𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Finiteness of the set of conservative polynomials of given degree

✍ Scribed by A. V. Yagzhev


Publisher
SP MAIK Nauka/Interperiodica
Year
1987
Tongue
English
Weight
156 KB
Volume
41
Category
Article
ISSN
0001-4346

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The Number of Permutation Polynomials of
✍ Pinaki Das πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 139 KB

We relate the number of permutation polynomials in F q Β½x of degree d q Γ€ 2 to the solutions Γ°x 1 ; x 2 ; . . . ; x q Þ of a system of linear equations over F q , with the added restriction that x i =0 and x i =x j whenever i=j. Using this we find an expression for the number of permutation polynomi

On the Finiteness of Certain Rabinowitsc
✍ Dongho Byeon; H.M. Stark πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 67 KB

Let m be a positive integer and f m (x) be a polynomial of the form f m (x)=x 2 +x -m. We call a polynomial f m (x) a Rabinowitsch polynomial if for t=[ `m] and consecutive integers x=x 0 , x 0 +1, ..., x 0 +t -1, |f(x)| is either 1 or prime. In this note, we show that there are only finitely many R

Counting Polynomials with Zeros of Given
✍ Jean-FranΓ§ois Ragot πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 136 KB

We consider the set of polynomials in r indeterminates over a "nite "eld and with bounded degree. We give here a way to count the number of elements of some of its subsets, namely those sets de"ned by the multiplicities of their elements at some points of %P O . The number of polynomials having at l