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Automorphism that maps primitive roots of unity.

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#abstract-algebra #field-theory #roots-of-unity
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sum of powers of principal tenth root of unity

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#roots-of-unity
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Why is the reciprocal of an $n$-th root of unity its complex conjugate?

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#abstract-algebra #complex-numbers #roots-of-unity
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Minimal polynomials and degree of field extension

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#linear-algebra #algebraic-number-theory #extension-field #roots-of-unity #minimal-polynomials
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Finite Trigonometric Sum

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#analysis #finite-groups #summation #roots-of-unity #trigonometric-series
296
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How to quickly find a root of unity in a ring?

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#roots-of-unity
100
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Why are two statements about a polynomial equivalent?

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#polynomials #roots-of-unity #cyclotomic-polynomials
757
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$\mathbb{Q}(\sqrt[3]{2}, \zeta_{9})$ Galois group

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#galois-theory #roots-of-unity
389
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Probability a polynomial has a root which is a root of unity

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#probability #roots-of-unity
746
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Question on primitive roots of unity

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#abstract-algebra #roots-of-unity
68
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Root of unity: Is it true that $w_N = w_N^{(N-1)(N-1)}$ and why?

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#roots-of-unity
289
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Constructibility of sum of $n$-th roots of unity

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#roots-of-unity
79
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The existence of primitive algebraic units modulo 3

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#number-theory #elementary-number-theory #modular-arithmetic #finite-fields #roots-of-unity
88
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Question about kth root of a reduced ring element.

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#polynomials #ring-theory #divisibility #roots-of-unity
739
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Proof Check: automorphism sends primitive root to primitive root

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#abstract-algebra #proof-verification #galois-theory #roots-of-unity

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