List questions from algebraic-number-theory

Published on 14 Apr 2026 - 4:46

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Trace of an algebraic integer is an integer?

Published on 09 Apr 2026 - 1:54

114

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Abelian extensions and the Artin map

Published on 12 Apr 2026 - 11:43

131

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Showing that ideals are principal in ring of integers of cubic field

Published on 13 Apr 2026 - 21:05

402

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Understanding the Hurwitz-Kronecker Class Number Formula

Published on 09 Apr 2026 - 2:28

89

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Does any fractional ideal of $R$ always contain a non-zero element of $R$?

Published on 13 Apr 2026 - 5:51

83

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Squares in $\mathbb{Z}_p$

Published on 10 Apr 2026 - 20:34

88

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Is this element in the ring of integers?

Published on 14 Apr 2026 - 23:32

135

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Showing linear independence of power basis of $\mathbb{Q}(\sqrt[4]{3})$ over $\mathbb{Q}$.

Published on 30 Mar 2026 - 18:06

277

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Prove that the quotient ring is not a PID

Published on 13 Apr 2026 - 7:11

93

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When is $2\cos(\pi \frac{i}{n}) + 2\cos(\pi \frac{j}{m}) = -1 $

Published on 15 Apr 2026 - 4:10

68

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$p$-adic analytic function bounded implies coefficients bounded?

Published on 13 Apr 2026 - 18:03

138

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$L/K$ is finite separable field extension with $O_v$ valuation ring of $K$ w.r.t valuation $v$. Integral closure of $O_v$ in $L$ is DVR?

Published on 14 Apr 2026 - 16:28

44

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Bounds on representations via (non-positive) binary quadratic forms

Published on 14 Apr 2026 - 15:23

494

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Can two monic irreducible polynomials over $\mathbb{Z}$, of coprime degrees, have the same splitting field?

Published on 10 Apr 2026 - 23:26

List Question

Viewing ramification in $p$-adic fields in the context of algebraic geometry

Trace of an algebraic integer is an integer?

Abelian extensions and the Artin map

Showing that ideals are principal in ring of integers of cubic field

Understanding the Hurwitz-Kronecker Class Number Formula

Does any fractional ideal of $R$ always contain a non-zero element of $R$?

Squares in $\mathbb{Z}_p$

Is this element in the ring of integers?

Showing linear independence of power basis of $\mathbb{Q}(\sqrt[4]{3})$ over $\mathbb{Q}$.

Prove that the quotient ring is not a PID

When is $2\cos(\pi \frac{i}{n}) + 2\cos(\pi \frac{j}{m}) = -1 $

$p$-adic analytic function bounded implies coefficients bounded?

$L/K$ is finite separable field extension with $O_v$ valuation ring of $K$ w.r.t valuation $v$. Integral closure of $O_v$ in $L$ is DVR?

Bounds on representations via (non-positive) binary quadratic forms

Can two monic irreducible polynomials over $\mathbb{Z}$, of coprime degrees, have the same splitting field?

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