Question

How did Gauss find the units of the cubic field $Q[n^{1/3}]$?

score 678 · Answer 1 · 2026-03-28 11:54:20

678

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How did Gauss find the units of the cubic field $Q[n^{1/3}]$?

Published on 28 Mar 2026 - 11:54

score 850 · Answer 2 · 2019-02-09 21:07:29

850

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Show that $(1+\sqrt{2})^n+(1-\sqrt{2})^n$ is the nearest integer to $(1+\sqrt{2})^n$

Published on 09 Feb 2019 - 21:07

score 126 · Answer 3 · 2026-04-11 20:13:53

126

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Division of ideals in a Dedekind Domain

Published on 11 Apr 2026 - 20:13

score 61 · Answer 4 · 2026-03-26 17:13:15

61

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Irreducibility of the following Polynomial over $\mathbb{Q}$

Published on 26 Mar 2026 - 17:13

score 282 · Answer 5 · 2026-04-09 02:26:40

282

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When will a prime element of $\Bbb{Z}[(\sqrt{5}-1)/2]$ have field norm equal to a rational prime?

Published on 09 Apr 2026 - 2:26

score 1k · Answer 6 · 2026-04-10 18:17:24

1k

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Exponent of a ramified prime in discriminant

Published on 10 Apr 2026 - 18:17

score 574 · Answer 7 · 2026-04-12 13:01:45

574

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Computing the Picard group of $\mathbb{Z}[\sqrt{-19}]$

Published on 12 Apr 2026 - 13:01

score 537 · Answer 8 · 2019-02-12 06:17:18

537

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Number of Archimedean places of number fields extension

Published on 12 Feb 2019 - 6:17

score 232 · Answer 9 · 2026-04-11 20:29:59

232

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Explicit example of complete discrete valuation field with prescribed residue field

Published on 11 Apr 2026 - 20:29

score 1k · Answer 10 · 2026-04-11 20:32:06

1k

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When does a power series converge to a rational function?

Published on 11 Apr 2026 - 20:32

score 379 · Answer 11 · 2026-04-14 10:36:08

379

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Pell's equation with d congruent to 1 mod 4

Published on 14 Apr 2026 - 10:36

score 34 · Answer 12 · 2026-04-14 02:52:40

34

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show that $ \alpha=\sum_{i=m}^{\infty}\alpha_i \pi^i$

Published on 14 Apr 2026 - 2:52

score 160 · Answer 13 · 2026-04-13 00:14:07

160

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Alternative to Marcus's Number Fields with complete proofs

Published on 13 Apr 2026 - 0:14

score 154 · Answer 14 · 2026-04-14 17:53:17

154

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How to prove that the class number of $\mathbb{Q}[\sqrt{2},\sqrt{-3}]$ is $1$?

Published on 14 Apr 2026 - 17:53

score 853 · Answer 15 · 2026-04-13 21:30:59

853

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irreduciblity of $\ell$-adic representation attach to the elliptic curve over $\mathbf{Q}$ with complex multiplication

Published on 13 Apr 2026 - 21:30

List Question

How did Gauss find the units of the cubic field $Q[n^{1/3}]$?

Show that $(1+\sqrt{2})^n+(1-\sqrt{2})^n$ is the nearest integer to $(1+\sqrt{2})^n$

Division of ideals in a Dedekind Domain

Irreducibility of the following Polynomial over $\mathbb{Q}$

When will a prime element of $\Bbb{Z}[(\sqrt{5}-1)/2]$ have field norm equal to a rational prime?

Exponent of a ramified prime in discriminant

Computing the Picard group of $\mathbb{Z}[\sqrt{-19}]$

Number of Archimedean places of number fields extension

Explicit example of complete discrete valuation field with prescribed residue field

When does a power series converge to a rational function?

Pell's equation with d congruent to 1 mod 4

show that $ \alpha=\sum_{i=m}^{\infty}\alpha_i \pi^i$

Alternative to Marcus's Number Fields with complete proofs

How to prove that the class number of $\mathbb{Q}[\sqrt{2},\sqrt{-3}]$ is $1$?

irreduciblity of $\ell$-adic representation attach to the elliptic curve over $\mathbf{Q}$ with complex multiplication

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