Deligne bound for Fourier coefficients of modular forms

E1094043 UNEXPLORED

The Deligne bound for Fourier coefficients of modular forms is a deep result in number theory, proved by Pierre Deligne, that gives optimal size estimates for the Fourier coefficients of cusp forms and confirms the Ramanujan–Petersson conjecture for modular forms.

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Ramanujan–Petersson conjecture predicts Deligne bound for Fourier coefficients of modular forms