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Jun
15
reviewed Approve Asymptotic behaviour of $n\log(n)$
Jun
11
asked Does the index of a curve determine the asymptotic behaviour of certain vector fields?
Jun
3
comment $\int_{-\infty}^{+\infty} e^{-x^2} dx$ with complex analysis
@t.b. Could you consider making an answer detailing the use of $\vartheta$ functions to solve this?
Jun
1
comment If a function's zeroes are doubly periodic, must that function be elliptic?
@QiaochuYuan Of course.
Jun
1
asked If a function's zeroes are doubly periodic, must that function be elliptic?
Jun
1
comment What is the sum of all complex integers?
Perhaps make it explicit in the question that you're looking for the analytic continuation of $f(s)$, not just a special case of the analytic continuation.
Jun
1
comment Is this function familiar to anyone?
It's foreseeable that you could analytically continue $f_a(z)$ for all complex $a \ne 2$.
Jun
1
comment Is this function familiar to anyone?
This one.
Jun
1
answered Is this function familiar to anyone?
Jun
1
comment What is the sum of all complex integers?
I suppose this is equivalent to proving a Zeta reflection formula-like identity (see here) for $f(s)$.
May
31
awarded  Informed
May
20
comment Manifolds and magnetic potential
@GiuseppeNegro Arnold looks about right. I'll leave the question open as I don't think I could read Arnold very quickly.
May
20
comment Manifolds and magnetic potential
@GiuseppeNegro Thank you, that goes some of the way to clearing up concerns about the behaviour of the potential: I haven't seen the vector potential as applied to Lagrangian mechanics yet. However, the question concerning my hunch about manifolds still stands.
May
20
asked Manifolds and magnetic potential
May
19
comment Evaluating $\int_0^\infty \frac {\cos {\pi x}} {e^{2\pi \sqrt x} - 1} \mathrm d x$
I'm not sure which paper it is exactly. He touches on it here, but doesn't solve it to the extent given above.
May
19
comment Evaluating $\int_0^\infty \frac {\cos {\pi x}} {e^{2\pi \sqrt x} - 1} \mathrm d x$
Should there be an equality somewhere in the second line?
May
17
comment Proving that nth derivate of $x e^{-x}$ is $(-1)^n (e^{-x})(x-n)$ by induction.
As a reply to 'always?', note that sometimes for step $1$ you will prove that the claim is true for all n up to $n$, then prove it for $n+1$ (as opposed to just for $n$). Also, you may occasionally assume it for $n,n-1$ and $n-2$ (for example), then prove it for $n+1$.
May
17
awarded  Necromancer
May
14
comment When is $\sum_{n \ge 0} g_n(z)$ analytic?
Please don't delete these comments, they have been useful to me.
May
13
revised Which operators commute with integration?
edited title