# 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**

**0**answers

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

**3**

**0**answers

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

**1**

**0**answers

### Primes which do not divide certain homogeneous polynomials

**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

**17**

**2**answers

### Approximation of smooth diffeomorphisms by polynomial diffeomorphisms?

**1**

**1**answer

### Locus of roots of all convex combinations of two monic polynomials, II

**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 $\sum\limits_{k=0}^d \frac{x^k a_{k+1}}{k!}=0$?

**24**

**1**answer

### What are retracts of polynomial rings?

**6**

**2**answers

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

**0**

**1**answer

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

**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**

**1**answer

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

**4**

**0**answers

### Class number of certain polynomials

**1**

**2**answers

### Solutions to system of polynomial equations over finite fields

**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

**2**

**1**answer

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

**1**

**1**answer

### On a quadratic diophantine equation

**0**

**0**answers

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

**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)

**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

**1**

**1**answer

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

**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?

**13**

**0**answers

### Galois groups of special polynomials

**3**

**1**answer

### Find recurrence in Pascal-like triangle of polynomials

**4**

**1**answer

### A problem on polynomials

**8**

**0**answers

### An Ehrhart positivity question related to Schur polynomials

**6**

**1**answer

### explicit formula for the j-invariant of binary quartic form

**1**

**0**answers

### Phase angles of a complex eigenvector

**2**

**0**answers

### Reducible polynomial among sequence of polynomials

**3**

**0**answers

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

**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**

**2**answers

### Bivariate polynomial divisibility test of Spielman

**1**

**1**answer

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

**13**

**0**answers

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

**10**

**3**answers

### Zeros of polynomials related to Jensen polynomial associated with Riemann xi function $\xi(x)$

**3**

**1**answer

### Infinite order automorphisms of planar polynomials

**3**

**1**answer