# 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.

**0**

**0**answers

### Stability analysis with minimal spectral norm

**4**

**1**answer

### How many roots of polynomial in $\mathbb Z[x]$ and $\mathbb Q[x]$ are integers on average?

**1**

**0**answers

### Testing polynomials irreducible over the integers

**2**

**0**answers

### Does linear independence imply algebraic independence for partitioned homogeneous polynomials?

**-1**

**1**answer

### If $p_n(a,b)$ is a rational number (or integer) for 3 consecutive values of $n$ then every $p_n(a,b)$ is

**13**

**1**answer

### Elementary proof for Hilbert's irreducibility theorem

**0**

**0**answers

### Does Coppersmith technique suffice to factor?

**1**

**2**answers

### Function on two variables that restricts to a polynomial

**3**

**0**answers

### Biggest Cartesian Product Included in a Real Plane Curve

**3**

**1**answer

### A certain generalisation of the golden ratio

**2**

**1**answer

### Integer valued polynomials over several variables

**0**

**0**answers

### Probability of degree $0$ gcd between every pair of random homogeneous polynomials shifted by random primes?

**1**

**1**answer

### For every table of interpolating nodes, there is a positive continuous function whose interpolating polynomials are not positive infinitely often

**5**

**1**answer

### Deg $n$ integral polynomial $P(x)$ with $n+1$ integer solutions to $0\leq P\leq d$

**2**

**0**answers

### Algebraically independent vectors in tensor product

**1**

**1**answer

### A product of polynomials

**2**

**1**answer

### Lie-algebra-like relation for totally symmetric 4-tensors

**0**

**1**answer

### Reason Coppersmith fails here?

**1**

**0**answers

### Method of Coppersmith optimal for multivariate?

**1**

**1**answer

### Conjecture that relates matrix systems with some polynomials of integer coefficients as solution sets

**1**

**0**answers

### Relation between lifts of simple roots and lifts of idempotents (Henselian property)

**8**

**0**answers

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

**1**

**1**answer

### Intersection Solutions of four nonlinear equations

**4**

**1**answer

### Difference between Chebyshev first and second degree iterative methods

**3**

**1**answer

### Divergence of a series related to Schinzel's hypothesis H

**9**

**1**answer

### Nonnegative coefficients of a product of polynomials

**2**

**1**answer

### Linear difference inequality

**-2**

**0**answers

### On the sum $\sum_{x=0}^{(p-1)/2}(\frac{x^{4n}+cx^{2n}+d}p) $ with $p$ an odd prime

**-1**

**0**answers

### Products of different cyclotomic polynomials

**23**

**0**answers

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

**4**

**1**answer

### Subsets $E$ of $\mathbb{F}_{p^k}$ with vanishing polynomial subset sums

**4**

**1**answer

### On a (possible?) equivalence of Bunyakovsky conjecture

**11**

**1**answer

### Products of Cyclotomic Polynomials with Nonnegative Coefficients

**3**

**1**answer

### On a special type of subring of $\mathbb C[x_0,…,x_{q-1}]$

**3**

**0**answers

### Solutions to $w_x=CA_x$, $w_y=CA_y$ other than $w=f(A)$ and $C=f'(A)$?

**1**

**1**answer

### System of polynomial equations with a known root

**33**

**7**answers

### On the polynomial $\sum_{k=0}^n\binom{n}{k}(-1)^kX^{k(n-k)}$

**4**

**1**answer

### complex polynomial

**6**

**0**answers

### An Ehrhart positivity question related to Schur polynomials

**3**

**1**answer

### Marsden's Identity and B-splines

**6**

**0**answers

### Maximal subalgebras in polynomial ring $\mathbb{R}[x]$ over the field $\mathbb{R}$ of real numbers

**2**

**1**answer

### How do you quickly determine which coefficients are greater than zero when multiplying two univariate positive polynomials?

**17**

**4**answers

### Is there an intuitive explanation for an extremal property of Chebyshev polynomials?

**9**

**2**answers

### Is there an alternative formula for solving cubic equations?

**23**

**5**answers

### Monic polynomial with integer coefficients with roots on unit circle, not roots of unity?

**4**

**1**answer

### A Conjecture about the integral related to Chebyshev polynomial

**2**

**0**answers

### Bernstein bound on the number of roots of a rectangular multivariable polynomial systems

**19**

**1**answer

### Symmetric polynomial from graphs

**12**

**2**answers

### Roots of lacunary polynomials over a finite field

**3**

**0**answers