On Fourier coefficients of modular forms of half integral weight at   squarefree integers
  We show that the Dirichlet series associated to the Fourier coefficients of a half-integral weight Hecke eigenform at squarefree integers extends analytically to a holomorphic function in the half-plane $\re s\textgreater{}\tfrac{1}{2}$. This exhibits a high fluctuation of the coefficients at squarefree integers. 
Y.-J Jiang (TELECOM), Y.-K Lau, Emmanuel Royer (LMBP), J Wu (IECL)
math.NT