List questions from symmetric-polynomials

Published on 27 Aug 2015 - 17:11

398

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Number of monomial symmetric polynomials in three variables

Published on 06 Sep 2015 - 17:38

294

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System of polynomial equations with cyclic symmetry

Published on 11 Sep 2015 - 17:24

2.5k

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Proof that if $\mathrm{tr}\,A^k=0$ for all $k=1,\ldots, n$, then $A^n = 0$

Published on 26 Mar 2026 - 21:09

249

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Proof for $A,B \in M_n(\mathbb{F})$ that if $[A,B]=tA$ for $0\neq t\in\mathbb{F}$, then $A^n=0$

Published on 26 Mar 2026 - 21:14

208

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Prove $\prod\limits_{\mathrm{cyc}}(2-x^2+x) \le 4 +x+y+z+xyz$ for $x^2+y^2+z^2=3$

Published on 21 Sep 2015 - 3:53

115

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Expression for moments in terms of lower moments

Published on 24 Sep 2015 - 7:23

82

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Solution to the following set of equations

Published on 24 Sep 2015 - 16:54

373

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How to solve this equation $\ x^2-y^2=29$

Published on 26 Sep 2015 - 13:16

1.3k

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What is the sum of the cube of the roots of $ x^3 + x^2 - 2x + 1=0$?

Published on 27 Sep 2015 - 16:46

64

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Where is this converging to on $y=x$?

Published on 29 Sep 2015 - 14:56

46

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terms of taylor expansions of multiple variables at the origin

Published on 12 Oct 2015 - 6:26

113

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polynomials in terms of elementary symmetric polynomials

Published on 06 Mar 2026 - 22:48

195

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$(\alpha +\beta - \gamma - \delta)(\alpha -\beta + \gamma - \delta)(\alpha -\beta - \gamma + \delta)$ in terms of elementary symmetric polynomials?

Published on 09 Mar 2026 - 6:00

30

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Possible values for this specific line of variables.

Published on 21 Oct 2015 - 6:41

List Question

Inequality with Four Numbers

Number of monomial symmetric polynomials in three variables

System of polynomial equations with cyclic symmetry

Proof that if $\mathrm{tr}\,A^k=0$ for all $k=1,\ldots, n$, then $A^n = 0$

Proof for $A,B \in M_n(\mathbb{F})$ that if $[A,B]=tA$ for $0\neq t\in\mathbb{F}$, then $A^n=0$

Prove $\prod\limits_{\mathrm{cyc}}(2-x^2+x) \le 4 +x+y+z+xyz$ for $x^2+y^2+z^2=3$

Expression for moments in terms of lower moments

Solution to the following set of equations

How to solve this equation $\ x^2-y^2=29$

What is the sum of the cube of the roots of $ x^3 + x^2 - 2x + 1=0$?

Where is this converging to on $y=x$?

terms of taylor expansions of multiple variables at the origin

polynomials in terms of elementary symmetric polynomials

$(\alpha +\beta - \gamma - \delta)(\alpha -\beta + \gamma - \delta)(\alpha -\beta - \gamma + \delta)$ in terms of elementary symmetric polynomials?

Possible values for this specific line of variables.

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