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Displaying similar documents to “Sets of primitive roots”

On the Asymptotic Behavior of the Ratio between the Numbers of Binary Primitive and Irreducible Polynomials

Borissov, Yuri, Ho Lee, Moon, Nikova, Svetla (2008)

Serdica Journal of Computing

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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...

A polynomial related to the cyclotomic polynomial

L. Carlitz (1972)

Rendiconti del Seminario Matematico della Università di Padova

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$λ$ -primitive roots

Vegh, Emanuel (1981)

Portugaliae mathematica

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Sequences of reducible ${0, 1}$ -polynomials modulo a prime.

Canner, Judith, Jones, Lenny, Purdom, Joseph (2006)

Journal of Integer Sequences [electronic only]

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Cyclotomic units and Hilbert's Satz 90

Moris Newman (1982)

Acta Arithmetica

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Primitive quadratics reflected in $B_{2}$ -sequences.

Lindström, B. (1999)

Portugaliae Mathematica

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Computational proof of some theorems on class numbers

Stanislav Jakubec (2004)

Mathematica Slovaca

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On the special solutions of an equation in a finite field.

Li, Hailong, Zhang, Wenpeng (2003)

International Journal of Mathematics and Mathematical Sciences

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A review of Costas arrays.

Drakakis, Konstantinos (2006)

Journal of Applied Mathematics

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