A generalisation of Artin's conjecture for primitive roots

K. Matthews

Displaying similar documents to “A generalisation of Artin's conjecture for primitive roots”

On the number of primitive λ-roots

T. W. Müller, J.-C. Schlage-Puchta (2004)

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Computing higher rank primitive root densities

P. Moree, P. Stevenhagen (2014)

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We extend the "character sum method" for the computation of densities in Artin primitive root problems given by Lenstra and the authors to the situation of radical extensions of arbitrary rank. Our algebraic set-up identifies the key parameters of the situation at hand, and obviates the lengthy analytic multiplicative number theory arguments that used to go into the computation of actual densities. It yields a conceptual interpretation of the formulas obtained, and enables us to extend...

On the difference of the consecutive primitive roots

Yonghui Wang, Claus Bauer (2004)

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On the number of nonquadratic residues which are not primitive roots

Florian Luca, P. G. Walsh (2004)

Colloquium Mathematicae

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We show that there exist infinitely many positive integers r not of the form (p-1)/2 - ϕ(p-1), thus providing an affirmative answer to a question of Neville Robbins.