Mathematics
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Bach
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All Questions Answers
Score Newest
answer
10
Finding all the ideals of $\mathbb{Z} [x]/(2, (x^3+1))$?
Apr 20, 2018
question
8
Suppose $ \alpha, \beta>0 $. Compute: $ \int_{0}^{\infty}\frac{\cos (\alpha x)-\cos (\beta x)}{x}dx $
Oct 22, 2018
question
7
Differentiability of $ G(x)=\int_{\mathbb R} e^{tx}f(t)dt $ on $ (0,1) $
Jul 20, 2019
answer
6
Evaluate $\sum_{k=0}^n {{2n + 1}\choose {2k + 1}}$
Mar 28, 2019
answer
6
Evaluate the limit the following series
Jul 20, 2019
question
6
What is the intuition behind the law of quadratic reciprocity?
Feb 6, 2020
question
6
Suppose that $G$ is a group of order $924=2^2\cdot3\cdot7\cdot 11$. Prove that $G$ has an element of order $77$.
May 31, 2019
answer
5
What is the difference between $\Bbb F_4$ and $\Bbb Z/4\Bbb Z$
May 2, 2018
question
5
$f(z)=z^n+a_{n-1}z^{n-1}+\cdots+ a_0\in\mathbb Z[z]$ has all its roots on the unit circle. Prove that any root of $f(z)=0$ is a root of unity.
Aug 14, 2019
answer
5
Proof for maximal ideals in $\mathbb{Z}[x]$
Jun 28, 2019
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