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Results tagged with polynomials
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user 3206
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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Generating polynomials that are co-prime to their first and second derivatives
Consider polynomials which are also odd functions.
Edit: The above may be useful, but is not correct. …
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2
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Cyclotomic polynomials: $\Phi_n(p)$ is like $p^{\phi(n)}$ for big enough $p$, right?
I've decided to simplify the argument found in notes of Jameson, and at the same time improve the bounds and ranges of applicability. I'm rewriting for the purpose of understanding and the specific g …
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8
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Accepted
what part of using vieta's formulas violates quintic non-solvability?
The proper notion is "unsolvability with respect to a certain set of operations"; in the case of Galois-Abel's result regarding the quintic equation, this means that there will be no nice algebraic fo …
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19
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3
answers
2k
views
Cyclotomic polynomials: $\Phi_n(p)$ is like $p^{\phi(n)}$ for big enough $p$, right?
If there is a reference offered that says (something like) the coefficients of cyclotomic polynomials grow slowly enough to exhibit the bound, I will read that. … Jameson at http://www.maths.lancs.ac.uk/~jameson/cyp.pdf on
cyclotomic polynomials of a sharper result, which indeed is simpler but also more challenging. …
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1
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Degree necessary of a polynomial?
problem interesting is that the coordinates depend only on two parameters $b$ and $a$; for four parameters $c$ and $d$ replacing $a^2$ and $b^2$, it should be easy to generate examples which require polynomials …
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