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visits member for 1 year, 7 months
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2d
asked Lang's proof of Cauchy's Theorem
Apr
3
answered Relationship between ord($a$) and ord($a^k$)
Apr
2
asked This $\int_{- \frac{\pi}{2}}^{\frac{\pi}{2}} \frac{e^{in x}dx}{1+\tan^m(x)}$ integral: does a closed form exist?
Apr
2
answered What is $\sum_{n=0}^{\infty}|a_nz^n|^2=\frac{1}{2 \pi}\int_{-\pi}^{\pi}|f(ze^{it})|^2dt$ for?
Apr
2
asked Closed form or asymptotic expansion for $\int_0^m \frac{n^x}{\Gamma(x+1)}dx$?
Mar
21
asked Intuitive basis of Mobius inversion?
Mar
20
answered Volume of a solid in $xyz$-space
Mar
19
asked Proving $\frac{\cos(t \arctan(\sqrt{x}))}{(1+x)^{t/2}}= \sum_{k \ge 0}\frac{\Gamma(t+2k)\Gamma(k+1)}{\Gamma(t)\Gamma(2k+1)}\frac{(-x)^k}{k!}$
Mar
19
asked Ramanujan's 'well known' integral, $\int_\frac{-\pi}{2}^\frac{\pi}{2} (\cos x)^m e^{in x}dx$.
Mar
17
asked Isomorphism between this subgroup of complex numbers and all finitely generated abelian groups ?
Feb
23
asked Bessel functions: proof that $J_0(z)=\frac{1}{\pi}\int_0^\pi e^{i z \cos(\theta)}d \theta$.
Feb
22
asked A nice form for this Beta-like integral $\int_0^\frac{\pi}{2} \sin^\alpha(n t) \cos^\beta(t)dt$?
Jan
29
asked Ramanujan's partial fraction decomposition of $\frac{1}{(x^2+a^2)\cdots(x^2+(a+n)^2)}$.
Jan
20
answered Convergence of the integral $\int\limits_{1}^{\infty} \left( \frac{1}{\sqrt{x}} - \frac{1}{\sqrt{x+3}} \right) \, dx$
Dec
28
asked Finding the number of distinct $m$-tuples of distinct numbers whose product is $n$.
Dec
15
asked A closed form for $\sum_{i\cdot j^k=n}(-1)^i$?
Dec
15
answered Prime sum identity
Dec
12
asked Why does $\lim_{x \rightarrow 0} B(x,y)$ exist and how is it calculated?
Dec
6
asked Closed form for $\int_0^1 \frac{x^a dx}{(1+x^b)^c}$.
Nov
30
asked Different methods to prove $\zeta(s)=2^s\pi^{s-1}\sin\left(\frac{s\pi}{2}\right) \Gamma (1-s) \zeta (1-s)$.