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Peter Stevenhagen: Character sums for primitive root densities
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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.
Recording during the thematic meeting: "Frobenius Distributions on curves" the February 19, 2014 at the Centre International de Rencontres Mathématiques (Marseille, France)
- Videos enriched with abstracts, bibliographies, Mathematics Subject Classification
- Multi-criteria search by author, title, tags, mathematical area
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.
Recording during the thematic meeting: "Frobenius Distributions on curves" the February 19, 2014 at the Centre International de Rencontres Mathématiques (Marseille, France)
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