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Closed-Form Expression for a Certain Sum Over Roots of Unity

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#combinatorics #number-theory #summation #roots-of-unity
564
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Prove extension is not Galois

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#galois-theory #extension-field #roots-of-unity
119
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Roots of Unity : Restricted Affine Combinations and Vandermonde Determinants

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#complex-numbers #determinant #roots-of-unity
135
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Modulo arithmetic and sum of arbitrary powers of a primitive root of unity.

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#complex-analysis #complex-numbers #modular-arithmetic #roots-of-unity #primitive-roots
136
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Checking whether the following map has a dense positive semiorbit

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#complex-numbers #dynamical-systems #roots-of-unity
302
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values taken by Dirichlet character = complex roots of unity

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#modular-arithmetic #characters #roots-of-unity
1.6k
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Finding the fundamental unit of arbitrary quadratic field.

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#ring-theory #field-theory #algebraic-number-theory #roots-of-unity
628
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Show a sum of 5th roots of unity is a real number.

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#algebraic-number-theory #roots-of-unity #cyclotomic-fields
108
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Is $\cos(\frac{2\pi x}{5})$ an element of $\mathbb{Q}(\sqrt{5})$

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#algebraic-number-theory #roots-of-unity
384
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Sum of roots of unity while computing irreducible polynomial

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#field-theory #galois-theory #irreducible-polynomials #roots-of-unity
54
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How to prove complex identity?

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#polynomials #complex-numbers #roots-of-unity
97
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Proof of property of cyclotomic prime

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#abstract-algebra #number-theory #roots-of-unity #cyclotomic-fields
276
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Prove any unit $u$ in $\mathbb{Z}[\zeta_{p}]$ is a product of a root of unity and real unit.

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#algebraic-number-theory #roots-of-unity #cyclotomic-fields
201
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Finding the correct primitive root of unity for DFT

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#fourier-analysis #modular-arithmetic #roots-of-unity
530
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Is there a standard way to find the subfields of $\Bbb{Q}(\zeta_n)$ when $n$ is not prime?

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#abstract-algebra #galois-theory #roots-of-unity #cyclotomic-fields

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