List questions from algebraic-number-theory

Published on 11 Apr 2026 - 1:38

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Does an infinite polynomial define algebraic numbers?

Published on 11 Apr 2026 - 11:48

272

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Sum of roots of unity an algebraic integer proof

Published on 15 Apr 2026 - 8:34

292

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Are all transcendental numbers theoretically accessible?

Published on 26 Mar 2026 - 1:02

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Set of algebraic integers is closed under addition and multiplication

Published on 23 Apr 2026 - 13:21

131

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Let $F_\infty=\bigcup_{n\geq1}\operatorname{Q}(2^{1/2^n})$ , $K_\infty=\bigcup_{n\geq1}\operatorname{Q}(\zeta_{2^n})$, what is the intersection?

Published on 17 Apr 2026 - 2:29

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The irreducibility of the polynomial $x^p\pm px-t$, where $t$ is an integer, $p$ is a prime number.

Published on 16 Apr 2026 - 6:09

196

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Algebraic Integers and Irreducible Polynomials

Published on 15 Apr 2026 - 5:57

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How to multiply and reduce ideals in quadratic number ring.

Published on 12 Apr 2026 - 16:33

500

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Prove that $\mathbb{Z}[\zeta_{p} + \zeta_{p}^{-1}]$ is the ring of integers of $\mathbb{Q}(\zeta_{p} + \zeta_{p}^{-1})$

Published on 15 Apr 2026 - 23:31

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$\mathbb{Q}(\sqrt{m}, \sqrt{n})$ : ring of integers, integral basis and discriminant

Published on 17 Apr 2026 - 9:36

5.4k

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What was Lame's proof?

Published on 13 Apr 2026 - 17:39

1.3k

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Computing a uniformizer in a totally ramified extension of $\mathbb{Q}_p$.

Published on 16 Apr 2026 - 21:55

2k

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Group of Units in Cyclotomic Integers

Published on 14 Apr 2026 - 0:48

111

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Largest ideal of a local field on which a character is trivial

Published on 10 Apr 2026 - 20:31

List Question

Terminology -- lying over something

Does an infinite polynomial define algebraic numbers?

Sum of roots of unity an algebraic integer proof

Are all transcendental numbers theoretically accessible?

Set of algebraic integers is closed under addition and multiplication

Let $F_\infty=\bigcup_{n\geq1}\operatorname{Q}(2^{1/2^n})$ , $K_\infty=\bigcup_{n\geq1}\operatorname{Q}(\zeta_{2^n})$, what is the intersection?

The irreducibility of the polynomial $x^p\pm px-t$, where $t$ is an integer, $p$ is a prime number.

Algebraic Integers and Irreducible Polynomials

How to multiply and reduce ideals in quadratic number ring.

Prove that $\mathbb{Z}[\zeta_{p} + \zeta_{p}^{-1}]$ is the ring of integers of $\mathbb{Q}(\zeta_{p} + \zeta_{p}^{-1})$

$\mathbb{Q}(\sqrt{m}, \sqrt{n})$ : ring of integers, integral basis and discriminant

What was Lame's proof?

Computing a uniformizer in a totally ramified extension of $\mathbb{Q}_p$.

Group of Units in Cyclotomic Integers

Largest ideal of a local field on which a character is trivial

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