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Questions about half-integral weight modular forms, and more generally automorphic representations associated to metaplectic groups.
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A conjecture related to the Cohen-Oesterlé dimension formula of spaces of modular forms for ...
Denote $\operatorname{dim}(M_k(\Gamma_0(N)))$ by $m(k,N)$ and
$\operatorname{dim}(S_k(\Gamma_0(N)))$ by $s(k,N)$.
Let $N$ any positive multiple of $4$ and $j \ge 1$.
$$
a(N) := \frac1j \left(m \lef …