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Inequality of elementary symmetric polynomials

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#inequality #symmetric-polynomials
318
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Roots of a Cubic Polynomial with Elementary Symmetric Polynomial Coefficients

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#number-theory #roots #rational-numbers #symmetric-polynomials
64
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Looking for the name of particular collection of polynomials

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#abstract-algebra #symmetric-polynomials
146
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A system of simultaneous equations

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#systems-of-equations #symmetric-polynomials
81
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Is there a natural link between symmetric polynomials and symmetric algebra?

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#field-theory #modules #tensor-products #symmetric-polynomials
49
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Why does it mean that $n$-th variable is removable?

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#abstract-algebra #polynomials #symmetric-polynomials
101
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Does the fundamental theorem of symmetric polynomials hold in any ring?

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#abstract-algebra #symmetric-polynomials
113
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Where is "homogenuity" used in this proof?

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#abstract-algebra #proof-verification #symmetric-polynomials
409
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Solving Systems of Equations ( Binomial * Trinomial )

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#systems-of-equations #symmetric-polynomials
266
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Generating function of symmetric power representation

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#representation-theory #symmetric-polynomials
186
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system of equations 3 variables

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#systems-of-equations #symmetric-polynomials
109
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Divided power question.

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#abstract-algebra #combinatorics #symmetric-polynomials
295
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A "nice" orthogonal basis for translation invariant symmetric polynomials

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#orthogonal-polynomials #symmetric-polynomials #quantum-groups #symmetric-functions
151
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If $a+b+c$, $a^2+b^2+c^2$, $a^3+b^3+c^3$ are real, then so are a,b,c

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#complex-numbers #contest-math #symmetric-polynomials
207
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How to retrieve the expression of $a^3+b^3+c^3$ in terms of symmetric polynomials?

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#learning #symmetric-polynomials

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