List questions from symmetric-polynomials

74

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How many terms are in $\sum \alpha_1^{a_1}\alpha_2^{a_2}\cdots \alpha_r^{a_r}\alpha_{r+1}\alpha_{r+2}\cdots \alpha_s$

Published on 14 Sep 2014 - 5:07

616

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Notation for writing down products of sets of combinations

Published on 15 Sep 2014 - 10:03

335

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How big are Kostka-Numbers

Published on 16 Sep 2014 - 20:24

1.4k

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Hard inequality $ (xy+yz+zx)\left(\frac{1}{(x+y)^2}+\frac{1}{(y+z)^2}+\frac{1}{(z+x)^2}\right)\ge\frac{9}{4} $

Published on 25 Mar 2026 - 12:50

188

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Implications of zero elementary symmetric polynomials over a finite field

Published on 08 Oct 2014 - 19:25

146

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An Inequality; $a^2+b^2=1$

Published on 13 Oct 2014 - 0:06

468

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Roots of simultaneous power sum equations (numerically or otherwise)

Published on 14 Oct 2014 - 10:02

945

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Properties of the 'forgotten' symmetric polynomials

Published on 25 Mar 2026 - 11:06

59

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Prove the following for integers

Published on 22 Oct 2014 - 15:03

120

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System of equations (contest problem)

Published on 26 Oct 2014 - 13:38

143

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Solving systems of equations

Published on 28 Oct 2014 - 13:14

243

Views

Cauchy Identity for a specialized product of Schur polynomials

Published on 25 Mar 2026 - 9:32

3.5k

Views

Ring of polynomials as a module over symmetric polynomials

Published on 03 Nov 2014 - 16:19

126

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$a_1^k+a_2^k+\dots+a_n^k$ integer implies all $a_i$ are integers?

Published on 15 Nov 2014 - 8:14

53

Views

Question about primes of polynomial type.

Published on 15 Nov 2014 - 23:01

List Question

How many terms are in $\sum \alpha_1^{a_1}\alpha_2^{a_2}\cdots \alpha_r^{a_r}\alpha_{r+1}\alpha_{r+2}\cdots \alpha_s$

Notation for writing down products of sets of combinations

How big are Kostka-Numbers

Hard inequality $ (xy+yz+zx)\left(\frac{1}{(x+y)^2}+\frac{1}{(y+z)^2}+\frac{1}{(z+x)^2}\right)\ge\frac{9}{4} $

Implications of zero elementary symmetric polynomials over a finite field

An Inequality; $a^2+b^2=1$

Roots of simultaneous power sum equations (numerically or otherwise)

Properties of the 'forgotten' symmetric polynomials

Prove the following for integers

System of equations (contest problem)

Solving systems of equations

Cauchy Identity for a specialized product of Schur polynomials

Ring of polynomials as a module over symmetric polynomials

$a_1^k+a_2^k+\dots+a_n^k$ integer implies all $a_i$ are integers?

Question about primes of polynomial type.

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