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Abstract Let f be a holomorphic newform of prime level p and trivial nebentypus. For p 1 + e ≪ M ≪ p 3 − e , and 0 |… Click to show full abstract
Abstract Let f be a holomorphic newform of prime level p and trivial nebentypus. For p 1 + e ≪ M ≪ p 3 − e , and 0 | u | ≪ M / p we prove that ∑ m = 1 ∞ λ f ( m ) λ f ( m + p u ) F ( m M ) ≪ p 1 / 4 + e M 3 / 4 where F is a compactly supported smooth bump function.
Keywords:
shifted convolution;
sum problem;
convolution sum
Journal Title: Journal of Number Theory
Year Published: 2021
Link to full text (if available)
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Journal Title: Journal of Number Theory
Year Published: 2021
Link to full text (if available)
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recommendations!