In this work, we establish new nonvanishing results for automorphic -functions on . In particular, we show that, given a cuspidal automorphic form on and an arbitrary point , there exist infinitely many Dirichlet characters with prescribed ramification such that the twisted completed -functions do not vanish at : .
"Nonvanishing of -functions for ." Duke Math. J. 128 (2) 199 - 207, 1 June 2005. https://doi.org/10.1215/S0012-7094-04-12821-0