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Equations over Finite Fields An Elementary Approach

✍ Scribed by W.M. Schmidt

Book ID
127406641
Publisher
Springer
Year
1976
Tongue
English
Weight
881 KB
Series
Lecture Notes in Mathematics
Edition
1
Category
Library
ISBN-13
9783540078555

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πŸ“œ SIMILAR VOLUMES

On an Elementary Density Problem for Pol
On an Elementary Density Problem for Polynomials over Finite Fields
✍ Wei-Chen Yao πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 282 KB

## Let M3% O [t] be a "xed polynomial and k52 be an integer. In this paper we will give the density of the set of all monic irreducible polynomials P for which P#M is a k-free polynomial.

On Diagonal Equations over Finite Fields
On Diagonal Equations over Finite Fields
✍ Sun Qi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 170 KB

We get an explicit formula for the number of solutions of a diagonal equation over finite fields, under a certain natural restriction on the exponents.

On Diagonal Equations over Finite Fields
On Diagonal Equations over Finite Fields
✍ JiaGui Luo; Qi Sun πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 104 KB

In this paper, we obtain a su$cient condition for the diagonal equation to have only the trivial solution over "nite "elds. This result improves a theorem of Sun (J. Sichuan Normal ;niv. Nat. Sci. Ed. 26 (1989), 55}59) greatly and proves that the conjecture posed by Powell (J. Number ΒΉheory 18 (1984