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Computing higher rank primitive root densities

100%

Moree P., Stevenhagen P.

Acta Arithmetica

2014

tom 163

nr 1

15-32

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 their range of application in a systematic way.

Multivariate Diophantine equations with many solutions

81%

Evertse J.-H., Moree P., Stewart C., Tijdeman R.

Acta Arithmetica

2003

tom 107

nr 2

103-125

Ograniczanie wyników

2 Acta Arithmetica

2 Moree P.

1 Evertse J.-H.

1 Stevenhagen P.

1 Stewart C.

1 Tijdeman R.

1 2014

1 2003

Wyniki wyszukiwania

Computing higher rank primitive root densities

Multivariate Diophantine equations with many solutions