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Apr
28
answered Expand the Laurent series
Apr
26
answered Find $\theta \neq \sqrt{3}+\sqrt{5}$ such that $\mathbb{Q}(\theta) = \mathbb{Q}(\sqrt{3},\sqrt{5})$. Need a hint to get started.
Apr
24
answered Extensions of the quadratic closure of $\mathbb{Q}$
Apr
24
answered describe explicitly all the ideals of $R/(f(x))$
Apr
20
answered The irreducibility of $ X^q - 3 $ in the field extension $ \mathbb{Q}(\zeta_q, 2^{1/q}) $
Apr
19
answered Splitting field of an irreducible polynomial of degree four
Apr
17
answered If $a \in \mathbb{Z}_5$ and $a \equiv \pm1 \text{ }(\text{mod }5)$, does there exist $x \in \mathbb{Z}_5$ where $x^2 = a$?
Apr
16
answered How to determine the residues of $\frac{z}{\sinh(kz)}$?
Apr
14
answered Please express the first 3 7-adic digits of a root of $x^3-1$ in $\mathbb{Z}_7$ other than 1.
Apr
14
answered Find $ [\mathbb{Q(\alpha)}: \mathbb{Q}] $ where $ \alpha=\zeta+\zeta^3+\zeta^4+\zeta^5+\zeta^9 $
Apr
13
answered Numbers in $\mathbb{Q}_p$ can be written uniquely as $\sum_{i=k}^\infty \alpha_i p_i$
Apr
13
answered Bézout's Identity of polynomials?
Apr
13
answered Formula for calculating the $α$ and $β$ in $gcd(a, b) = αa + βb$
Apr
11
answered Galois extentions
Apr
11
answered Finding last 2 digits of $2016^{500}$ without repeated squaring
Apr
10
answered How to find $W^{\perp}$ in the following polynomial inner product space?
Apr
6
answered Are Euclidean domains exactly the ones which we can define “mod” on?
Apr
6
answered Find a prime $p>5$ such that $x^2 +1$ is reducible in $\mathbb Z_p[x]$
Apr
3
answered How many fields are there between $\mathbb{Q}$ and $\mathbb{Q}(\zeta_{15})$?
Apr
2
answered Splitting fields being Galois