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arxiv: 1401.7907 · v1 · pith:PYYHZYE6new · submitted 2014-01-30 · 🧮 math.NT

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

classification 🧮 math.NT
keywords formshecke-maassotimestfraccentralcharactercuspdetermination
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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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