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Currently displaying 1 – 2 of 2

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A remark on trigonometric sums

Huixue Lao — 2008

Acta Arithmetica

The distribution of Fourier coefficients of cusp forms over sparse sequences

Huixue Lao; Ayyadurai Sankaranarayanan — 2014

Acta Arithmetica

Let $λ_{f} (n)$ be the nth normalized Fourier coefficient of a holomorphic Hecke eigenform $f (z) \in S_{k} (Γ)$ . We establish that $\sum_{n \leq x} λ_{f}^{2} (n^{j}) = c_{j} x + O (x^{1 - 2 / ({(j + 1)}^{2} + 1)})$ for j = 2,3,4, which improves the previous results. For j = 2, we even establish a better result.

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