New posts in roots-of-unity

Find $\sum\limits_{k=0}^{n-1}\,\omega_n^{k^2\ell}$, where $\omega_n:=\exp\left(\frac{2\pi\text{i}}{n}\right)$.

matrices complex-numbers summation eigenvalues-eigenvectors roots-of-unity

Trace of Product of Powers of $A$ and $A^\ast$

linear-algebra matrices roots-of-unity quantum-groups

A finite field extension $K\supset\mathbb Q$ contains finitely many roots of unity

abstract-algebra field-theory roots-of-unity

About the Center of the Special Linear Group $SL(n,F)$

abstract-algebra group-theory cyclic-groups roots-of-unity

Proving $\frac{1}{\cos^2\frac{\pi}{7}}+ \frac {1}{\cos^2\frac {2\pi}{7}}+\frac {1}{\cos^2\frac {3\pi}{7}} = 24$

geometry trigonometry polynomials complex-numbers roots-of-unity

A little more on $\sqrt[3]{\cos\bigl(\tfrac{2\pi}7\bigr)}+\sqrt[3]{\cos\bigl(\tfrac{4\pi}7\bigr)}+\sqrt[3]{\cos\bigl(\tfrac{8\pi}7\bigr)}$

trigonometry prime-numbers radicals roots-of-unity

Complex roots of unity arrangement. [duplicate]

roots-of-unity

Is there a standard way to find the subfields of $\Bbb{Q}(\zeta_n)$ when $n$ is not prime?

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

Why can't we just say 1 instead of "unity"?

terminology roots-of-unity

Product of one minus the tenth roots of unity [closed]

complex-numbers roots-of-unity

Question on a homomorphism of a set G.

group-theory abstract-algebra roots-of-unity

Roots of unity in non-Abelian groups: when do they form subgroups?

abstract-algebra group-theory roots-of-unity

Root of unity filter

combinatorics complex-numbers summation binomial-theorem roots-of-unity

Roots of unity over finite fields

finite-fields roots-of-unity multiplicative-order

Complex limit involving roots of unity

complex-analysis limits roots-of-unity

What's so special about primes $x^2+27y^2 = 31,43, 109, 157,\dots$ for cubics?

trigonometry prime-numbers roots-of-unity cubics

Quadratic subfield of cyclotomic field [duplicate]

abstract-algebra field-theory galois-theory cyclic-groups roots-of-unity

Complex numbers and Roots of unity

complex-numbers roots-of-unity

Calculate $(i+u_0)(i+u_1)\cdots(i+u_{n-1})$ if $u_0,u_1,...u_{n-1}$ are $n-$th roots of unity [closed]

complex-analysis polynomials complex-numbers products roots-of-unity

Radical extension

abstract-algebra field-theory galois-theory roots-of-unity