Character sums for primitive root densities | Vidéo | Carmin.tv

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Character sums for primitive root densities

By Peter Stevenhagen

Appears in collection : Jean-Morlet Chair - Doctoral school : Frobenius distribution on curves / Chaire Jean-Morlet - Ecole doctorale : distribution de Frobenius sur des courbes

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.

Information about the video

Date of recording 19/02/2014
Date of publication 09/10/2014
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

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

Domain(s)

Number Theory

MSC codes

11R45 Density theorems

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