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Oct
30
revised Evaluate $\int_{-1/2}^{1/2}\frac{\sin^4(n\pi f)}{\lvert\sin(\pi f\lvert^{2d}[\sin(\pi f)]^{2}}df$ for any $d\in(-1/2,1]$
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Oct
30
comment Evaluate $\int_{-1/2}^{1/2}\frac{\sin^4(n\pi f)}{\lvert\sin(\pi f\lvert^{2d}[\sin(\pi f)]^{2}}df$ for any $d\in(-1/2,1]$
have you tried $\sin x = \tfrac{1}{2}(e^{ix} - e^{-ix})$ ?
Oct
30
asked What does $\mathrm{codim} V \ll_\delta 1$ mean if codimension can only be $0$ or $1$?
Oct
28
comment Quadratic Sieve
I haven't read it in a while: A Tale of Two Sieves
Oct
28
answered Fundamental group of the complement of $3$ pairwise linked circles in $\mathbb R^{3}$
Oct
28
comment Finding the closure of sets in different topologies.
math.stackexchange.com/a/20650/4997
Oct
28
answered Finding the closure of sets in different topologies.
Oct
28
comment Irrationality proofs not by contradiction
what kind of assumptions does Gauss lemma make?
Oct
20
awarded  Nice Question
Oct
20
comment Translation of a certain proof of $(\sum k)^2 = \sum k^3 $
@mathreadler this is a key point -- I cannot award the bounty without it. we know this formula is more general since the divisor function also does it $ \sum \tau(k)^3 = \big(\sum \tau(k)\big)^2$ Possibly this is not true for all $f$ - then just some short explanation of when this works.
Oct
18
comment Translation of a certain proof of $(\sum k)^2 = \sum k^3 $
OK it's reasonable that $\mathcal{F}(f^3)[0] = \sum f(k)^3$ but can you prove the other side? $$ \big[ \mathcal{F}(f)\ast \mathcal{F}(f)\ast\mathcal{F}(f)\big][0] = \big[\sum f(k)\big]^2$$
Oct
18
comment Geometry of nose in and nose out parking in parking lots
these kinds of curves appear in contact geometry. See What is a Legendrian Knot?
Oct
14
awarded  Promoter
Oct
13
revised Ideals of $\mathbb{Z}[i]$ geometrically
added 236 characters in body
Oct
13
answered Ideals of $\mathbb{Z}[i]$ geometrically
Oct
6
awarded  Custodian
Oct
6
revised Where are the roots going?
added 357 characters in body
Oct
6
answered Where are the roots going?
Oct
6
answered Density of the image of the set $\lbrace (x,x), x\in \mathbb{Z} \rbrace $ in $\mathbb{Z_{p}} \times \mathbb{Z}_{q}$
Oct
6
answered Prove that for all $n\in\mathbb{N}$, $\sqrt{n(n+1)}$ is not an integer.