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Finding polynomials for given sets of roots

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#polynomials #complex-numbers #roots #roots-of-unity
225
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How can I prove that $1+\zeta^{k}+\zeta^{2k}+\dots+\zeta^{(n-1)k}=...$

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#complex-numbers #roots-of-unity
120
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Show that the set of $n^{th}$ roots of unity form a subgroup under the group $S^{1}$

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#complex-analysis #group-theory #proof-writing #roots-of-unity
262
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How to find factors of a matrix determinant

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#linear-algebra #determinant #factoring #roots-of-unity
254
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Automorphism group of $\mathbb{Q}/\mathbb{Z}$

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#group-theory #roots-of-unity #automorphism-group
35
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Sum of roots of unity with linear coefficients

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#roots-of-unity
62
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Difference in field extensions when the field has $p$ roots of unity versus $p^2$ roots of unity.

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#galois-theory #roots-of-unity #galois-extensions #kummer-theory
68
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Question about Q-analogs

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#combinatorics #polynomials #roots-of-unity #q-analogs
67
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How to proof whether these vectors are orthogonal?

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#linear-algebra #vectors #inner-products #roots-of-unity
195
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Powers of roots of unity are also roots of unity?

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#complex-numbers #roots-of-unity
71
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How we illustrate the Prüfer-$3$ group elements on the unit circle?

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#abstract-algebra #group-theory #cyclic-groups #roots-of-unity #p-groups
338
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Non-diagonal n-th roots of the identity matrix

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#linear-algebra #matrices #roots-of-unity
81
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Sums of roots of unity with integer coefficients

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#number-theory #elementary-number-theory #roots-of-unity
97
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Combinatorial Identities involving roots of unity

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#combinatorics #binomial-coefficients #combinatorial-proofs #roots-of-unity
334
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How to obtain $\sqrt{5}$ (without a calculator) using complex numbers & roots of unity?

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

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