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Results tagged with polynomials
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user 37555
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.
3
votes
Does there exist another form of the derivative for polynomials?
As there are several possibilities for $F$, here is an attempt at determining $H$.
Using the linearity of $F$ we have $H(\lambda x, y, \lambda u, v)=\lambda H(x, y, u, v)$. Taking the derivative with …
4
votes
Accepted
Divergence of a series related to Schinzel's hypothesis H
In the 1960's Turán wrote several papers on a function-theoretic sieve. He managed to express the number of prime twins in terms of roots of $L$-series. He began like you did by expressing $\Lambda$ a …
3
votes
Accepted
Parallel algorithm for modular multiplication of polynomials over Z/nZ
If the degree of the polynomials is $k$, then generalized Karatsuba schemes give the product of these polynomials in $O(k^{1+\varepsilon})$ multiplications modulo $n$, and these schemes parallelize very … well, as each step splits the multiplication of two polynomials into several multiplications of polynomials of smaller degree. …
- 19.6k
1
vote
counting complex roots which are root of unity times a real number
Now compute the gcd of these polynomials, compute the roots of the gcd numerically, and check whether these roots are on the lines $\{t\zeta:t\in\mathbb{R}\}$. …