List questions from symmetric-polynomials

Published on 25 Mar 2026 - 22:09

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Symmetric polynomials with Vieta's and Newton's theorems

Published on 12 Sep 2016 - 15:15

32

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What is a similar relation for $\sum_{n=0}^\infty{\frac{B_n(0!F(s),1!F(2s),\dots,(n-1)!F(ns))}{n!}}$

Published on 12 Sep 2016 - 23:48

683

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Solution of simultaneous equations using properties of symmetric polynomials

Published on 25 Mar 2026 - 19:02

158

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Given $abc=1$ and $0< c \leq b \leq1\leq a$, prove that $8(a+b+c)^2\le9(1+a^2)(1+b^2)(1+c^2)$

Published on 25 Mar 2026 - 22:05

115

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Generalizing proof of AM-GM inequality?

Published on 24 Sep 2016 - 3:32

118

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Writing a symmetric polynomial as a polynomial over the elementary symmetric polynomials

Published on 29 Sep 2016 - 1:14

176

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Complex numbers whose symmetric functions are real

Published on 27 Mar 2026 - 18:08

511

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Nonlinear equations in 3 variables

Published on 06 Oct 2016 - 9:36

163

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Prove or disprove $\sqrt[3]{\frac{(ab+bc+ac)(a^2+b^2+c^2)}{9}}\ge\sqrt[4]{\frac{(a^2b^2+b^2c^2+c^2a^2)}{3}}$

Published on 25 Mar 2026 - 22:05

118

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Given $\frac1{x+y+z}=\frac1x+\frac1y+\frac1z$ what can be said about $(x+y)(y+z)(x+z)$?

Published on 08 Oct 2016 - 14:37

78

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How to find the numbers?

Published on 10 Oct 2016 - 3:07

966

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An identity about Vandermonde determinant.

Published on 25 Mar 2026 - 23:36

204

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if $abc=1$,show that $a^3+b^3+c^3+\frac{256}{(a+1)(b+1)(c+1)}\ge 35$

Published on 25 Mar 2026 - 19:10

242

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Adding a function of a subset over all possible subsets

Published on 17 Oct 2016 - 15:28

List Question

Are polynomials with only real zeros log concave functions?

Symmetric polynomials with Vieta's and Newton's theorems

What is a similar relation for $\sum_{n=0}^\infty{\frac{B_n(0!F(s),1!F(2s),\dots,(n-1)!F(ns))}{n!}}$

Solution of simultaneous equations using properties of symmetric polynomials

Given $abc=1$ and $0< c \leq b \leq1\leq a$, prove that $8(a+b+c)^2\le9(1+a^2)(1+b^2)(1+c^2)$

Generalizing proof of AM-GM inequality?

Writing a symmetric polynomial as a polynomial over the elementary symmetric polynomials

Complex numbers whose symmetric functions are real

Nonlinear equations in 3 variables

Prove or disprove $\sqrt[3]{\frac{(ab+bc+ac)(a^2+b^2+c^2)}{9}}\ge\sqrt[4]{\frac{(a^2b^2+b^2c^2+c^2a^2)}{3}}$

Given $\frac1{x+y+z}=\frac1x+\frac1y+\frac1z$ what can be said about $(x+y)(y+z)(x+z)$?

How to find the numbers?

An identity about Vandermonde determinant.

if $abc=1$,show that $a^3+b^3+c^3+\frac{256}{(a+1)(b+1)(c+1)}\ge 35$

Adding a function of a subset over all possible subsets

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