Question

Smith Normal Form of a companion matrix of monic polynomial

score 136 · Answer 1 · 2026-03-27 22:06:33

136

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Smith Normal Form of a companion matrix of monic polynomial

Published on 27 Mar 2026 - 22:06

score 189 · Answer 2 · 2026-03-29 03:35:43

189

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Residue fields of $\mathbb Z[X_1,...,X_n]$ are always finite ?

Published on 29 Mar 2026 - 3:35

score 176 · Answer 3 · 2018-12-05 05:19:38

176

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Can roots of a polynomial stay on one side of the complex plane as the coefficients vary?

Published on 05 Dec 2018 - 5:19

score 2.7k · Answer 4 · 2018-12-05 14:44:44

2.7k

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Find the coefficient of $x^{70}$ in $(x^1-1)(x^2-2)(x^3-3)\cdots(x^{12}-12)$.

Published on 05 Dec 2018 - 14:44

score 398 · Answer 5 · 2018-12-05 15:01:10

398

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A function that separates points of $\mathbb{R}^N$

Published on 05 Dec 2018 - 15:01

score 488 · Answer 6 · 2026-03-27 07:16:57

488

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Is there a clever way to find the units of the quotient ring $\mathbb{Z}_6[x]/\langle x^2+2x\rangle$?

Published on 27 Mar 2026 - 7:16

score 136 · Answer 7 · 2026-03-26 06:03:42

136

Views

Proving an isomorphism between field extensions

Published on 26 Mar 2026 - 6:03

score 34 · Answer 8 · 2018-12-06 02:21:07

34

Views

Find minimum polynomial $p$ multiple of $(x^2+1)$, such that p-1 is multiple of $(x^3+1)$

Published on 06 Dec 2018 - 2:21

score 641 · Answer 9 · 2026-03-26 06:06:51

641

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Check if $x^4+4x^3+6x^2+2x+1$ is irreducible over $\mathbb Q[x]$

Published on 26 Mar 2026 - 6:06

score 97 · Answer 10 · 2018-12-06 05:05:06

97

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Can we have a simple root of real polynomials with coefficients as linear functions such that the curve of the root is tangent to imaginary axis?

Published on 06 Dec 2018 - 5:05

score 61 · Answer 11 · 2026-03-26 06:28:44

61

Views

Root of a plynomial in (0,1)

Published on 26 Mar 2026 - 6:28

score 202 · Answer 12 · 2026-02-23 06:58:19

202

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Product of gcd and lcm for multivariate polynomials

Published on 23 Feb 2026 - 6:58

score 1.9k · Answer 13 · 2026-04-01 17:11:50

1.9k

Views

How to find polynomial functions 3rd degree with no, one, two, three zeros(roots)?

Published on 01 Apr 2026 - 17:11

score 264 · Answer 14 · 2026-04-06 09:28:44

264

Views

Quotient of monomial ideals

Published on 06 Apr 2026 - 9:28

score 129 · Answer 15 · 2018-12-06 23:54:44

129

Views

If $f(z)=z+a_2z^2+...+a_nz^n$ is injective on the unit disk, then $|a_2|≤\frac12(n-1)$

Published on 06 Dec 2018 - 23:54

List Question

Smith Normal Form of a companion matrix of monic polynomial

Residue fields of $\mathbb Z[X_1,...,X_n]$ are always finite ?

Can roots of a polynomial stay on one side of the complex plane as the coefficients vary?

Find the coefficient of $x^{70}$ in $(x^1-1)(x^2-2)(x^3-3)\cdots(x^{12}-12)$.

A function that separates points of $\mathbb{R}^N$

Is there a clever way to find the units of the quotient ring $\mathbb{Z}_6[x]/\langle x^2+2x\rangle$?

Proving an isomorphism between field extensions

Find minimum polynomial $p$ multiple of $(x^2+1)$, such that p-1 is multiple of $(x^3+1)$

Check if $x^4+4x^3+6x^2+2x+1$ is irreducible over $\mathbb Q[x]$

Can we have a simple root of real polynomials with coefficients as linear functions such that the curve of the root is tangent to imaginary axis?

Root of a plynomial in (0,1)

Product of gcd and lcm for multivariate polynomials

How to find polynomial functions 3rd degree with no, one, two, three zeros(roots)?

Quotient of monomial ideals

If $f(z)=z+a_2z^2+...+a_nz^n$ is injective on the unit disk, then $|a_2|≤\frac12(n-1)$

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