Article contents
The fifth moment of Hecke L-functions in the weight aspect
Published online by Cambridge University Press: 14 January 2019
Abstract
We prove an upper bound for the fifth moment of Hecke L-functions associated to holomorphic Hecke cusp forms of full level and weight k in a dyadic interval K ≤ k ≤2K, as K → ∞. The bound is sharp on Selberg’s eigenvalue conjecture.
MSC classification
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 168 , Issue 3 , May 2020 , pp. 543 - 566
- Copyright
- Copyright © Cambridge Philosophical Society 2019
References
REFERENCES
- 4
- Cited by