scientific article

zbMath0531.12011MaRDI QIDQ3312330

Carlos Julio Moreno

Publication date: 1984

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

ramificationChebotarev density theoremstrong multiplicity one theoremMordell conjectureautomorphic representations of GL(n)compatible systems of \(\ell\)-adic representationsdensity theorem for representations of relative Weil groupsdistribution of Frobenius conjugacy classesgeneration of Galois groups by Frobenius elementsHecke density theoremLinnik theoremproblems of effectivityShafarevich-Tate conjecturesuniform distribution of Grössencharakters

Mathematics Subject Classification ID

Galois theory (11R32) Theta series; Weil representation; theta correspondences (11F27) Algebraic moduli of abelian varieties, classification (14K10) Density theorems (11R45) Arithmetic ground fields for abelian varieties (14K15) Primes in congruence classes (11N13) Higher degree equations; Fermat's equation (11D41) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Ramification and extension theory (11S15) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Langlands-Weil conjectures, nonabelian class field theory (11R39) Arithmetic problems in algebraic geometry; Diophantine geometry (14G99) Research exposition (monographs, survey articles) pertaining to field theory (12-02)

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