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Weyl’s law for Hecke operators on GL(n) over imaginary quadratic number fields
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 139, Number 1, February 2017
- pp. 57-145
- 10.1353/ajm.2017.0001
- Article
- Additional Information
We prove Weyl's law for Hecke operators acting on cusp forms of ${\rm GL}(n)$ 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.