Self-reciprocal polynomials over finite fields.
Meyn, Helmut, Götz, Werner (1989)
Séminaire Lotharingien de Combinatoire [electronic only]
Similarity:
Meyn, Helmut, Götz, Werner (1989)
Séminaire Lotharingien de Combinatoire [electronic only]
Similarity:
S. D. Cohen (1982)
Compositio Mathematica
Similarity:
Anca Iuliana Bonciocat, Nicolae Ciprian Bonciocat (2006)
Acta Arithmetica
Similarity:
Zaharescu, Alexandru (2003)
Acta Universitatis Apulensis. Mathematics - Informatics
Similarity:
Andrej Dujella, Tomislav Pejković (2011)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Gaydarov, Petar, Delchev, Konstantin (2015)
Serdica Journal of Computing
Similarity:
Turan’s problem asks what is the maximal distance from a polynomial to the set of all irreducible polynomials over Z. It turns out it is sufficient to consider the problem in the setting of F2. Even though it is conjectured that there exists an absolute constant C such that the distance L(f - g) <= C, the problem remains open. Thus it attracts different approaches, one of which belongs to Lee, Ruskey and Williams, who study what the probability is for a set of polynomials ‘resembling’...
Borissov, Yuri, Ho Lee, Moon, Nikova, Svetla (2008)
Serdica Journal of Computing
Similarity:
This work was presented in part at the 8th International Conference on Finite Fields and Applications Fq^8 , Melbourne, Australia, 9-13 July, 2007. In this paper, we study the ratio θ(n) = λ2 (n) / ψ2 (n), where λ2 (n) is the number of primitive polynomials and ψ2 (n) is the number of irreducible polynomials in GF (2)[x] of degree n. Let n = ∏ pi^ri, i=1,..l be the prime factorization of n. We show that, for fixed l and ri , θ(n) is close to 1 and θ(2n) is not less than...
С. MacCluer (1967)
Acta Arithmetica
Similarity:
Car, Mireille (1994)
Portugaliae Mathematica
Similarity:
Gove Effinger (1983)
Acta Arithmetica
Similarity:
Robbins, Neville (1991)
International Journal of Mathematics and Mathematical Sciences
Similarity:
DoYong Kwon (2016)
Colloquium Mathematicae
Similarity:
We consider a certain class of polynomials whose zeros are, all with one exception, close to the closed unit disk. We demonstrate that the Mahler measure can be employed to prove irreducibility of these polynomials over ℚ.