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lack of understanding roots of unity

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#abstract-algebra #complex-numbers #roots-of-unity
82
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find the $4th$ and $5th$ roots of unity

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#complex-analysis #algebra-precalculus #solution-verification #roots-of-unity
250
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Coercion of roots of unities in MAGMA

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#abstract-algebra #roots-of-unity #magma-cas
93
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If a $p$-adic formal power series $\Phi(T)$ satisfies $\Phi(\zeta-1)\in\mu_{p^\infty}$, then $\Phi(T)=\zeta_0(T+1)^b$?

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#number-theory #algebraic-number-theory #p-adic-number-theory #roots-of-unity
847
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7th roots of unity

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#roots-of-unity
60
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Finding a sum of certain pth roots of unity

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#number-theory #roots-of-unity #exponential-sum
122
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Can we decrease one element of these sets arbitrarily?

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#elementary-number-theory #modular-arithmetic #roots-of-unity
368
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Maximal tamely ramified extension of $\mathbb{Q}_p$

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#galois-theory #p-adic-number-theory #roots-of-unity #local-field
107
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Compatible way of choosing primitive roots of 1

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#number-theory #roots-of-unity
212
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$\forall n \in\mathbb N$, determine which $n$-th root of unity is closest to $\frac12$.

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#roots-of-unity
62
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why is $e^{\frac{\pi i}{3}}$ a root of $f(x) = x^{2}-x+1$?

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#complex-numbers #roots-of-unity
41
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Why is $12$ the smallest value of $m$ such that $\mathbb{Q}(\sqrt{3}) \subset \mathbb{Q}(\zeta_m)$?

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#abstract-algebra #field-theory #extension-field #roots-of-unity
842
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Unitary equivalence to permutation matrix

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#matrices #permutations #roots-of-unity #unitary-matrices #permutation-matrices
147
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Summation containing $n$-th roots of unity

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#complex-numbers #roots-of-unity
74
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Vanishing sums of roots of unity

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#complex-numbers #cyclic-groups #roots-of-unity

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