# 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**

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### Formula for the index of regularity of a generic Hilbert function

**6**

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### Infinitude of cyclotomic polynomials with a certain number of terms

**3**

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### Trees and Shabat polynomials

**6**

**2**answers

### Kernel of evaluation map into field of quotients

**3**

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### Reverse Markov-Bernstein inequality for trigonometric polynomials

**6**

**3**answers

### Sufficient conditions for a polynomial to be reducible over the integers

**1**

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### For univariate polynomial is non-negativity on an interval equivalent to having a nonnegative scalar product with non-negative polynomials

**33**

**7**answers

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

**7**

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### Discriminant of numerator of inverse logarithmic derivative operator iteration

**1**

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### Radial similarity of Newton polytopes

**1**

**1**answer

### Is there always a polynomial with real zeroes between two polynomials with real zeroes?

**0**

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### A simple question about polynomial ideals

**0**

**1**answer

### Polynomials $p$ such that $p$ and $p'$ preserve nonnegative numbers

**0**

**1**answer

### What is special about 2 + $\sqrt{3}$?

**3**

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### Deterministic procedure to find irreducible polynomials

**5**

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### Cardinality of the image of a polynomial modulo $p^n$

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### A system of polynomial equations has exactly one positive real zero

**2**

**2**answers

### Given a polynomial system, determine a simple set containing all its solutions

**4**

**1**answer

### Integral domain over which any non-constant, one variable, irreducible polynomial has degree 1

**11**

**2**answers

### Polynomials that preserve nonnegativity

**12**

**1**answer

### Factorization of polynomials into “shortest possible” factors

**4**

**1**answer

### Combinatorial formula for Betti numbers of a $k[x,y]$-module

**26**

**3**answers

### All polynomials are the sum of three others, each of which has only real roots

**5**

**2**answers

### An equality relation for complex numbers off the nonnegative real axis [closed]

**20**

**1**answer

### Are $\mathbb C$ , $\mathbb C[X]$ definable in $\mathbb C[[X]]$?

**2**

**1**answer

### Does anyone recognize these polynomials? Need to compute a riemann lebesgue type limit

**4**

**2**answers

### algorithm for finding radical expressions of all conjugates of an arbitrary algebraic number expressed in radicals

**5**

**0**answers

### Resultant of a binomial and a trinomial

**-2**

**1**answer

### What is an algorithm for generating a set of null (spacetime) vectors that add to zero? [closed]

**3**

**1**answer

### Closure of polynomials of a function in $L^2$

**1**

**1**answer

### Efficient algorithm for $x^n-x \mod P(x)$ over $GF(2^{12})$

**2**

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### Lifting irreducibility of polynomials over an integral domain to the quotient field

**14**

**1**answer

### Polynomials for which $f''$ divides $f$

**7**

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### Partition the rationals with respect to a multivariate polynomial which sends classes to classes

**1**

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### Question regarding the image of a polynomial map containing a small box

**0**

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### On polynomials that divide $x^m-1$?

**-2**

**1**answer

### Is there any pseudoprime that pass this test above tested range, or any prime that does not show these ending patterns?

**4**

**1**answer

### Semialgebraic sets containing irrational power functions

**1**

**1**answer

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

**5**

**2**answers

### is there any non prime (pseudoprime) that holds true for this test, or any prime that fall out of this test?

**0**

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### Root separation of polynomials with the same coefficients

**4**

**1**answer

### Second order recurrence relation for third order polynomial root

**18**

**2**answers

### Zeros of MacLaurin polynomials for the exponential function

**1**

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### What is known about the coefficients of high powers of the Vandermonde determinant?

**1**

**0**answers

### Does there exist a triplet of polynomials with natural coefficients with the following properties?

**3**

**1**answer

### How does the minimal degree of a monic polynomial with all values divisible by $p^n$ asymptotically behave?

**13**

**1**answer

### Minimal cardinality of a field where a polynomial has a root

**16**

**1**answer

### Cyclotomic polynomials 2

**5**

**1**answer

### Cyclotomic polynomials.

**1**

**1**answer