has at most two decimal expansions
Subtraction makes this a problem about zero. Then work in binary to make it easy
Nov
18
comment Does $0\le A \le B \Rightarrow A^2 \le B^2$ hold?
If $x$ takes values in $\mathbb{C}$, then what do you mean by $\ge 0$? If you restrict to reals, the question is answered by a rotation by $\pi/2$ and the identity matrix.