List questions from cyclotomic-fields

Published on 14 Apr 2026 - 20:19

435

Views

If $p\equiv1\pmod{4}$, do we have $\sqrt{p}\in\mathbb{Q}(\zeta_p)$?

Published on 16 Apr 2026 - 9:56

392

Views

How to describe lattice of subfields of $\mathbb{Q}(\zeta_{13})$

Published on 15 Apr 2026 - 9:51

131

Views

Expressing $\zeta^k+\zeta^{-k}$ as a polynomial in $\zeta+\zeta^{-1}$.

Published on 23 Apr 2026 - 12:47

72

Views

Cyclotomic cosets and quadratic residues

Published on 14 Apr 2026 - 8:24

205

Views

Understanding problem in Milne's notes on class field theory

Published on 10 Apr 2026 - 13:56

130

Views

$\chi(\cdot)$ is an algebraic integer in $\mathbb{Q}$($\zeta_n$)

Published on 11 Apr 2026 - 15:04

86

Views

On a special kind of six dimensional vector subspace of $\mathbb C^9$ related to the primitive $9$-th root of unity

Published on 16 Apr 2026 - 9:42

114

Views

Cyclotomic cosets $\pmod 8$, $p=3$

Published on 15 Apr 2026 - 10:24

204

Views

Isomorphism between two versions of $GF(2^3)$

Published on 16 Apr 2026 - 16:56

61

Views

Density of integers represented by norm form (cyclotomic field)

Published on 24 Mar 2026 - 23:46

95

Views

algebraic integer in $\mathbb{Q}$($\zeta_n$)

Published on 15 Apr 2026 - 15:34

457

Views

Finding the Normal Basis of Cyclotomic field

Published on 14 Apr 2026 - 9:36

408

Views

Let $K=\Bbb Q (e^{\frac{2 \pi i}{7}})$ and $\alpha \in K - \Bbb Q$. Then show that, $\Bbb Q(\alpha)=K$

Published on 17 Apr 2026 - 1:05

406

Views

Quadratic polynomial satisfied by $\zeta_5+\zeta_5^{-1}$

Published on 16 Apr 2026 - 7:50

List Question

Is $\{sin(n \pi/2N): n\in \mathbb{Z},0<n \leq N\}$ linearly independent over $\mathbb{Q}$

If $p\equiv1\pmod{4}$, do we have $\sqrt{p}\in\mathbb{Q}(\zeta_p)$?

How to describe lattice of subfields of $\mathbb{Q}(\zeta_{13})$

Expressing $\zeta^k+\zeta^{-k}$ as a polynomial in $\zeta+\zeta^{-1}$.

Cyclotomic cosets and quadratic residues

Understanding problem in Milne's notes on class field theory

$\chi(\cdot)$ is an algebraic integer in $\mathbb{Q}$($\zeta_n$)

On a special kind of six dimensional vector subspace of $\mathbb C^9$ related to the primitive $9$-th root of unity

Cyclotomic cosets $\pmod 8$, $p=3$

Isomorphism between two versions of $GF(2^3)$

Density of integers represented by norm form (cyclotomic field)

algebraic integer in $\mathbb{Q}$($\zeta_n$)

Finding the Normal Basis of Cyclotomic field

Let $K=\Bbb Q (e^{\frac{2 \pi i}{7}})$ and $\alpha \in K - \Bbb Q$. Then show that, $\Bbb Q(\alpha)=K$

Quadratic polynomial satisfied by $\zeta_5+\zeta_5^{-1}$

Trending Questions

Popular # Hahtags

Popular Questions