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-...

**11**

**1**answer

### Roots of lacunary polynomials over a finite field

**0**

**1**answer

### Parity and number of squares taken by polynomials in a range?

**7**

**1**answer

### Can a positive polynomial on sphere be represented as the sum of squares of spherical harmonics

**2**

**0**answers

### Convex hull of piece-wise linear functions

**5**

**0**answers

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

**9**

**1**answer

### Three theorems on the number of nonzero coefficients of a polynomial

**0**

**0**answers

### Can one polarize multihomogeneous polynomials?

**1**

**1**answer

### Finding a characteristic for which the zero-locus of an ideal is not empty

**4**

**2**answers

### A kind of exponential concavity for polynomials?

**3**

**1**answer

### Atoric equation

**1**

**0**answers

### Can we efficiently count modulo 2 the number of connected subgraphs of a planar graph?

**6**

**1**answer

### A question on symmetric matrices

**7**

**1**answer

### Random 3-manifolds in $R^4$

**3**

**1**answer

### Solutions to a system of homogeneous equations (inequalities)

**7**

**2**answers

### Algebraic power series over $\mathbb{F}_2$ as roots of polynomials of special form

**4**

**0**answers

### Is there a converse of Abhyankar-Moh-Suzuki theorem?

**2**

**1**answer

### Non-negativity condition for special quartic

**0**

**0**answers

### Coefficients $U_m(n,k)$ in the identity $n^{2m+1}=\sum\limits_{0\leq k \leq m}(-1)^{m-k}U_m(n,k)\cdot n^k$

**2**

**0**answers

### Growth estimates for polynomials with natural coefficients

**5**

**1**answer

### Finding a particular matrix factor

**1**

**1**answer

### do you recognize this polynomial with double factorials?

**4**

**1**answer

### $L^1$ norm of Littlewood polynomials on the unit circle

**6**

**1**answer

### An Optimization Problem with Complex Variables, regarding Eigenvalues of Circulant Matrices

**1**

**0**answers

### Questions about polynomial systems with parameter

**1**

**0**answers

### What can be said about $\{\deg(f),\deg(g),\deg(h)\}$, such that $k[f,g,h]=k[t]$?

**3**

**2**answers

### Factoring certain Hessians of real homogeneous bivariate polynomials

**0**

**0**answers

### Bounded polynomial having coefficients that are bounded linearly in degree and number of variables

**7**

**1**answer

### Prove that these are polynomials

**1**

**1**answer

### Dimension of $S$-units over $\mathbb{C}[x]$

**2**

**0**answers

### Lacunary fully reducible polynomial over a finite field

**7**

**1**answer

### Real-rootedness of some polynomials

**3**

**0**answers

### Structure of $k[X,Y,X^a/Y^b]$, name for such rings

**9**

**1**answer

### Real polynomial bounded at inverse-integer points

**7**

**0**answers

### Positivity of certain polynomial coefficients

**7**

**0**answers

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

**2**

**0**answers

### Real-rooted polynomials with coefficient constraints

**2**

**1**answer

### Lüroth theorem for $k \subset k(f,g) \subseteq k(x)$

**8**

**1**answer

### Patterns in roots of integer-coefficient polynomials

**2**

**1**answer

### Linear difference inequality

**5**

**1**answer

### When is a linear combination of the elementary symmetric polynomials reducible?

**7**

**2**answers

### How different can the constituents of an Ehrhart quasi-polynomial be?

**4**

**2**answers

### Univariate polynomial interpolation with restricted degrees

**2**

**1**answer

### Polynomials with no multiple root

**3**

**1**answer

### Locally nilpotent derivation on $A[X,Y]$ whose kernel is $A$; where $A$ is an affine $k$ domain, $char k=0$

**0**

**0**answers

### Change of polynomial eigenvalues between polynomials

**1**

**0**answers

### Factorially closed, finitely generated $k$-sub-algebra of $k[X_1,X_2,X_3]$ , where $k$ is algebraically closed field of positive characteristic

**2**

**2**answers

### These polynomials are always either even or odd [duplicate]

**3**

**1**answer

### Cancellation problem for Laurent polynomial rings and power series rings

**1**

**0**answers

### Factorially closed, finitely generated $k$-sub-algebra $A$ of $k[X_1,…,X_n]$, where $n>3$, $k$ is algebraically closed of char $0$, $trdeg_k A=n-1$

**4**

**1**answer