List questions from cyclotomic-polynomials

Published on 11 Nov 2023 - 22:57

48

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Find a prime p such that the 35th cyclotomic polynomial has an irreducible 12th-degree factor in $F_p$

Published on 15 Nov 2023 - 20:54

46

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For all complex $|z| \neq 1$ : $\sum_{n=0}^{\infty} w_n \frac{z^n}{1+z^n+z^{2n}+z^{3n}+z^{4n}} = \sum_{n=0}^{\infty} u_n \frac{z^n}{1+z^n+z^{2n}}$?

Published on 16 Mar 2026 - 15:40

26

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For all complex $|z| \neq 1$ : $\frac{z}{1+z+z^{2}+z^{3}+z^{4}} = \sum_{n=0}^{\infty} T_n \frac{z^n}{1+z^n+z^{2n}}$?

Published on 20 Nov 2023 - 21:30

21

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Equality between two products

Published on 24 Nov 2023 - 22:03

61

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Is This Irreducible?

Published on 10 Dec 2023 - 18:43

45

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Same field extension, different irreducible polynomial?

Published on 25 Mar 2026 - 17:51

70

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Cyclotomic polynomial as minimal polynomial

Published on 15 Dec 2023 - 22:50

78

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Discriminant of numbers

Published on 25 Mar 2026 - 12:49

82

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Product of all $n$th-Cyclotomic polynomials less than $m$

Published on 08 Jan 2024 - 23:13

86

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Values of $\Phi_n(-1)$

Published on 09 Jan 2024 - 18:52

26

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Interpolating polynomial for characteristic function of primitive Nth roots of unity among all Nth roots

Published on 26 Feb 2024 - 0:34

219

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Fifth cyclotomic polynomial over a finite field

Published on 18 Mar 2024 - 19:09

113

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How does $x^n-1$ Factor in an Arbitrary Field?

Published on 23 Mar 2024 - 19:40

24

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Showing the polynomial has integer coefficients

Published on 26 Mar 2024 - 9:07

List Question

Is there an example, such that $\omega\in F(\beta)\land \omega\notin F$?

Find a prime p such that the 35th cyclotomic polynomial has an irreducible 12th-degree factor in $F_p$

For all complex $|z| \neq 1$ : $\sum_{n=0}^{\infty} w_n \frac{z^n}{1+z^n+z^{2n}+z^{3n}+z^{4n}} = \sum_{n=0}^{\infty} u_n \frac{z^n}{1+z^n+z^{2n}}$?

For all complex $|z| \neq 1$ : $\frac{z}{1+z+z^{2}+z^{3}+z^{4}} = \sum_{n=0}^{\infty} T_n \frac{z^n}{1+z^n+z^{2n}}$?

Equality between two products

Is This Irreducible?

Same field extension, different irreducible polynomial?

Cyclotomic polynomial as minimal polynomial

Discriminant of numbers

Product of all $n$th-Cyclotomic polynomials less than $m$

Values of $\Phi_n(-1)$

Interpolating polynomial for characteristic function of primitive Nth roots of unity among all Nth roots

Fifth cyclotomic polynomial over a finite field

How does $x^n-1$ Factor in an Arbitrary Field?

Showing the polynomial has integer coefficients

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