Loading...
Please wait, while we are loading the content...
Similar Documents
On the greatest common divisor of two univariate polynomials, II
| Content Provider | Semantic Scholar |
|---|---|
| Author | Schinzel, Andrzej |
| Copyright Year | 2001 |
| Abstract | The first paper of this series [4] has concerned the supremum A(r, s,K) of the number of non-zero coefficients of (f, g), where f, g run through all univariate polynomials over a field K with exactly r and s non-zero coefficients, respectively. The only case where A(r, s,K) has remained to be evaluated is r = s = 3, p = charK = 0. This case is studied in the present paper. Let us denote by ζq a primitive complex root of unity of order q, set Pn,m(z) = (1− z)(z − zn)(n−m)/(n,m)(zn − 1)−n/(n,m) and for a trinomial T (x) = x + ax + b ∈ C[x], where n > m > 0, ab 6= 0, |
| Starting Page | 95 |
| Ending Page | 106 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.4064/aa98-1-6 |
| Volume Number | 98 |
| Alternate Webpage(s) | https://www.impan.pl/shop/publication/transaction/download/product/83164 |
| Alternate Webpage(s) | https://doi.org/10.4064/aa98-1-6 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
