Estimates of generalized Chebyshev function on GL_m

Abstract

In this paper, we study the generalized Chebyshev function related to automorphic L-functions of $GL_m \left( {\mathbb{A}_\mathbb{Q} } \right)$, and estimate its asymptotic behavior with respect to the parameters of the original automorphic objects.

Keywords

Automorphic L-function / Chebyshev function / explicit formula / conductor

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