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.
- 11M26 (primary)
- 11M50 (secondary)
Bui, H. M., & Florea, A. (2018). Hybrid Euler-Hadamard product for quadratic Dirichlet L–functions in function fields. Proceedings of the London Mathematical Society, 117(1), 65-99. https://doi.org/10.1112/plms.12123