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Character sums for primitive root densities

By Peter Stevenhagen

We study the entanglement of radical extensions over the rational numbers, and describe their Galois groups as subgroups of the full automorphism group of the multiplicative groups involved. A character sum argument then yields the densities (under GRH) for a wide class of primitive root problems in terms of simple ‘local’ computations.

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  • DOI 10.24350/CIRM.V.18604803
  • Cite this video Stevenhagen, Peter (19/02/2014). Character sums for primitive root densities. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18604803
  • URL https://dx.doi.org/10.24350/CIRM.V.18604803

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