List questions from irreducible-polynomials

Published on 26 Nov 2023 - 17:09

76

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What is the Conway polynomial for $GF(2^{256})$?

Published on 27 Nov 2023 - 19:33

70

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Testing irreducibility of integer polynomials

Published on 29 Nov 2023 - 16:33

82

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Why am I allowed to divide by polynomials even though multiplicative inverse do not exist?

Published on 03 Dec 2023 - 12:37

135

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Is a monic irreducible polynomial also irreducible as a power series?

Published on 06 Dec 2023 - 8:22

121

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Proving that if $\ g(x$) is irreducible then $\ g(f(x))$ is also irreducible

Published on 11 Dec 2023 - 11:25

87

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Show $x^5+x^4+x^2+x+1$ is irreducible in $\mathbb{Q}(\sqrt[5]{2})$

Published on 12 Dec 2023 - 12:07

97

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Prove that $6x^5-55x^3 + 50x^2+15$ is irreducible over $\mathbb{Q}[i]$

Published on 12 Dec 2023 - 21:45

53

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Question about reduction mod p method for polynomials

Published on 13 Dec 2023 - 19:20

45

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Same field extension, different irreducible polynomial?

Published on 25 Mar 2026 - 17:51

89

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Eisenstein-irreducibility proof check

Published on 18 Dec 2023 - 22:41

70

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Faulhaber , primes and irreducible : $S_p(n)=\sum_{k=1}^nk^p = n^a (n+1)^b F_p(n)$

Published on 26 Mar 2026 - 2:57

99

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Irreducible polynomials in the field with 4 elements

Published on 25 Dec 2023 - 20:04

46

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Relation between the irreducibility of a polynomial in $\mathbb{Z}$ and $\mathbb{Z}_p$

Published on 28 Dec 2023 - 10:14

62

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Find the minimal polynomial for a root over the rationals

Published on 29 Dec 2023 - 0:28

List Question

Find a cubic polynomial with given property.

What is the Conway polynomial for $GF(2^{256})$?

Testing irreducibility of integer polynomials

Why am I allowed to divide by polynomials even though multiplicative inverse do not exist?

Is a monic irreducible polynomial also irreducible as a power series?

Proving that if $\ g(x$) is irreducible then $\ g(f(x))$ is also irreducible

Show $x^5+x^4+x^2+x+1$ is irreducible in $\mathbb{Q}(\sqrt[5]{2})$

Prove that $6x^5-55x^3 + 50x^2+15$ is irreducible over $\mathbb{Q}[i]$

Question about reduction mod p method for polynomials

Same field extension, different irreducible polynomial?

Eisenstein-irreducibility proof check

Faulhaber , primes and irreducible : $S_p(n)=\sum_{k=1}^nk^p = n^a (n+1)^b F_p(n)$

Irreducible polynomials in the field with 4 elements

Relation between the irreducibility of a polynomial in $\mathbb{Z}$ and $\mathbb{Z}_p$

Find the minimal polynomial for a root over the rationals

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