# 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.

**3**

**1**answer

### Orthogonal basis of polynomials?

**23**

**2**answers

### Does every positive continuous function have a non-negative interpolating polynomial of every degree?

**2**

**1**answer

### $(x + y + z)…(x + y\omega_n^{n-1} + z\omega_n) = x^n + y^n + z^n - P(x,y,z)$ To find $P$

**0**

**0**answers

### gcd of polynomial values

**3**

**1**answer

### A geometric property about certain polynomials in two variables

**4**

**1**answer

### Is there any Menelaus-type theorem for polynomials?

**7**

**1**answer

### The determinant of a $4\times4$ matrix associated to some specific polynomial as follow

**0**

**1**answer

### Algebraic independence of certain values implies algebraic independence of functions?

**8**

**0**answers

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

**4**

**1**answer

### Polynomial expansions via prime-base digits

**3**

**1**answer

### Solving polynomial inequalities — efficient Positivstellensatz on a computer

**2**

**0**answers

### Classes of curves with “determinant-like operation”

**3**

**0**answers

### Name of a polynomial basis

**5**

**1**answer

### On the linear factors of a polynomial obtained from the determinant of a matrix whose entries are related to Binomial expansion

**2**

**0**answers

### Polynomials passing through points with tangential conditions

**6**

**0**answers

### Which polynomials in the minors of a matrix are invariant under conjugation?

**3**

**0**answers

### Relationship bewteen Kazhdan-Lusztig Vogan polynomial and Kazhdan-Lusztig polynomial

**6**

**0**answers

### Descending chain of subalgebras of $k[x,y]$

**2**

**1**answer

### About Kazhdan-Lusztig polynomial

**5**

**1**answer

### Parabolic Kazhdan-Lusztig polynomial coincide?

**3**

**1**answer

### radical of a certain ideal of sixteen variable polynomial ring, generated by the entries of certain matrices

**2**

**1**answer

### Guess (or upper bound) the general formula for a double sequence

**1**

**1**answer

### Estimating the derivative of a polynomial on the unit circle

**6**

**2**answers

### Bound on sum of coefficients of polynomials w.r.t a weighted integral

**6**

**0**answers

### Extremal polynomial majorants of $\log{|f|}$: a multivariate extension of a theorem of Carneiro and Vaaler

**15**

**1**answer

### How can I distinguish a genuine solution of polynomial equations from a numerical near miss?

**0**

**0**answers

### Best method to compute sum of divisors of bounded evaluation of a bivariate quadratic?

**2**

**0**answers

### Intersection condition for polynomial ring and maximal ideals

**9**

**1**answer

### Roots and relation between polynomials and their derivatives

**16**

**1**answer

### Counting real zeros of a polynomial

**1**

**0**answers

### Locating “Polynomial interpolation in several variables” by Alexander and Hirschowitz

**12**

**2**answers

### 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

**7**

**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

**1**

**1**answer

### 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