Hybrid Euler‐Hadamard product for quadratic Dirichlet L–functions in function fields

Hybrid Euler‐Hadamard product for quadratic Dirichlet L–functions in function fields

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 evi...

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Veröffentlicht in:Proceedings of the London Mathematical Society 2018-07, Vol.117 (1), p.65-99
Hauptverfasser: Bui, H. M., Florea, Alexandra
Format: Artikel
Sprache:eng
Schlagworte:
11M06
11M26 (primary)
11M50 (secondary)
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Zusammenfassung: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.
ISSN:0024-6115
1460-244X
DOI:10.1112/plms.12123