Coefficient Bounds for Level 2 Cusp Forms and Modular Functions
  We give explicit upper bounds for the coefficients of arbitrary weight $k$, level 2 cusp forms, making Deligne's well-known $O(n^{\frac{k-1}{2}+\epsilon})$ bound precise. We also derive asymptotic formulas and explicit upper bounds for the coefficients of certain level 2 modular functions. 
Paul Jenkins, Kyle Pratt
math.NT