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Determination of $GL(3)$ Hecke-Maass forms from twisted central values
Published 30 Jan 2014 in math.NT | (1401.7907v1)
Abstract: Suppose $\pi_1$ and $\pi_2$ are two Hecke-Maass cusp forms for $SL(3,\mathbb{Z})$ such that for all primitive character $\chi$ we have $$ L(\tfrac{1}{2},\pi_1\otimes\chi)=L(\tfrac{1}{2},\pi_2\otimes\chi). $$ Then we show that $\pi_1=\pi_2$.
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