On difference polynomials and hereditarily irreducible polynomials
โ Scribed by L.A Rubel; A Schinzel; H Tverberg
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 261 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For CI E Fq the finite field of order q and b E F,(a), let FJt(,fi) = F,(y). We obtain an explicit formula for the minimal polynomial h?(x) of y in terms of the greatest common divisor of two polynomials which are closely related to the minimal polynomials fl(x) of a and g&) of /I. We also give an a
Let k=GF(q) be the finite field of order q. Let f 1 (x), f 2 (x) # k[x] be monic relatively prime polynomials satisfying n=deg f 1 >deg f 2 0 and f 1 (x)รf 2 (x){ g 1 (x p )รg 2 (x p ) for any g 1 (x), g 2 (x) # k[x]. Write Q(x)= f 1 (x)+tf 2 (x) and let K be the splitting field of Q(x) over k(t). L