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Find all the solutions of $z^7=i$

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#complex-analysis #roots #roots-of-unity
54
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How to find no. of polynomials over a finite field satisfying given condition.

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#polynomials #roots #finite-fields #roots-of-unity
63
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Number of elements in the cyclotomic $F$ class.

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#galois-theory #finite-fields #symmetric-groups #roots-of-unity #automorphism-group
93
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If $1,a_1,a_2,...,a_{n-1}$ are the $n$ roots of $1$,then $(1-a_1)(1-a_2)...(1-a_{n-1}) \space ?$

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#roots-of-unity
369
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Newton's Binomial Series and p-adic roots of unity

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#analysis #p-adic-number-theory #roots-of-unity
347
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Identifying when a family of palindromic polynomials has roots of unity

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#complex-analysis #polynomials #complex-numbers #roots-of-unity
971
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Moving from $x^2+x+1=0$ to $x+1+\frac1x=0$ seems to introduce a solution, how is this possible?

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#proof-verification #polynomials #roots-of-unity
169
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maximum distance between n points on unit circle

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#geometry #optimization #roots-of-unity
55
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Identity $|\eta^i+\eta^j+\eta^k|=|\eta^{i+j}+\eta^{i+k}+\eta^{j+k}|$ where $\eta=e^{\frac{2\pi i}{5}}$

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#complex-numbers #roots-of-unity
1k
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Primitive roots of unity occuring as eigenvalues of a product

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#matrices #eigenvalues-eigenvectors #roots-of-unity #finite-geometry
1.9k
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Minimum polynomial of a root involving the 7th root of unity

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#field-theory #roots #roots-of-unity #minimal-polynomials
286
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$\zeta_5$ has degree $4$ over $\mathbb{Q}$ and $\zeta_7$ has degree $6$ over $\mathbb{Q}$

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#abstract-algebra #trigonometry #polynomials #field-theory #roots-of-unity
148
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Is there a standard notation for the primitive of some root of unity?

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#notation #roots-of-unity
194
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Sums of $n$-th root of unity

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#complex-numbers #algebraic-number-theory #roots-of-unity
118
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What would have been if $\sqrt{-1}$ were named differently?

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

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