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Character sums for primitive root densities

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Abstract : 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.

MSC Codes :
11R45 - Density theorems

    Information on the Video

    Language : English
    Available date : 09/10/14
    Conference Date : 19/02/14
    Subseries : Research School
    arXiv category : Number Theory
    Mathematical Area(s) : Number Theory
    Format : MP4 (.mp4) - HD
    Video Time : 01:05:45
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2014-02-19_Stevenhagen_part2.mp4

Information on the Event

Event Title : Jean-Morlet Chair - Doctoral school : Frobenius distribution on curves / Chaire Jean-Morlet - Ecole doctorale : distribution de Frobenius sur des courbes
Dates : 17/02/2014 - 28/02/14
Event Year : 2014
Event URL : https://www.chairejeanmorlet.com/1059.html

Citation Data

DOI : 10.24350/CIRM.V.18604803
Cite this video as: (2014). Character sums for primitive root densities. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18604803
URI : http://dx.doi.org/10.24350/CIRM.V.18604803

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