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Square root of $-1$ over a finite field

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#number-theory #finite-fields #roots-of-unity
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Can $\sin(\pi/25)$ be expressed in radicals, revisited

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#trigonometry #radicals #roots-of-unity
386
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Primitive roots of unity proof verification

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#polynomials #roots-of-unity #cyclotomic-polynomials
906
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A unit of seventh cyclotomic field

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#roots-of-unity #cyclotomic-polynomials
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Primitive $p^n$-th root of unity in $\bar{\mathbb{Q}}_p$.

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#number-theory #p-adic-number-theory #roots-of-unity
73
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Find a polynomial in $\mathbb{Z}_{41}$

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#polynomials #roots-of-unity #primitive-roots #cyclotomic-polynomials #fast-fourier-transform
99
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Series involving complex roots: $\frac{1}{2-a_1} + \frac{1}{2-a_2} + \dots + \frac{1}{2-a_{n-1}} = \frac{(n-2)2^{n-1}+1}{2^n - 1}$

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#complex-numbers #summation #roots-of-unity
21.3k
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Compute $(1 - \omega + \omega^2)(1 + \omega - \omega^2)$ where $\omega^3 = 1$

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#roots-of-unity
960
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Primitive roots of unity

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#roots-of-unity #primitive-roots
559
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Complex numbers - roots of unity

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#complex-numbers #roots-of-unity
337
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Find roots of unity

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#roots-of-unity
33
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$(ab^{n+1})^{1/n}$ where $a,b \in \mathbb{C}$

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#complex-numbers #roots-of-unity
122
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A primitive element in a field of order $r$ is a primitive $(r-1)$st root of unity.

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#abstract-algebra #roots-of-unity #primitive-roots
332
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Roots of Unity: second largest value and absolute value

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#complex-numbers #absolute-value #roots-of-unity
157
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Where's the flaw in this application of De Moivre's fomula to find n-th roots?

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#complex-analysis #complex-numbers #roots-of-unity

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