Ramanujan's conjecture for half-integral weight modular forms
Let f(z)=∑n=1∞af(n)nk−12qnf(z) = \sum^{\infty}_{n=1} a_f(n) n^{\frac{k-1}{2}} q^nf(z)=∑n=1∞af(n)n2k−1qn be a half-integral weight modular form of weight k=ℓ+12k=\ell+\frac{1}{2}k=ℓ+21 on Γ0(4N)\Gamma_0(4N)Γ0(4N), where k∈Nk \in \mathbb{N}k∈N,…
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