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FFA
2010
84views more  FFA 2010»
13 years 3 months ago
Generating series for irreducible polynomials over finite fields
We count the number of irreducible polynomials in several variables of a given degree over a finite field. The results are expressed in terms of a generating series, an exact for...
Arnaud Bodin
MOC
1998
98views more  MOC 1998»
13 years 4 months ago
Distribution of irreducible polynomials of small degrees over finite fields
D. Wan very recently proved an asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. In this note we ...
Kie H. Ham, Gary L. Mullen
FFA
2010
159views more  FFA 2010»
13 years 2 months ago
Parity of the number of irreducible factors for composite polynomials
Various results on parity of the number of irreducible factors of given polynomials over finite fields have been obtained in the recent literature. Those are mainly based on Swan&...
Ryul Kim, Wolfram Koepf
MOC
2000
94views more  MOC 2000»
13 years 4 months ago
Irreducibility testing over local fields
The purpose of this paper is to describe a method to determine whether a bivariate polynomial with rational coefficients is irreducible when regarded as an element in Q((x))[y], th...
P. G. Walsh