On Wave Front Sets of Global Arthur Packets of Classical Groups: Upper Bound

preprint2021arXivOpen access

Abstract

We prove a conjecture of the first-named author ([J14]) on the upper bound Fourier coefficients of automorphic forms in Arthur packets of all classical groups over any number field. This conjecture generalizes the global version of the local tempered LL-packet conjecture of F. Shahidi ([Sh90] and [Sh10]).

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