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arXiv · 1401.7907

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

Ritabrata Munshi·Jyoti Sengupta
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Abstract

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 $π_1=π_2$.

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Ritabrata Munshi, Jyoti Sengupta. 2014-01-30. Determination of $GL(3)$ Hecke-Maass forms from twisted central values. https://arxiv.org/abs/1401.7907

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