Weyl's law for Hecke operators on GL(n) over imaginary quadratic number fields

AMERICAN JOURNAL OF MATHEMATICS(2017)

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摘要
We prove Weyl's law for Hecke operators acting on cusp forms of GL(n) over imaginary quadratic number fields together with an upper bound for the error term depending explicitly on the Hecke operator. This has applications to the theory of low-lying zeros of families of automorphic L-functions.
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Automorphic Forms
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