Computing higher rank primitive root densities

• Autorzy: P. Moree , P. Stevenhagen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11L03: Trigonometric and exponential sums, general
• 11R45: Density theorems
• 11N13: Primes in progressions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 163
• Numer: 1
• Strony: 15-32

Daty

wydano

2014

Twórcy

autor

P. Moree

• Max-Planck-Institut für Mathematik, Vivatsgasse 7, 53111 Bonn, Germany

autor

P. Stevenhagen

• Mathematisch Instituut, Universiteit Leiden, Postbus 9512, 2300 RA Leiden, The Netherlands

Identyfikatory

DOI

10.4064/aa163-1-2