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n-level densities for twisted cubic Dirichlet L-functions

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Abstract For any given cuspidal representation π of G L m ( A Q ) , we consider the family of automorphic L-functions L ( s , π × χ… Click to show full abstract

Abstract For any given cuspidal representation π of G L m ( A Q ) , we consider the family of automorphic L-functions L ( s , π × χ ) twisted by cubic Dirichlet characters. We compute the n-level density for this family and confirm that it agrees with unitary type U.

Keywords: cubic dirichlet; densities twisted; dirichlet functions; level densities; twisted cubic

Journal Title: Journal of Number Theory
Year Published: 2019

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