Question

Are there number fields with 3, 5, or 7 (and so on) real embeddings on a number field $L$ into $\bar{\mathbb{Q}}$ where $[L:\mathbb{Q}]=2k+1$?

score 216 · Answer 1 · 2026-04-16 03:32:50

Are there number fields with 3, 5, or 7 (and so on) real embeddings on a number field $L$ into $\bar{\mathbb{Q}}$ where $[L:\mathbb{Q}]=2k+1$?

score 110 · Answer 2 · 2026-04-16 08:51:40

110

Views

Lemma 3.2 of "Catalan's Conjecture" by R. Schoof.

Published on 16 Apr 2026 - 8:51

score 268 · Answer 3 · 2026-04-12 02:54:03

268

Views

Is a biquadratic ring uniquely determined by two intermediate quadratic rings?

Published on 12 Apr 2026 - 2:54

score 188 · Answer 4 · 2026-04-11 10:09:34

188

Views

The proof of decomposition law for cyclotomic field (Neukirch)

Published on 11 Apr 2026 - 10:09

score 53 · Answer 5 · 2026-04-11 14:23:59

53

Views

Product of ramification groups: Is $G_i= H_i H'_i$?

Published on 11 Apr 2026 - 14:23

score 202 · Answer 6 · 2026-04-22 02:37:45

202

Views

Values of Grössencharacter attached to CM elliptic curve

Published on 22 Apr 2026 - 2:37

score 301 · Answer 7 · 2026-04-16 01:06:43

301

Views

If $\alpha$ is a quadratic integer in $\mathbb{Q}[\sqrt{d}]$, then define a notion of congruence $\pmod{\alpha}$.

Published on 16 Apr 2026 - 1:06

score 37 · Answer 8 · 2026-04-14 15:15:34

37

Views

Product of ramification groups: Is $G_i= H_i H'_i$ in totally ramified case?

Published on 14 Apr 2026 - 15:15

score 79 · Answer 9 · 2026-04-14 09:43:24

79

Views

What is the topology on $G=\prod\limits_{n=1}^{\infty}\mathbb Z/(p^n)$?

Published on 14 Apr 2026 - 9:43

score 61 · Answer 10 · 2026-04-15 01:36:32

61

Views

Computing uniformizer in linearly disjoint totally ramified extensions

Published on 15 Apr 2026 - 1:36

score 137 · Answer 11 · 2026-04-15 00:00:14

137

Views

Admissible moduli and ray class fields

Published on 15 Apr 2026 - 0:00

score 86 · Answer 12 · 2026-04-12 02:25:05

86

Views

How large can the entries of the matrix representation of an element of a number field be?

Published on 12 Apr 2026 - 2:25

score 196 · Answer 13 · 2026-04-08 18:52:56

196

Views

Norm of an element at a localization

Published on 08 Apr 2026 - 18:52

score 432 · Answer 14 · 2026-04-16 03:52:31

432

Views

What is the ideal class group of the ring $\mathbb{R}[x,y]/(x^2+y^2-1)$?

Published on 16 Apr 2026 - 3:52

score 88 · Answer 15 · 2026-04-22 06:59:20

88

Views

Conductor of $\mathbb Q(\omega,\sqrt[3]{\pi})/\mathbb Q(\omega)$ for nonprimary $\pi$

Published on 22 Apr 2026 - 6:59

List Question

Are there number fields with 3, 5, or 7 (and so on) real embeddings on a number field $L$ into $\bar{\mathbb{Q}}$ where $[L:\mathbb{Q}]=2k+1$?

Lemma 3.2 of "Catalan's Conjecture" by R. Schoof.

Is a biquadratic ring uniquely determined by two intermediate quadratic rings?

The proof of decomposition law for cyclotomic field (Neukirch)

Product of ramification groups: Is $G_i= H_i H'_i$?

Values of Grössencharacter attached to CM elliptic curve

If $\alpha$ is a quadratic integer in $\mathbb{Q}[\sqrt{d}]$, then define a notion of congruence $\pmod{\alpha}$.

Product of ramification groups: Is $G_i= H_i H'_i$ in totally ramified case?

What is the topology on $G=\prod\limits_{n=1}^{\infty}\mathbb Z/(p^n)$?

Computing uniformizer in linearly disjoint totally ramified extensions

Admissible moduli and ray class fields

How large can the entries of the matrix representation of an element of a number field be?

Norm of an element at a localization

What is the ideal class group of the ring $\mathbb{R}[x,y]/(x^2+y^2-1)$?

Conductor of $\mathbb Q(\omega,\sqrt[3]{\pi})/\mathbb Q(\omega)$ for nonprimary $\pi$

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