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Cross-posted from MSE (sorry about that, I now think it is more likely to get answer here). Let $F$ be a Siegel modular form for $\text{Sp}_4(\mathbb{Z})$ of genus two. Let it also be an eigenform for ...

Let $G=O(p,q)$ and $M$ the locally symmetric space obtained by taking th symmetric space of $O(p,q)$ and quotienting by an arithmetic group $\Gamma$. In INTERSECTION NUMBERS OF CYCLES ON LOCALLY ...

I am studying the following Poincare-like series, \begin{equation} F_k(\tau,\bar{\tau})=\sum_{\gamma\in\Gamma_{\infty}\backslash\Gamma}\sqrt{\text{Im}\gamma\tau}(q_{\gamma}\bar{q}_{\gamma})^k, \end{...

I’ve asked this question to quite a few people in person and so far haven’t seen a good answer... but I believe one should exist, so here goes! Ok, we all know how to (roughly) prove Fermat’s Last ...