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arXiv · 2203.05359

Non-vanishing mod $p$ of theta lifts for (O_{2n+1},Mp_{4n})

Xiaoyu Zhang
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Abstract

We establish the non-vanishing mod $p$ of certain global theta lifts from a compact orthogonal group $\mathrm{O}_{2n+1}$ over $\mathbb{Q}$ to a metaplectic group $\mathrm{Mp}_{4n}$ over $\mathbb{Q}$ under mild conditions.

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Xiaoyu Zhang. 2022-03-10. Non-vanishing mod $p$ of theta lifts for (O_{2n+1},Mp_{4n}). https://doi.org/10.1515/forum-2024-0507

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