Coefficient bounds for level 2 cusp forms
Tom 168 / 2015
Acta Arithmetica 168 (2015), 341-367
MSC: Primary 11F30.
DOI: 10.4064/aa168-4-2
Streszczenie
We give explicit upper bounds for the coefficients of arbitrary weight $k$, level 2 cusp forms, making Deligne's well-known $O(n^{(k-1)/{2}+\epsilon })$ bound precise. We also derive asymptotic formulas and explicit upper bounds for the coefficients of certain level 2 modular functions.
