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 |
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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 - Jul 2018 |
Keywords
- 11M06
- 11M26 (primary)
- 11M50 (secondary)