Question

construct irreducible polynomials of degree 32 over $Z_2[x]$

score 242 · Answer 1 · 2021-04-07 08:25:52

242

Views

construct irreducible polynomials of degree 32 over $Z_2[x]$

Published on 07 Apr 2021 - 8:25

score 66 · Answer 2 · 2026-04-12 14:23:30

66

Views

Is generic polynomial over $\mathbb F_p$ for very big $p$ irreducible?

Published on 12 Apr 2026 - 14:23

score 62 · Answer 3 · 2026-04-11 18:47:45

62

Views

A confusion about showing $g$ is a unit in which ring.

Published on 11 Apr 2026 - 18:47

score 124 · Answer 4 · 2021-04-12 09:32:46

124

Views

Furtwängler's family of irreducible polynomials: is there a perturbation criterion for irreducibility?

Published on 12 Apr 2021 - 9:32

score 64 · Answer 5 · 2021-04-12 13:46:08

64

Views

$P+aQ$ is irreducible for all a $\in \mathbb{Q}$

Published on 12 Apr 2021 - 13:46

score 55 · Answer 6 · 2026-04-11 21:04:59

55

Views

How to compute the irreducible polynomial of a number

Published on 11 Apr 2026 - 21:04

score 154 · Answer 7 · 2021-04-12 18:12:49

154

Views

Show the polynomial $[(x - a_1) \cdots (x - a_n)]^4 + 1$ is irreducible

Published on 12 Apr 2021 - 18:12

score 94 · Answer 8 · 2026-04-12 20:48:48

94

Views

A polynomial of nth degree that is irreducable in a finite field of characteristic 2

Published on 12 Apr 2026 - 20:48

score 86 · Answer 9 · 2026-03-25 15:59:56

86

Views

Correct application of eisenstein's criterion?

Published on 25 Mar 2026 - 15:59

score 89 · Answer 10 · 2021-04-17 08:17:35

89

Views

Factorising $x^{12} + 1$ into irreducible polynomials over $\mathbb{Q} $?

Published on 17 Apr 2021 - 8:17

score 95 · Answer 11 · 2026-04-10 08:52:10

95

Views

Reference for a theorem about necessary and sufficient conditions for configuration of n-tuples of points.

Published on 10 Apr 2026 - 8:52

score 256 · Answer 12 · 2021-04-21 08:38:32

256

Views

Show that $X^n-1$ has no repeated irreducible factors over $\mathbb{F}_q$ if and only if $gcd(q,n)=1$

Published on 21 Apr 2021 - 8:38

score 117 · Answer 13 · 2021-04-22 13:31:09

117

Views

$P(x)$ is odd degree polynomial and is irreducible in $\mathbb{Q}$.$P(x)|Q(x)^2+Q(x)R(x)+R(x)^2.$Prove that $P(x)^2|Q(x)^2+Q(x)R(x)+R(x)^2.$

Published on 22 Apr 2021 - 13:31

score 302 · Answer 14 · 2021-04-24 07:33:30

302

Views

Is $x^4+x^2y^2-y^2$ irreducible over $\mathbb C[x,y]$

Published on 24 Apr 2021 - 7:33

score 163 · Answer 15 · 2021-04-24 16:48:45

163

Views

When does $x^n-n$ factor?

Published on 24 Apr 2021 - 16:48

List Question

construct irreducible polynomials of degree 32 over $Z_2[x]$

Is generic polynomial over $\mathbb F_p$ for very big $p$ irreducible?

A confusion about showing $g$ is a unit in which ring.

Furtwängler's family of irreducible polynomials: is there a perturbation criterion for irreducibility?

$P+aQ$ is irreducible for all a $\in \mathbb{Q}$

How to compute the irreducible polynomial of a number

Show the polynomial $[(x - a_1) \cdots (x - a_n)]^4 + 1$ is irreducible

A polynomial of nth degree that is irreducable in a finite field of characteristic 2

Correct application of eisenstein's criterion?

Factorising $x^{12} + 1$ into irreducible polynomials over $\mathbb{Q} $?

Reference for a theorem about necessary and sufficient conditions for configuration of n-tuples of points.

Show that $X^n-1$ has no repeated irreducible factors over $\mathbb{F}_q$ if and only if $gcd(q,n)=1$

$P(x)$ is odd degree polynomial and is irreducible in $\mathbb{Q}$.$P(x)|Q(x)^2+Q(x)R(x)+R(x)^2.$Prove that $P(x)^2|Q(x)^2+Q(x)R(x)+R(x)^2.$

Is $x^4+x^2y^2-y^2$ irreducible over $\mathbb C[x,y]$

When does $x^n-n$ factor?

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