Question

Diophantine equation for Multivariate Polynomial

score 208 · Answer 1 · 2026-05-05 08:11:10

208

Views

Diophantine equation for Multivariate Polynomial

Published on 05 May 2026 - 8:11

score 700 · Answer 2 · 2026-05-06 01:16:42

700

Views

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

Published on 06 May 2026 - 1:16

score 167 · Answer 3 · 2026-05-07 16:52:12

167

Views

Optimal normal basis in Tower field construction

Published on 07 May 2026 - 16:52

score 85 · Answer 4 · 2026-05-04 21:52:22

85

Views

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

Published on 04 May 2026 - 21:52

score 1.1k · Answer 5 · 2026-04-29 12:42:53

1.1k

Views

Polynomial rings are regular

Published on 29 Apr 2026 - 12:42

score 523 · Answer 6 · 2026-04-15 22:40:19

523

Views

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

Published on 15 Apr 2026 - 22:40

score 168 · Answer 7 · 2026-05-07 16:52:42

168

Views

Prove the next cyclic inequality

Published on 07 May 2026 - 16:52

score 54 · Answer 8 · 2026-04-14 15:46:14

54

Views

Sequence of Riccati's roots

Published on 14 Apr 2026 - 15:46

score 82 · Answer 9 · 2026-05-10 11:21:50

82

Views

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

Published on 10 May 2026 - 11:21

score 232 · Answer 10 · 2026-05-07 12:48:52

232

Views

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

Published on 07 May 2026 - 12:48

score 741 · Answer 11 · 2026-04-29 12:09:42

741

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 29 Apr 2026 - 12:09

score 66 · Answer 12 · 2026-05-04 00:56:21

66

Views

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

Published on 04 May 2026 - 0:56

score 131 · Answer 13 · 2026-05-10 11:20:51

131

Views

Show that $X^6 - 6125$ is irreducible

Published on 10 May 2026 - 11:20

score 125 · Answer 14 · 2026-05-10 11:21:55

125

Views

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

Published on 10 May 2026 - 11:21

score 49 · Answer 15 · 2026-05-07 10:12:23

49

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 07 May 2026 - 10:12

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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