# 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.

**1**

**1**answer

### Reference for a real algebraic geometry problem

**6**

**1**answer

### Irreducibility of a polynomial when the sum of its coefficients is prime

**1**

**0**answers

### Primes which do not divide certain homogeneous polynomials

**3**

**0**answers

### Special subalgebras of $\mathbb{C}[t,x_1,\ldots, x_n]\partial_{x_1}\oplus\ldots\oplus\mathbb{C}[t,x_1,\ldots, x_n]\partial_{x_n}$

**0**

**0**answers

### How to construct such a series of “partial” symmetric polynomials?

**-2**

**1**answer

### Polynomials of minimum degree that interpolate primes in intervals

**6**

**0**answers

### Characteristic polynomial of the Gcd matrix

**0**

**0**answers

### A polynomial formed from the roots of another polynomial ad infinitum

**3**

**0**answers

### Concavity of a rational function

**2**

**0**answers

### When does this limiting ratio give a real root $x$ to the equation of the form $\sum\limits_{k=0}^d \frac{x^k a_{k+1}}{k!}=0$?

**17**

**2**answers

### Approximation of smooth diffeomorphisms by polynomial diffeomorphisms?

**0**

**1**answer

### Diophantine equations that involve Gregory coefficients: a computational exercise

**4**

**0**answers

### Class number of certain polynomials

**0**

**0**answers

### The role of a combination of Eneström-Kakeya and Gauss-Lucas theorems: reference request or soft question, asking for this combination as tool

**3**

**0**answers

### Sum of squares of polynomials in one variable with missing powers

**4**

**0**answers

### Honda-Tate theorem and prescribing roots of $L$-functions

**3**

**1**answer

### Number of solutions of a degree 4 polynomial equation over a finite field

**2**

**1**answer

### A simple proof that non negative polynomials have even degree [closed]

**0**

**0**answers

### Bivariate basis functions with span that is closed under rotations in coordinate system

**1**

**1**answer

### On a quadratic diophantine equation

**1**

**1**answer

### How to do a multinomial theorem sum faster

**0**

**0**answers

### On the $\mathsf{LCM}$ of a set of integers defined by moduli of powers

**0**

**0**answers

### Interpolator coefficients using collocation method for Radau IIA method (in solve_ivp)

**1**

**1**answer

### Roots for $p(w)=n+\sum_{j=1}^{m}\frac{v_{j}}{w-v_{j}}$

**3**

**0**answers

### No common roots of complex polynomial and of its derivative

**1**

**1**answer

### Coefficients of $(2+x+x^2)^n$ from trinomial coefficients

**34**

**0**answers

### Is there a notion of polynomial ring in “one half variable”?

**2**

**1**answer

### Existence of solutions of polynomials systems (and their “rough” shape) over $\mathbb{R}$ & friends with positive-dimensional ideals

**25**

**1**answer

### SOS polynomials with integer coefficients

**8**

**2**answers

### What is the state-of-the-art for solving polynomials systems over fields that are not algebraically closed?

**4**

**1**answer

### A problem on polynomials

**3**

**0**answers

### Question about polynomials in $\mathbb{C}[x, y, z]$

**2**

**0**answers

### Reducible polynomial among sequence of polynomials

**6**

**2**answers

### The first part of the Hilbert sixteenth problem for elliptic polynomials

**0**

**0**answers

### Chinese remaindering to solve solvable diophantine equations

**1**

**0**answers

### Meaning and/or source of polynomials residually of the form $x^n(x-1)$ in Gabber's characterization of Henselian pairs?

**0**

**0**answers

### Fixing coefficients using analytic structure

**1**

**0**answers

### Phase angles of a complex eigenvector

**13**

**0**answers

### Galois groups of special polynomials

**1**

**1**answer

### A question on multiplicity of complex polynomial [closed]

**13**

**0**answers

### Galois group of polynomials related to Fibonacci and Catalan numbers

**3**

**1**answer

### Polynomial satisfying a functional equation [closed]

**1**

**0**answers

### On a structural decomposition of polynomials based on integral roots

**4**

**0**answers

### Is there a classification of higher-degree generalisations of confocal conic sections?

**2**

**0**answers

### Affine projection of polynomials for a given set of points

**3**

**0**answers

### Can a polynomial family of curves be identified by a polynomial satisfied by its derivatives?

**0**

**0**answers

### is it possible to prove this :$\sum_{n\le X}\tan(n!)=\mathcal{O}(X^{\alpha})$?, $\alpha <1$?

**2**

**1**answer

### When is a set defined by multivariate polynomial inequalities convex?

**0**

**1**answer

### Matrix whose entries are given by polynomial $A_{ij} = p(\lambda_i, \lambda_j)$; when is it positive semidefinite?

**7**

**0**answers