✦ LIBER ✦
On an Involution Concerning Pairs of Polynomials over F2
✍ Scribed by Astrid Reifegerste
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 111 KB
- Volume
- 90
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
✦ Synopsis
the number of coprime m-tuples of monic polynomials of degree n over F q is equal to q nm &q (n&1) m+1 . In particular, among the ordered pairs of polynomials of degree n over F 2 there are as many relatively prime as non-relatively prime ones. We give an involution that proves this result.