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Vivek Kaushik's user avatar
Vivek Kaushik's user avatar
Vivek Kaushik's user avatar
Vivek Kaushik
  • Member for 7 years, 3 months
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Mathematics Ph.D. Student at University of Illinois Urbana Champaign.

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Top posts
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3
Basel problem and inversive geometry
Jan 8, 2019
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2
Geometric / physical / probabilistic interpretations of Riemann zeta($n>1$)?
May 29, 2018
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20
Proving $\left(1-\frac13+\frac15-\frac17+\cdots\right)^2=\frac38\left(\frac1{1^2}+\frac1{2^2}+\frac1{3^2}+\frac1{4^2}+\cdots\right)$
19
A Challenging Integral: $\int_{0}^{1} \frac{x \arcsin(x/2) \log(x)}{x^2-1} \ dx=\frac{5 \pi^3}{1296}$
19
Prove $\int_{0}^{\infty}\frac{2x}{x^8+2x^4+1}dx=\frac{\pi}{4}$
17
Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$?
11
Quadruple Integral $\int\limits_0^1\!\!\int\limits_0^1\!\!\int\limits_0^1\!\!\int\limits_0^1\frac1{1-xyzw}\,dw\,dz\,dy\,dx$