Computing higher rank primitive root densities

Details Computing higher rank primitive root densities Computing higher rank primitive root densities

2012-03-20

arxiv.org/abs/1203.4313v1

Mathematics

Number Theory

18 pages

Scientific paper

We extend the character sum method for the computation of densities in Artin
primitive root problems developed by H. W. Lenstra and the authors to the
situation of radical extensions of arbitrary rank. This leads to dramatic
shortenings of the existing higher rank proofs, and enables us to extend their
range of application in a more or less straightforward way.

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