Abstract
We establish bounds on shifted moments of families quadratic Dirichlet L-functions over function fields. These estimates are consistent with their conjectured orders of magnitude. As an application, we prove some bounds for moments of quadratic Dirichlet character sums over function fields.
| Original language | English |
|---|---|
| Pages (from-to) | 92-106 |
| Number of pages | 15 |
| Journal | Hardy-Ramanujan Journal |
| Volume | 47 |
| DOIs | |
| State | Published - 2024 |
Keywords
- quadratic Dirichlet character sums
- quadratic Dirichlet L-functions
- shifted moments
- upper bounds
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