Question

What's the meaning of setting a power symmetric polynomial to a given value

score 96 · Answer 1 · 2026-03-27 03:59:10

96

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What's the meaning of setting a power symmetric polynomial to a given value

Published on 27 Mar 2026 - 3:59

score 62 · Answer 2 · 2022-09-12 01:10:49

62

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$\frac{3}{b+c+d}+ \frac{3}{c+d+a}+\frac{3}{d+a+b}+\frac{3}{a+b+c} \ge \frac{16}{a+b+c+d}$ for $a,b,c,d>0$

Published on 12 Sep 2022 - 1:10

score 25 · Answer 3 · 2026-03-27 04:04:51

25

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Image of permutations $\lambda$ with $l(\lambda) \leq 2$ under RSK

Published on 27 Mar 2026 - 4:04

score 100 · Answer 4 · 2026-03-27 04:03:30

100

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Filling in the gap of a proof of the Fundamental Theorem of Symmetric Polynomials.

Published on 27 Mar 2026 - 4:03

score 414 · Answer 5 · 2026-02-23 06:09:11

414

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Algebraic Independence of symmetric power sum polynomials

Published on 23 Feb 2026 - 6:09

score 77 · Answer 6 · 2026-02-28 00:01:51

77

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Schur functors are pairwise non isomorphic

Published on 28 Feb 2026 - 0:01

score 163 · Answer 7 · 2026-03-30 20:52:39

163

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Finding Galois group of polynomial

Published on 30 Mar 2026 - 20:52

score 237 · Answer 8 · 2022-09-26 01:45:31

237

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$x_1^n + \cdots + x_{\ell} ^n$ an integer for all $n \in \mathbb{N}$

Published on 26 Sep 2022 - 1:45

score 331 · Answer 9 · 2022-10-09 23:05:52

331

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A smarter (not bashy) way to solve this roots of unity problem?

Published on 09 Oct 2022 - 23:05

score 334 · Answer 10 · 2022-10-14 02:02:34

334

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Prove an identity for elementary and complete symmetric homogeneous polynomials

Published on 14 Oct 2022 - 2:02

score 55 · Answer 11 · 2026-02-23 21:15:41

55

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Approximation of symmetric non-negative function, which is component-wise increasing by a symmetric polynomial with non-negative co-efficients

Published on 23 Feb 2026 - 21:15

score 46 · Answer 12 · 2022-10-17 16:06:01

46

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Being given a cyclic summation on 3 letters equal to $1$, deduce the value of another cyclic summation

Published on 17 Oct 2022 - 16:06

score 92 · Answer 13 · 2026-03-27 01:47:37

92

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Proving that $\sum_{i=0}^{n/2} (-1)^i \frac{n}{n-i} {n-i \choose i} = 2\cos(\frac{\pi n}{3})$

Published on 27 Mar 2026 - 1:47

score 69 · Answer 14 · 2022-10-23 14:49:19

69

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Condition for two multivariate polynomials to be equal up to a permutation of variables

Published on 23 Oct 2022 - 14:49

score 30 · Answer 15 · 2022-10-23 17:41:20

30

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Number of classes of terms in the $n$-th power of the elementary symmetric polynomial

Published on 23 Oct 2022 - 17:41

List Question

What's the meaning of setting a power symmetric polynomial to a given value

$\frac{3}{b+c+d}+ \frac{3}{c+d+a}+\frac{3}{d+a+b}+\frac{3}{a+b+c} \ge \frac{16}{a+b+c+d}$ for $a,b,c,d>0$

Image of permutations $\lambda$ with $l(\lambda) \leq 2$ under RSK

Filling in the gap of a proof of the Fundamental Theorem of Symmetric Polynomials.

Algebraic Independence of symmetric power sum polynomials

Schur functors are pairwise non isomorphic

Finding Galois group of polynomial

$x_1^n + \cdots + x_{\ell} ^n$ an integer for all $n \in \mathbb{N}$

A smarter (not bashy) way to solve this roots of unity problem?

Prove an identity for elementary and complete symmetric homogeneous polynomials

Approximation of symmetric non-negative function, which is component-wise increasing by a symmetric polynomial with non-negative co-efficients

Being given a cyclic summation on 3 letters equal to $1$, deduce the value of another cyclic summation

Proving that $\sum_{i=0}^{n/2} (-1)^i \frac{n}{n-i} {n-i \choose i} = 2\cos(\frac{\pi n}{3})$

Condition for two multivariate polynomials to be equal up to a permutation of variables

Number of classes of terms in the $n$-th power of the elementary symmetric polynomial

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