Abstract
In this article we unconditionally show that { μ ( n ) } \{\mu (n)\} is asymptotically orthogonal to { λ π ( n ) e ( n α ) } \{\lambda _{\pi }(n)e(n\alpha )\} where λ π ( n ) \lambda _{\pi }(n) is the n n -th Dirichlet coefficient of a GL ( m ) \operatorname {GL}(m) cusp form π \pi . Our result does not assume any unproven hypothesis.
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