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Exercice whith primitive roots of unity and divisibility

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#divisibility #roots-of-unity
278
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Problem understanding solution of complex nth-root of unity

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#complex-numbers #polar-coordinates #roots-of-unity
261
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Roots of unity product

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#products #roots-of-unity
635
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Properties of a sum over the root-of-unity expression of polynomials over a finite field

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#number-theory #finite-fields #roots-of-unity
52
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How large is the largest prime required to satisfy these requirements?

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#optimization #prime-numbers #roots-of-unity
273
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How to find the sum of this power series $\sum\limits_{n=0}^\infty \frac {x^{5n}} {(5n)!}$

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#calculus #sequences-and-series #power-series #exponential-function #roots-of-unity
76
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Question on $2^N$th Roots of Unity within a function.

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#sequences-and-series #complex-analysis #limits #power-series #roots-of-unity
87
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Proof roots of unity being in $\mathbb R$

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#proof-writing #roots-of-unity
148
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Problem with the proof that galois extension of $x^n-1$ over $\mathbb{Q}$ is isomorphic to $(\mathbb{Z}_n)^\times$

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#galois-theory #roots-of-unity
84
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May someone tell me where I went wrong when finding a closed-form solution to a recursion?

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#recurrence-relations #roots-of-unity #ceiling-and-floor-functions
2k
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No field of characteristic $p > 0$ contains a primitive $p^{th}$ root of unity.

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#abstract-algebra #field-theory #roots-of-unity
144
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Roots of Unity of a specific argument

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#complex-analysis #roots-of-unity
2.3k
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Finding the qth root of unity mod p

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#roots-of-unity
222
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(More) Explicit computation of roots of unity filter?

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#summation #binomial-coefficients #roots-of-unity
141
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Finding the degree of $\Bbb Q(\zeta_9)$

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#field-theory #extension-field #roots-of-unity #minimal-polynomials

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