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Asem Abdelraouf

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30 Are these two series really equal to each other? If so, why? Dec 26 '20
4 Prove for some $n\in\mathbb{N}$ there are infinitely many primes $p$ , S.T the numbers $p-1,p+1,p+2$ have $n$ different prime factors . Dec 21 '20
4 $a + bp^\frac{1}{3} + cp^\frac{2}{3} = 0$ Dec 22 '20
4 Prove $\int_{-\pi}^\pi F_n(y) \, dy=1$ Jan 7
3 Chebyshev’s $\theta_1(x) = \sum_{n \leqslant x } (x-n) \Lambda_1 (n)$ Feb 1
3 How to prove a series is not uniform convergent ? $\sum_{n=1}^\infty n^2xe^{-n^2x}$ Dec 23 '20
2 Stein's Complex Analysis Page 46 Theorem 4.1 Dec 24 '20
2 If $g(s) = \int_0^{\infty}\left( f(t)-1\right)t^{s-1} dt$ and $f(t) = \frac{1}{t}f(\frac{1}{t})$ , then $g(s)=g(1-s)$ for all $s$ Dec 22 '20
2 If $n\ge 2$, find $\binom 31 -\binom 42 +\binom 53…(-1)^{n-1} \binom {n+2}{n}$ Dec 28 '20
2 $\lim_{n\to\infty}n^{2020}\int^{\pi/2}_0 \left[(\sin x)^n \cdot (\pi/2-x)^n\right]\,dx$ Jan 30
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