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Coefficient Bounds for Level 2 Cusp Forms and Modular Functions (1408.1083v1)
Published 5 Aug 2014 in math.NT
Abstract: 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.
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