Question

Diophantine equation for Multivariate Polynomial

score 200 · Answer 1 · 2026-03-17 10:02:23

200

Views

Diophantine equation for Multivariate Polynomial

Published on 17 Mar 2026 - 10:02

score 692 · Answer 2 · 2026-03-22 05:13:50

692

Views

Form an equation whose roots are $(a-b)^2,(b-c)^2,(c-a)^2.$

Published on 22 Mar 2026 - 5:13

score 156 · Answer 3 · 2026-03-20 02:32:31

156

Views

Optimal normal basis in Tower field construction

Published on 20 Mar 2026 - 2:32

score 77 · Answer 4 · 2026-03-22 10:22:14

77

Views

If $f$ has $\deg(f)$ distince roots whose order are the same, then is $f$ irreducible?

Published on 22 Mar 2026 - 10:22

score 1.1k · Answer 5 · 2026-03-20 10:04:31

1.1k

Views

Polynomial rings are regular

Published on 20 Mar 2026 - 10:04

score 521 · Answer 6 · 2026-03-24 23:46:04

521

Views

Irreducibility in the polynomial ring over the rationals $\mathbb Q[t]$ versus $\mathbb Z[t]$

Published on 24 Mar 2026 - 23:46

score 156 · Answer 7 · 2026-03-19 21:51:24

156

Views

Prove the next cyclic inequality

Published on 19 Mar 2026 - 21:51

score 49 · Answer 8 · 2018-01-20 22:58:03

49

Views

Sequence of Riccati's roots

Published on 20 Jan 2018 - 22:58

score 78 · Answer 9 · 2026-03-25 07:46:22

78

Views

Is $g\mid f$ and $ord(f)=ord(g)$ implies that the splitting field of $f$ equals that of $g$?

Published on 25 Mar 2026 - 7:46

score 221 · Answer 10 · 2026-03-20 05:22:06

221

Views

I have a inequality, I don't know where to start

Published on 20 Mar 2026 - 5:22

score 735 · Answer 11 · 2026-03-22 12:55:57

735

Views

Prove that if all of the roots of a polynomial $P(z)$ are real, then for any $b$ the roots of the polynomial $R(z)=P(z+ib)+P(z-ib)$ are also real.

Published on 22 Mar 2026 - 12:55

score 57 · Answer 12 · 2026-03-22 12:57:01

57

Views

Irreducibility for polynomial in $\mathbb{Z}[i][X]$

Published on 22 Mar 2026 - 12:57

score 124 · Answer 13 · 2026-03-24 20:42:08

124

Views

Show that $X^6 - 6125$ is irreducible

Published on 24 Mar 2026 - 20:42

score 119 · Answer 14 · 2026-03-24 20:42:37

119

Views

Can we find an irreducible polynomial of any degree in $\mathbb C[x,y]$?

Published on 24 Mar 2026 - 20:42

score 40 · Answer 15 · 2026-03-21 16:54:37

40

Views

Show that there is a unique polynomial of degree at most $2k+1$ such that $p^{[j]}(x_1)=a_j \text{ and } p^{[j]}(x_2)=b_j \text{ for } j=0,\dots, k.$

Published on 21 Mar 2026 - 16:54

List Question

Diophantine equation for Multivariate Polynomial

Form an equation whose roots are $(a-b)^2,(b-c)^2,(c-a)^2.$

Optimal normal basis in Tower field construction

If $f$ has $\deg(f)$ distince roots whose order are the same, then is $f$ irreducible?

Polynomial rings are regular

Irreducibility in the polynomial ring over the rationals $\mathbb Q[t]$ versus $\mathbb Z[t]$

Prove the next cyclic inequality

Sequence of Riccati's roots

Is $g\mid f$ and $ord(f)=ord(g)$ implies that the splitting field of $f$ equals that of $g$?

I have a inequality, I don't know where to start

Prove that if all of the roots of a polynomial $P(z)$ are real, then for any $b$ the roots of the polynomial $R(z)=P(z+ib)+P(z-ib)$ are also real.

Irreducibility for polynomial in $\mathbb{Z}[i][X]$

Show that $X^6 - 6125$ is irreducible

Can we find an irreducible polynomial of any degree in $\mathbb C[x,y]$?

Show that there is a unique polynomial of degree at most $2k+1$ such that $p^{[j]}(x_1)=a_j \text{ and } p^{[j]}(x_2)=b_j \text{ for } j=0,\dots, k.$

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