# What are the consequences of SOC for automorphic L functions belonging to the Selberg class?

The question is in the title: Selberg's orthonormality conjecture has been proved in a more precise form for automorphic L functions under the Generalized Ramanujan Conjecture, so that this conjecture is now a theorem for automorphic L functions that belong to the Selberg class. What are the interesting consequences of this theorem? Thanks in advance.

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