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Roots of unity divisibility.

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#discrete-mathematics #complex-numbers #roots-of-unity
125
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Cyclotomic polynomials of distinct index are distinct.

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#galois-theory #roots-of-unity #cyclotomic-polynomials
77
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If $A^{2016} = I_n$, show that $A^{576} - A^{288} + I_n$ is invertible, and calculate it's inverse in terms of $A$.

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#matrices #roots-of-unity
297
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Finding minimal polynomial of generator of quadratic subfield of cyclotomic extension $\mathbb{Q}(\xi_{17})$

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#field-theory #galois-theory #minimal-polynomials #roots-of-unity #cyclotomic-fields
6.7k
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Root of unity filter

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#combinatorics #complex-numbers #summation #binomial-theorem #roots-of-unity
7.2k
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What online graphing tools handle complex numbers well?

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#functions #complex-numbers #graphing-functions #roots-of-unity
134
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Find the irreducible polynomial over $Q$(linear combination of primitive cubic roots)

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#abstract-algebra #field-theory #extension-field #irreducible-polynomials #roots-of-unity
118
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Sub-Sum of Roots of Unity

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#galois-theory #roots-of-unity #cyclotomic-fields #gauss-sums #algebraic-numbers
262
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In general, do primes of the form $a×2^{n}+1$always have primitive $2^n $th roots of unity (modulo that prime)?

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#number-theory #roots-of-unity #primitive-roots
42
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upper bound on, or fast algorithm to find, an order $2^n$ element in the multiplicative group modulo prime $q(2^n)+1$

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#finite-fields #computational-complexity #roots-of-unity #primitive-roots
1.9k
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Why is "division by $(z-1)$" valid here?

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#algebra-precalculus #polynomials #complex-numbers #roots-of-unity
434
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Check unity in a regression

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#statistics #regression #roots-of-unity #linear-regression #mean-square-error
206
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Norm in the cyclotomic field

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#field-theory #algebraic-number-theory #roots-of-unity
142
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Sum involving roots of unity: $\sum \frac{1}{1-\omega^k}$

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#complex-numbers #summation #roots-of-unity
1.4k
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What is the meaning of "nth root of unity"?

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#complex-numbers #roots-of-unity

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