List questions from algebraic-number-theory

Published on 12 Apr 2026 - 0:46

481

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The field of algebraic numbers in $\mathbb Q (a_1,\ldots, a_l)$ is finite over $\mathbb Q$

Published on 13 Apr 2026 - 22:13

38

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Find a basis for $B/\mathfrak{B}^e$

Published on 16 Apr 2026 - 18:58

108

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Is it true that $6n^2+p$ gives primes for $n=0,1,2,\dots,p-1$ iff $Q(\sqrt{-6p})$ has class number $4$?

Published on 15 Apr 2026 - 13:44

1.5k

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Is the ring of integers of a local field an open subgroup?

Published on 25 Mar 2026 - 12:20

1.1k

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Degree of closure of $\mathbb{Q}_p$

Published on 14 Apr 2026 - 18:19

85

Views

number cubic polynomials possible

Published on 16 Apr 2026 - 5:11

336

Views

If $\alpha$ and $\beta$ are algebraic integers then the roots of $x^2+\alpha x+\beta$ are algebraic integers

Published on 16 Apr 2026 - 23:54

195

Views

Does Shor's algorithm work for noncommutitive or nonassociative algebras?

Published on 15 Apr 2026 - 9:48

162

Views

General methods for solving p-adic inequality $|a^2+b|_{p}<p^{-k}$ for $a\in \mathbb{Z}$

Published on 14 Apr 2026 - 15:39

99

Views

Methods for finding Number of roots in $\mathbb{Q}_{p}$ for a polynomial

Published on 11 Apr 2026 - 22:01

251

Views

$[K(a):F(a)]=[K:F]$ if $a$ is transcendental over $K$.

Published on 16 Apr 2026 - 6:25

160

Views

Recovering congruence conditions from the Hilbert class polynomial for idoneal numbers

Published on 12 Apr 2026 - 22:43

92

Views

Lower bound on divisors of $\Phi_n(n) $

Published on 17 Apr 2026 - 13:04

429

Views

Roots of unity in a residue field of a Cyclotomic extension

Published on 15 Apr 2026 - 7:15

List Question

Existence of finite morphism to projective line

The field of algebraic numbers in $\mathbb Q (a_1,\ldots, a_l)$ is finite over $\mathbb Q$

Find a basis for $B/\mathfrak{B}^e$

Is it true that $6n^2+p$ gives primes for $n=0,1,2,\dots,p-1$ iff $Q(\sqrt{-6p})$ has class number $4$?

Is the ring of integers of a local field an open subgroup?

Degree of closure of $\mathbb{Q}_p$

number cubic polynomials possible

If $\alpha$ and $\beta$ are algebraic integers then the roots of $x^2+\alpha x+\beta$ are algebraic integers

Does Shor's algorithm work for noncommutitive or nonassociative algebras?

General methods for solving p-adic inequality $|a^2+b|_{p}<p^{-k}$ for $a\in \mathbb{Z}$

Methods for finding Number of roots in $\mathbb{Q}_{p}$ for a polynomial

$[K(a):F(a)]=[K:F]$ if $a$ is transcendental over $K$.

Recovering congruence conditions from the Hilbert class polynomial for idoneal numbers

Lower bound on divisors of $\Phi_n(n) $

Roots of unity in a residue field of a Cyclotomic extension

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