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Roots of unity and symmetric polynomial

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#abstract-algebra #symmetric-polynomials
60
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Symmetric polynomial and degree

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#abstract-algebra #polynomials #symmetric-polynomials
208
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Solve the system of $3$ quadratic equations

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#systems-of-equations #quadratics #symmetric-polynomials
57
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Solving this system equations?

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#systems-of-equations #quadratics #symmetric-polynomials
54
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How do you solve these 2 equations?

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#systems-of-equations #quadratics #symmetric-polynomials
87
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Graded Ring Category vs Ring Category

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#abstract-algebra #category-theory #symmetric-polynomials #symmetric-functions
604
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Writing polynomial as a product of elementary symmetric polynomials

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#abstract-algebra #symmetric-polynomials
155
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irreducible polynomial $f$ in four variables with complex coefficients such that $f(x^3+y^3+z^3,x^2y+y^2z+z^2x,xy^2+yz^2+zx^2,xyz)=0$

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#algebraic-geometry #polynomials #commutative-algebra #symmetric-polynomials
299
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"Reverse" Vieta's Formulas

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#polynomials #roots #symmetric-polynomials
43
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symmetric polynomials in functions

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#abstract-algebra #symmetric-polynomials
62
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programming/coding and polynomials

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#computational-mathematics #symmetric-polynomials
138
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For $x$, $y$, $z$ the sides of a triangle, show $\sum_{cyc}\frac{yz((y+z)^2-x^2)}{(y^2+z^2)^2}\ge\frac{9(y+z-x)(x+z-y)(x+y-z)}{4xyz}$

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#inequality #symmetric-polynomials #sum-of-squares-method
77
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Are elementary symmetric polynomials evaluated in powers of double cosines of rational multiples of $\pi$ integer?

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#combinatorics #trigonometry #polynomials #symmetric-polynomials
90
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Solve the system $x^2(y+z)=1$ ,$y^2(z+x)=8$ and $z^2(x+y)=13$

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#algebra-precalculus #systems-of-equations #symmetric-polynomials
50
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How to solve the following system of equations?

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#systems-of-equations #quadratics #symmetric-polynomials

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