• Corpus ID: 232092162

Bounds on shifted convolution sums for Hecke eigenforms

@inproceedings{Nordentoft2021BoundsOS,
  title={Bounds on shifted convolution sums for Hecke eigenforms},
  author={Asbj{\o}rn Christian Nordentoft and Yiannis N. Petridis and Morten Skarsholm Risager},
  year={2021}
}
play an important rôle in analytic number theory, especially when λ is of arithmetic significance, see e.g. [16, 37, 6, 12, 18, 4, 2, 14] and the references therein. The case where λ(n) is the nth Hecke eigenvalue of an automorphic object is maybe the most interesting, and in this case the above sum is called a shifted convolution sum or sometimes a generalized additive divisor sum. Here are some examples: 

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