Fourier coefficients of half-integral weight modular forms modulo ell

Ken Ono, Christopher Skinner

For each prime $\ell$, let $|\cdot {|}_{\ell }$ be an extension to $\bar \Q$ of the usual $\ell$-adic absolute value on $\Q$. Suppose $g(z) = \sum_{n=0}^\infty c(n)q^n \in M_{k+\half}(N)…