Question

Formula for coefficient of a certain polynomial to the nth power

score 111 · Answer 1 · 2026-03-26 06:28:38

111

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Formula for coefficient of a certain polynomial to the nth power

Published on 26 Mar 2026 - 6:28

score 99 · Answer 2 · 2023-03-07 12:55:34

99

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Prove a polynomial identity of $n$ variables

Published on 07 Mar 2023 - 12:55

score 92 · Answer 3 · 2023-03-13 18:11:42

92

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How to evaluate $|a_1|^2+|a_2|^2+|a_3|^2+\dots$ using elementary symmetric polynomials.

Published on 13 Mar 2023 - 18:11

score 133 · Answer 4 · 2026-03-26 01:27:11

133

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Antisymmetric polynomials in two variables

Published on 26 Mar 2026 - 1:27

score 63 · Answer 5 · 2026-03-26 01:09:23

63

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Determining Littlewood-Richardson coefficients $c_{\lambda,\mu}^{(2)}$ and $c_{\lambda,\mu}^{(1,1)}$.

Published on 26 Mar 2026 - 1:09

score 74 · Answer 6 · 2026-03-28 05:22:36

74

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Simplifying square of partial sums to sum of squares and products

Published on 28 Mar 2026 - 5:22

score 62 · Answer 7 · 2023-04-11 00:44:30

62

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Name for this specific type of function?

Published on 11 Apr 2023 - 0:44

score 159 · Answer 8 · 2023-04-14 14:32:35

159

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Prove $(a^3+b^3+c^3)^2 \ge 3(a^4 + b^4 + c^4)$ for $abc = 1$ ($a, b, c > 0$)

Published on 14 Apr 2023 - 14:32

score 128 · Answer 9 · 2023-04-15 19:37:32

128

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Clean form for derivative of symmetric polynomial?

Published on 15 Apr 2023 - 19:37

score 315 · Answer 10 · 2023-04-24 11:33:18

315

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If $x^4-8x^3+24x^2-32x-14=0$ has two real roots $x_1, x_2$ and two non-real roots $x_3, x_4$, find the value of $x_1x_2+x_3x_4$

Published on 24 Apr 2023 - 11:33

score 45 · Answer 11 · 2026-03-26 01:14:36

45

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Sum of absolute values of real values

Published on 26 Mar 2026 - 1:14

score 58 · Answer 12 · 2023-05-04 17:08:19

58

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Sum of function evaluated at roots of polynomial

Published on 04 May 2023 - 17:08

score 27 · Answer 13 · 2026-03-26 09:17:46

27

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Minimal generators for the ring of quasi-symmetric polynomials

Published on 26 Mar 2026 - 9:17

score 130 · Answer 14 · 2026-03-25 22:05:16

130

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$a,b,c\ge 0: ab+bc+ca=1$. Prove that: $\sqrt{a^2b^2+b^2c^2+c^2a^2}\ge \frac{a+b+c-6abc}{a^3+b^3+c^3+3abc}$

Published on 25 Mar 2026 - 22:05

score 34 · Answer 15 · 2026-03-25 07:46:31

34

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Is the $k$-th elementary symmetric polynomial of the singular values the nuclear norm of the $k$-th alternating power of the matrix?

Published on 25 Mar 2026 - 7:46

List Question

Formula for coefficient of a certain polynomial to the nth power

Prove a polynomial identity of $n$ variables

How to evaluate $|a_1|^2+|a_2|^2+|a_3|^2+\dots$ using elementary symmetric polynomials.

Antisymmetric polynomials in two variables

Determining Littlewood-Richardson coefficients $c_{\lambda,\mu}^{(2)}$ and $c_{\lambda,\mu}^{(1,1)}$.

Simplifying square of partial sums to sum of squares and products

Name for this specific type of function?

Prove $(a^3+b^3+c^3)^2 \ge 3(a^4 + b^4 + c^4)$ for $abc = 1$ ($a, b, c > 0$)

Clean form for derivative of symmetric polynomial?

If $x^4-8x^3+24x^2-32x-14=0$ has two real roots $x_1, x_2$ and two non-real roots $x_3, x_4$, find the value of $x_1x_2+x_3x_4$

Sum of absolute values of real values

Sum of function evaluated at roots of polynomial

Minimal generators for the ring of quasi-symmetric polynomials

$a,b,c\ge 0: ab+bc+ca=1$. Prove that: $\sqrt{a^2b^2+b^2c^2+c^2a^2}\ge \frac{a+b+c-6abc}{a^3+b^3+c^3+3abc}$

Is the $k$-th elementary symmetric polynomial of the singular values the nuclear norm of the $k$-th alternating power of the matrix?

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