Bounds on shifted convolution sums for Hecke eigenforms

@article{Nordentoft2022BoundsOS,
  title={Bounds on shifted convolution sums for Hecke eigenforms},
  author={Asbj{\o}rn Christian Nordentoft and Yiannis N. Petridis and Morten Skarsholm Risager},
  journal={Research in Number Theory},
  year={2022}
}
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. 
1 Citations
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