Abstract
Let π be an irreducible unitary cuspidal representation for GLm(AQ), and let L(s,π) be the automorphic L-function attached to π, which has a Dirichlet series expression in the half-plane ℜes>1. When π is self-contragredient, all the coefficients in the Dirichlet series expression are real. In this paper we give non-trivial lower bounds for the number of positive and negative coefficients, respectively.
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