# 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.

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### Stability analysis with minimal spectral norm

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

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### Testing polynomials irreducible over the integers

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

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

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

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

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### A certain generalisation of the golden ratio

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### Integer valued polynomials over several variables

**5**

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

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

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

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### Intersection Solutions of four nonlinear equations

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### Reason Coppersmith fails here?

**9**

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### Nonnegative coefficients of a product of polynomials

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

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

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### Products of different cyclotomic polynomials

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

**3**

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

**11**

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### Products of Cyclotomic Polynomials with Nonnegative Coefficients

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### System of polynomial equations with a known root

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### An Ehrhart positivity question related to Schur polynomials

**4**

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### complex polynomial

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### Marsden's Identity and B-splines

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

**2**

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

**4**

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

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### Does Coppersmith technique suffice to factor?

**2**

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

**2**

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### Algebraically independent vectors in tensor product

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

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### Method of Coppersmith optimal for multivariate?

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### Independence of number fields generated by roots of Littlewood polynomials

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### $p_n(x,y)=\sum_{i=0}^{n-1}x^{n-1-i}y^{i}$ is always an integer

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### About Kazhdan Lusztig polynomial evaluating at q=1

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### $A,B,w \in \frac{\mathbb{Q}[t]}{(t^2-1)}[x,y]$: $\operatorname{Jac}(A,B)=1$, $\operatorname{Jac}(A,w)=0$, $w \notin \frac{\mathbb{Q}[t]}{(t^2-1)}[A]$

**1**

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### Prime generating polynomials

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### Semi-primes represented by quadratic polynomials

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

**3**

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### Positive real root separation (v2)

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### Is this a possible strengthening of the Lehmer conjecture?

**4**

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### Positive real root separation

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### Asymptotics of Littlewood polynomials

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### Roots of anti-palindromic polynomial if coefficients are odd.

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### $f,g \in \mathbb{Z}[x,y]$ satisfying: $\operatorname{Jac}(f,g)=0$ and $f,g \notin \mathbb{Z}[h]$ for every $h \in \mathbb{Z}[x,y]$?

**1**

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### Reference request for anti-palindromic polynomials.

**1**

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

**4**

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

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**1**answer