List questions from cyclotomic-fields

Published on 04 Sep 2023 - 6:21

149

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Complex numbers and congruence, article by G.B. Mathews

Published on 09 Sep 2023 - 12:49

93

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How to find a factor of $\zeta - 1$ in $\mathbb{Q}(\zeta)$ for $\zeta := e^{2 \pi i / 5}$

Published on 03 Oct 2023 - 23:05

51

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Find all units in the ring $\Bbb Z[\omega]$ where $\omega$ is the primitive $p^{th}$ root of unity.

Published on 23 Feb 2026 - 13:04

29

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Finding class group of $\Bbb Q(\zeta_{29})$

Published on 29 Oct 2023 - 16:39

84

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For which finite groups $G$ is $M_n(\mathbb{Q}(\zeta))$ a factor of $\mathbb{Q}[G]$?

Published on 04 Nov 2023 - 20:36

122

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Jacobi sum of power residue symbol in Sagemath

Published on 05 Nov 2023 - 4:32

116

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Determine a basis for $\Bbb F_p[\omega]/\Bbb F_p$.

Published on 14 Nov 2023 - 13:56

49

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Construct precisely the cyclotomic extension of $\mathbf{Q}$

Published on 29 Nov 2023 - 16:08

63

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What are the proper subfields of the cyclotomic field extension generated by a primitive fifth root of unity?

Published on 07 Dec 2023 - 19:03

217

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Meaning of some results of Gauss on cyclotomic numbers.

Published on 13 Dec 2023 - 15:34

44

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Same field extension, different irreducible polynomial?

Published on 14 Dec 2023 - 12:01

59

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Construct primitive element for intermediate field of cyclotomic field extension

Published on 22 Dec 2023 - 6:35

90

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An efficient algorithm for finding the generators of the unit group of $\mathbb{Z}[\zeta_p] $ (ring of cyclotomic integers, where p is a prime)

Published on 25 Mar 2026 - 12:50

59

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Statement unclear-"Cyclotomic fields and zeta values"

Published on 01 Jan 2024 - 14:15

List Question

Lattice Geometry of $\mathbb{Z}[\zeta_5]$

Complex numbers and congruence, article by G.B. Mathews

How to find a factor of $\zeta - 1$ in $\mathbb{Q}(\zeta)$ for $\zeta := e^{2 \pi i / 5}$

Find all units in the ring $\Bbb Z[\omega]$ where $\omega$ is the primitive $p^{th}$ root of unity.

Finding class group of $\Bbb Q(\zeta_{29})$

For which finite groups $G$ is $M_n(\mathbb{Q}(\zeta))$ a factor of $\mathbb{Q}[G]$?

Jacobi sum of power residue symbol in Sagemath

Determine a basis for $\Bbb F_p[\omega]/\Bbb F_p$.

Construct precisely the cyclotomic extension of $\mathbf{Q}$

What are the proper subfields of the cyclotomic field extension generated by a primitive fifth root of unity?

Meaning of some results of Gauss on cyclotomic numbers.

Same field extension, different irreducible polynomial?

Construct primitive element for intermediate field of cyclotomic field extension

An efficient algorithm for finding the generators of the unit group of $\mathbb{Z}[\zeta_p] $ (ring of cyclotomic integers, where p is a prime)

Statement unclear-"Cyclotomic fields and zeta values"

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