Bounds on shifted convolution sums for Hecke eigenforms
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Shifted convolution sums play a prominent rôle in analytic number theory. Here these sums are considered in the context of holomorphic Hecke eigenforms. We investigate pointwise bounds, mean-square bounds consistent with the optimal conjectural bound, and find asymptotics on average for their variance.
|Journal||Research in Number Theory|
|Publication status||Published - 2022|
© 2022, The Author(s).
- Shifted convolution sums