# 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.

**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

**8**

**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

**10**

**1**answer

### Real polynomial bounded at inverse-integer points

**7**

**0**answers

### Positivity of certain polynomial coefficients

**8**

**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?

**5**

**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

### Two bivariate polynomials (or rational functions) that generate $\mathbb{C}(x,y)$

**1**

**2**answers

### What would be a standard reference for the formula of the discriminant of $f(t^d)$?

**7**

**1**answer

### invertibility of matrix over free associative algebra

**3**

**1**answer

### Lagrangian interpolation at Chebyshev points - estimate on coefficients in monomic basis

**6**

**1**answer

### The anti-symmetrization of a kind of polynomials in $\mathbb{Z}[x_1,x_2,\ldots,x_n]$

**0**

**0**answers

### How to bound the total variation distance between two polynomials of Gaussian random variables?

**32**

**4**answers

### A family of polynomials whose zeros all lie on the unit circle

**5**

**1**answer

### higher order analogues of sylvester's law of inertia?

**8**

**2**answers

### Coefficients of shifted Bernoulli polynomials

**0**

**1**answer

### Prove a special form of Schur polynomial identity [closed]

**0**

**1**answer

### Searching for matrices with some property

**1**

**1**answer

### A product of polynomials

**2**

**1**answer

### Efficient algorithm to compute resultants of sparse polynomials?

**8**

**2**answers

### Let $f \in \mathbb{Z}[x]$. Does $\bar{f}$ have as many roots in $\mathbb{F}_p$ as $f$ has in $\mathbb{C}$ for infinitely many primes $p$?

**5**

**0**answers

### How good are these probabilistic algorithms for the NP-hard problem gcd of sparse polynomials?

**0**

**0**answers

### If $F(x_1,0,\ldots,0)=(x_1,0,\ldots,0)$, then $F$ is bijective?

**6**

**0**answers

### Computing remainders modulo $\prod_{i\in S} (x-x_i)$ fast using FFT

**1**

**1**answer

### Polynomial Eigenvalue Problem with few non-zero coefficients

**2**

**1**answer

### Abhyankar-Moh embedding theorem without algebraic closedness

**4**

**0**answers