# 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.

**4**

**1**answer

### Closure of polynomials in $L^2_w$ with log-normal weight function

**2**

**1**answer

### A polynomial function on $\mathbb{R}^3$ whose all level sets are mutually non isometric Riemannian manifolds

**10**

**2**answers

### Simple question about polynomials

**0**

**1**answer

### Relation between degree of root of determinant polynomial and rank of the matrix

**0**

**1**answer

### Are the inverses of a set of quadratic polynomials linearly independent?

**3**

**1**answer

### Linear homogenous polynomials that generates several quadratic polynomials

**1**

**1**answer

### About Frobenius Determinant Theorem

**0**

**1**answer

### Complexity of a polynomial

**8**

**0**answers

### Unprovable integer identity involving exponentiation

**8**

**3**answers

### Explicit formulas for invariants of binary quintic forms

**2**

**3**answers

### Linear homogenous polynomials that generates one quadratic polynomial

**4**

**1**answer

### Degrees of polynomials vanishing to various orders on a set of points

**9**

**0**answers

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

**3**

**1**answer

### What does this permutation polynomial look like?

**1**

**0**answers

### Algebraic properties of harmonic polynomials

**6**

**1**answer

### Reference request: maximal ratio of different norms of polynomials

**3**

**1**answer

### Is the following function a polynomial?

**1**

**1**answer

### Multiplicity of roots of a fewnomial

**5**

**1**answer

### (Variation of an old question) Are these functions polynomials?

**19**

**3**answers

### How to show that the following function isn't a polynomial over Q?

**-1**

**1**answer

### Why can't this polynomial vanish except when $x+y=0,xy= 0$? [closed]

**3**

**1**answer

### What does it mean polynomials share Newton polytope?

**6**

**2**answers

### Is every square root of an integer a linear combination of cosines of $\pi$-rational angles?

**1**

**2**answers

### How to prove the following polynomial does not have root of a special form?

**2**

**0**answers

### Can Davenport's estimate be extended to cubic polynomials with non-zero discriminant?

**4**

**2**answers

### Polynomials $P$ with integer roots near to $X^{\mathrm{deg}(P)}$

**0**

**0**answers

### Generically parameterize quartics in arbitrary dimension

**2**

**2**answers

### Questions about interlacing polynomials

**0**

**0**answers

### Does there exist a homogeneous polynomial $F$ whose partial derivatives satisfy the following inequalities?

**6**

**1**answer

### If $f,g \in D[x,y]$ are algebraically dependent over $D$, then $f,g \in D[h]$ for some $h\in D[x,y]$?

**9**

**1**answer

### Explicit forms for the roots of Eulerian polynomials

**3**

**0**answers

### Diagonalization of Hermitian Matrix Polynomials

**9**

**2**answers

### Semi group of polynomials which all roots lie on the unit circle

**21**

**3**answers

### Minimal polynomial of cos(π/n)

**0**

**1**answer

### Is the difference between polyfits for two data series equivalent to the polyfit of the difference between the two data series?

**15**

**2**answers

### Is there an explicit expression for Chebyshev polynomials modulo $x^r-1$?

**5**

**0**answers

### On a family of polynomials

**4**

**1**answer

### Proximity of solutions to system of degree two polynomials

**4**

**2**answers

### Summation of double exponential series

**2**

**2**answers

### Minimal polynomial of a trigonometric number

**1**

**2**answers

### Budan's theorem and real part of the roots

**1**

**0**answers

### Determining the Associated Sequence If Sheffer Conditions are not Met

**5**

**1**answer

### Polynomials on spaces of matrices

**18**

**5**answers

### What are the properties of this polynomial sequence?

**5**

**1**answer

### Stability of root-finding near the unit circle

**11**

**0**answers

### A congruence involving roots of unity

**3**

**1**answer

### $g(a)$ divides monic $f(a)$ many times, is this possible?

**11**

**1**answer

### Do almost all systems of quadratic equations have solutions?

**1**

**2**answers

### Is there a feasible way to compute the number of steps between two sequences generated by a linear feedback-shift register?

**8**

**0**answers