Question

Reducibility over every prime

score 89 · Answer 1 · 2016-03-01 18:44:20

89

Views

Reducibility over every prime

Published on 01 Mar 2016 - 18:44

score 51 · Answer 2 · 2016-03-02 11:59:43

51

Views

Galois: is $f(x)$ irreducible in $\mathbb{F}_5$

Published on 02 Mar 2016 - 11:59

score 812 · Answer 3 · 2016-03-02 17:25:05

812

Views

Is there a way to find one irreducible polynomial of degree n in the field Z2

Published on 02 Mar 2016 - 17:25

score 988 · Answer 4 · 2026-03-29 14:18:33

988

Views

$x^3-9$ is irreducible over $\mathbb{Z}$

Published on 29 Mar 2026 - 14:18

score 136 · Answer 5 · 2016-03-03 18:51:01

136

Views

Irreducibility of $(1+x)^{2^s}+(1-x)^{2^s}$

Published on 03 Mar 2016 - 18:51

score 980 · Answer 6 · 2016-03-04 18:46:03

980

Views

Prove that a polynomial is irreducible or the field contains a $p$th root

Published on 04 Mar 2016 - 18:46

score 50 · Answer 7 · 2016-03-06 02:22:09

50

Views

Probability that polynomial $f(m)$ is prime for $m < n$, as $n$ goes to infinity?

Published on 06 Mar 2016 - 2:22

score 29 · Answer 8 · 2026-03-29 10:14:34

29

Views

Making polynomial irreducible by adding term of given arithmetic progression

Published on 29 Mar 2026 - 10:14

score 82 · Answer 9 · 2016-03-07 02:36:07

82

Views

Mapping to $\mathbb{Z}_n$ and using Fermat to determine irreducibility of a polynomial over $\mathbb{Q}$

Published on 07 Mar 2016 - 2:36

score 80 · Answer 10 · 2016-03-08 19:08:46

80

Views

Proving that $p(x)$ is the minimum polynomial

Published on 08 Mar 2016 - 19:08

score 567 · Answer 11 · 2016-03-08 21:53:42

567

Views

Show that the polynomial $x^4 - 4x^3 + 6$ is irreducible in $\mathbb{Z}[x]$

Published on 08 Mar 2016 - 21:53

score 63 · Answer 12 · 2016-03-08 23:38:51

63

Views

Why if I show that that $f(x-1)$ is irreduction, so $f(x)$ is also irreductible?

Published on 08 Mar 2016 - 23:38

score 187 · Answer 13 · 2016-03-09 00:20:51

187

Views

Show that $\frac{(x+2)^p-2^p}{x}$ is irreductible in $\mathbb{Z}[x]$ for $p$ an odd prime number

Published on 09 Mar 2016 - 0:20

score 735 · Answer 14 · 2016-03-09 00:49:15

735

Views

How could it possible to factorise $x^8-1$ in product of irreducibles in the rings $(\mathbb{Z}/2\mathbb{Z})[x]$ and $(\mathbb{Z}/3\mathbb{Z})[x]$?

Published on 09 Mar 2016 - 0:49

score 54 · Answer 15 · 2016-03-09 03:26:31

54

Views

How could I prove that $x^2+1$ and $x^4+1$ are irreductible over $\mathbb{Z}/2 \mathbb{Z}$ and $\mathbb{Z}/3 \mathbb{Z}$?

Published on 09 Mar 2016 - 3:26

List Question

Reducibility over every prime

Galois: is $f(x)$ irreducible in $\mathbb{F}_5$

Is there a way to find one irreducible polynomial of degree n in the field Z2

$x^3-9$ is irreducible over $\mathbb{Z}$

Irreducibility of $(1+x)^{2^s}+(1-x)^{2^s}$

Prove that a polynomial is irreducible or the field contains a $p$th root

Probability that polynomial $f(m)$ is prime for $m < n$, as $n$ goes to infinity?

Making polynomial irreducible by adding term of given arithmetic progression

Mapping to $\mathbb{Z}_n$ and using Fermat to determine irreducibility of a polynomial over $\mathbb{Q}$

Proving that $p(x)$ is the minimum polynomial

Show that the polynomial $x^4 - 4x^3 + 6$ is irreducible in $\mathbb{Z}[x]$

Why if I show that that $f(x-1)$ is irreduction, so $f(x)$ is also irreductible?

Show that $\frac{(x+2)^p-2^p}{x}$ is irreductible in $\mathbb{Z}[x]$ for $p$ an odd prime number

How could it possible to factorise $x^8-1$ in product of irreducibles in the rings $(\mathbb{Z}/2\mathbb{Z})[x]$ and $(\mathbb{Z}/3\mathbb{Z})[x]$?

How could I prove that $x^2+1$ and $x^4+1$ are irreductible over $\mathbb{Z}/2 \mathbb{Z}$ and $\mathbb{Z}/3 \mathbb{Z}$?

Trending Questions

Popular # Hahtags

Popular Questions