Littlewood's estimates for L‐functions in the hyperelliptic ensemble
Abstract
Abstract We investigate the analogs of certain classical estimates of Littlewood for the Riemann zeta‐function in the context of quadratic Dirichlet ‐functions over function fields. In some situations, we are actually able to establish finer results in the function field setup than what is currently known in the original number field setup, and this leads us to an educated guess on what could happen for the Riemann zeta‐function in such situations. Fourier analysis techniques play an important role in our approach.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Advanced Algebra and Geometry
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Bulletin of the London Mathematical Society
- Volume
- 58
- Issue
- 5
- Publication date
- 1 May 2026
- Language
- EN