Determination of $GL(3)$ Hecke-Maass forms from twisted central values

Suppose $π_1$ and $π_2$ are two Hecke-Maass cusp forms for $SL(3,\mathbb{Z})$ such that for all primitive character $χ$ we have $L(\tfrac{1}{2},π_1\otimesχ)=L(\tfrac{1}{2},π_2\otimesχ).$ Then we show that $π_1=π_2$.

No reviews yet.

No comments yet.