# Questions tagged [polynomials]

Questions in which polynomials (single or several variables) play a key role. It is typically important that this tag is combined with other tags; polynomials appear in very different contexts. Please, use at least one of the top-level tags, such as nt.number-theory, co.combinatorics, ac.commutative-algebra, in addition to it. Also, note the more specific tags for some special types of polynomials, e.g., orthogonal-polynomials, symmetric-polynomials.

**25**

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### Mathieu group $M_{23}$ as an algebraic group via additive polynomials

**23**

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### Which sets of roots of unity give a polynomial with nonnegative coefficients?

**21**

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### Zero curves of Tutte Polynomials?

**19**

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### Polynomials with roots in convex position

**17**

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### GPS calculations under $L^p$ norms

**15**

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### Solving polynomial systems with homotopy. Where is the bottleneck?

**15**

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### Aligned roots of irreducible polynomials

**15**

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### Catalan objects associated to a univariate polynomial

**15**

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### Polynomials with presumably positive coefficients

**14**

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### Do the coefficients of these irreducible polynomials always become periodic?

**14**

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### Is OEIS A007018 really a subsequence of squarefree numbers?

**13**

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### Descartes rule of signs for a noncommutative polynomial in matrix variables

**13**

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### Are the zeros of Tutte polynomials dense in $\mathbb C^2$?

**11**

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### A congruence involving roots of unity

**11**

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### Integrability property of polynomials in several variables

**11**

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### Are there efficient algorithms to factorise in $\mathbb{N}[X]$?

**11**

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### Theorems proved using combinatorial nullstellensatz that have no other known proof

**11**

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### Evaluating products of cyclotomic polynomials at roots of unity

**10**

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### Reciprocal polynomials with roots off the unit circle

**10**

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### Positivity of polynomial sequences via generating series

**10**

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### Dissecting trapezoids into triangles of equal area

**9**

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### Semi-primes represented by quadratic polynomials

**9**

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### Reference request: integral formula for $\sum_{\text{roots }\lambda}e^{-|\lambda|^2}$

**9**

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### Generating functions of real-rooted polynomials

**9**

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### Is a wild automorphism of $k[x_1,\ldots,x_n]$, $n \geq 3$, necessarily of infinite order?

**9**

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### Is there a ``Ladner's Theorem" for the PH-vs-PSPACE scenario?

**9**

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### Getting a bound via polynomial equations

**9**

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### Symmetric Polynomials generating squares

**8**

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### How localized can a polynomial be in the L1 norm?

**8**

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### Is there an approximate formula for the discriminant of a sparse polynomial?

**8**

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### Nonzero subdeterminants conjecture: has anybody seen this anywhere?

**8**

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### Unprovable integer identity involving exponentiation

**8**

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### The density of minimal polynomials

**8**

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### Reduced resultants and Bezout's identity

**8**

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### Order of zeros for sparse polynomials mod $p$

**8**

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### How prove this polynomial inequality from a book

**8**

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### What is the probability of interpolating the Tutte polynomial of a planar graph from the values at the two hyperbolas?

**8**

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### Does anyone know this sequence of polynomials?

**8**

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### What is the relation between hypocycloids and ideals in polynomial rings as alluded to in Arnold's text on teaching mathematics?

**7**

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### Is this a possible strengthening of the Lehmer conjecture?

**7**

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### Reference request: A commutative variant of the Exterior Algebra

**7**

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### Positivity of certain polynomial coefficients

**7**

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### Partition the rationals with respect to a multivariate polynomial which sends classes to classes

**7**

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### Are polynomials with non-($S_n$ or $A_n$) Galois groups discrete?

**7**

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### Resultant of two special trinomials

**7**

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### Intersections of ideals in polynomial rings with countably many variables

**7**

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### Increasing derivatives of recursively defined polynomials

**7**

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### Why is solving polynomial systems NP hard?

**7**

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### Has anyone seen these binary trees (Catalan-type related to the Gegenbauer polynomials and Motzkin paths)?

**7**

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