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Results tagged with polynomials
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user 129789
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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Integral zeros of the Newton polynomial
Given a vector $(a_1, a_2, \cdots a_s) \in \mathbb{R}^s$, there is a unique hyperplane, say $H$, of dimension $s-1$ perpendicular to it. For $s=1$, the polynomial $\binom{x}{c_1}$ is non-zero and mono …
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Integral zeros of the Newton polynomial
I'm trying to understand the following result;
Statement: A newton polynomial of the form
$$a_1 {x\choose c_1}+a_2{x\choose c_2}+a_3{x\choose c_3}+⋯+a_s{x\choose c_s},$$
where $0 ≤c_1<c_2<c_3<⋯<c_s$ …