New posts in symmetric-polynomials

Proving an identity for complete homogenous symmetric polynomials

combinatorics symmetric-polynomials symmetric-functions algebraic-combinatorics

Inequality for Olympiad students

inequality contest-math cauchy-schwarz-inequality symmetric-polynomials uvw

It may be a strengthening form of mean inequality

inequality contest-math substitution symmetric-polynomials uvw

Show that the roots of the polynomial $x^4 - px^3 + qx^2 - pqx + 1 = 0$ satisfy a certain relationship

algebra-precalculus polynomials symmetric-polynomials

Inequality $abdc$ $\leq$ $3$

inequality substitution symmetric-polynomials

Evaluating $\sum_{cyc} \frac{a^4}{(a-b)(a-c)}$, where $a=-\sqrt3+\sqrt5+\sqrt7$ , $b=\sqrt3-\sqrt5+\sqrt7$, $c=\sqrt3+\sqrt5-\sqrt7$

algebra-precalculus summation contest-math symmetric-polynomials symmetric-functions

Reciprocal binomial coefficient polynomial evaluation

combinatorics polynomials binomial-coefficients symmetric-polynomials

Geometry of Elementary Symmetric Polynomials

algebraic-geometry symmetric-polynomials

Find the value of $x_1^6 +x_2^6$ of this quadratic equation without solving it

algebra-precalculus quadratics symmetric-polynomials

Prove that $a^4+b^4+1\ge a+b$.

algebra-precalculus inequality symmetric-polynomials a.m.-g.m.-inequality

Solve this question

systems-of-equations nonlinear-system symmetric-polynomials

Bases for symmetric polynomials

combinatorics linear-transformations symmetric-polynomials

Suppose $ x+y+z=0 $. Show that $ \frac{x^5+y^5+z^5}{5}=\frac{x^2+y^2+z^2}{2}\times\frac{x^3+y^3+z^3}{3} $. [duplicate]

algebra-precalculus symmetric-polynomials

Proofs of The Fundamental Theorem of Symmetric Polynomials

abstract-algebra symmetric-polynomials

Polynomials invariant under the action of $S_m \times S_n$

commutative-algebra representation-theory symmetric-polynomials

Reference for a real algebraic geometry problem

algebraic-geometry reference-request polynomials real-algebraic-geometry symmetric-polynomials

Generalizing Newton's identities: Trace formula for Schur functors

representation-theory symmetric-groups symmetric-polynomials

I want to show that the polynomial below has integer coefficients.

polynomials roots symmetric-polynomials

A system of equations with 5 variables: $a+b+c+d+e=0$, $a^3+b^3+c^3+d^3+e^3=0$, $a^5+b^5+c^5+d^5+e^5=10$

algebra-precalculus trigonometry systems-of-equations symmetric-polynomials

Finding $x^8+y^8+z^8$, given $x+y+z=0$, $\;xy +xz+yz=-1$, $\;xyz=-1$

calculus algebra-precalculus systems-of-equations roots symmetric-polynomials