Abstract
We use the theta correspondence between and to study the -distinction problems over a quadratic extension of nonarchimedean local fields of characteristic . With a similar strategy, we investigate the distinction problem for the pair , where is the unique inner form of defined over . Then we verify the Prasad conjecture for a discrete series representation of .
Citation
Hengfei Lu. "The Prasad conjectures for $\mathrm{GSp}_4$ and $\mathrm{PGSp}_4$." Algebra Number Theory 14 (9) 2417 - 2480, 2020. https://doi.org/10.2140/ant.2020.14.2417
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