List questions from cyclotomic-fields

Published on 17 Mar 2026 - 10:26

86

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How to write cyclotomic field extensions $\mathbb{Q}(\zeta_n)$ in terms of roots and $i$?

Published on 19 Mar 2026 - 17:53

179

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Question on a proof related to Iwasawa's theorem in Washington's "Introduction to cyclotomic fields"

Published on 21 Mar 2026 - 3:44

104

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Prove that tan(Pi/n)/tan(kPi/n) is an algebraic integer when gcd(k,n) = 1

Published on 20 Mar 2026 - 10:22

985

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Galois group of $x^n+1$ over $\Bbb Q$

Published on 22 Mar 2026 - 6:02

65

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$\mathbb{Q}(3^{1/n},e^{2i\pi/n})$ is not contained in any cyclotomic extension

Published on 20 Mar 2026 - 8:13

331

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How can I prove that the cyclotomic integers $\frac{\zeta_p^r - 1}{\zeta_p^s - 1}$, with $\ p\nmid rs$, are units?

Published on 22 Mar 2026 - 4:22

2.1k

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Determine Minimal Polynomial of Primitive 10th Root of Unity

Published on 20 Mar 2026 - 12:42

383

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Generalization of $x^n-1$ following Fermat's Little theorem

Published on 20 Mar 2026 - 2:03

64

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How to program formula involving cyclotomic polynomials and Lambert series?

Published on 20 Mar 2026 - 23:14

254

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Cyclotomic extensions and thoughts on roots of unity.

Published on 20 Mar 2026 - 1:14

129

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Fixed ring $\mathbb{Z}[\zeta]^\tau$ is the ring of integers of the fixed field $\mathbb{Q}(\zeta)^\tau$

Published on 22 Mar 2026 - 7:51

155

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$\sin(k\pi/n)$ an integer multiple of $\sin(\pi/n)$

Published on 22 Mar 2026 - 13:17

92

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About the $\mathbb{Z}$-ranks of groups of cyclotomic numbers

Published on 21 Mar 2026 - 20:53

426

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Closest cyclotomic integer to a cyclotomic number?

Published on 22 Mar 2026 - 7:41

List Question

Fixed points of automorphisms of $\mathbb{Q}(\zeta)$

How to write cyclotomic field extensions $\mathbb{Q}(\zeta_n)$ in terms of roots and $i$?

Question on a proof related to Iwasawa's theorem in Washington's "Introduction to cyclotomic fields"

Prove that tan(Pi/n)/tan(kPi/n) is an algebraic integer when gcd(k,n) = 1

Galois group of $x^n+1$ over $\Bbb Q$

$\mathbb{Q}(3^{1/n},e^{2i\pi/n})$ is not contained in any cyclotomic extension

How can I prove that the cyclotomic integers $\frac{\zeta_p^r - 1}{\zeta_p^s - 1}$, with $\ p\nmid rs$, are units?

Determine Minimal Polynomial of Primitive 10th Root of Unity

Generalization of $x^n-1$ following Fermat's Little theorem

How to program formula involving cyclotomic polynomials and Lambert series?

Cyclotomic extensions and thoughts on roots of unity.

Fixed ring $\mathbb{Z}[\zeta]^\tau$ is the ring of integers of the fixed field $\mathbb{Q}(\zeta)^\tau$

$\sin(k\pi/n)$ an integer multiple of $\sin(\pi/n)$

About the $\mathbb{Z}$-ranks of groups of cyclotomic numbers

Closest cyclotomic integer to a cyclotomic number?

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