Abstract
We develop a hybrid Euler-Hadamard product model for quadratic Dirichlet L–functions over function fields (following the model introduced by Gonek, Hughes and Keating for the Riemann-zeta function). After computing the first three twisted moments in this family of L–functions, we provide further evidence for the conjectural asymptotic formulas for the moments of the family.
| Original language | English |
|---|---|
| Pages (from-to) | 65-99 |
| Number of pages | 35 |
| Journal | Proceedings of the London Mathematical Society |
| Volume | 117 |
| Issue number | 1 |
| Early online date | 28 Mar 2018 |
| DOIs | |
| Publication status | Published - 1 Jul 2018 |
Keywords
- 11M06
- 11M26 (primary)
- 11M50 (secondary)