Abstract
We obtain asymptotic formulas for the second and third moment of quadratic Dirichlet L-functions at the critical point, in the function field setting. We fix the ground field
Acknowledgements
I would like to thank Kannan Soundararajan for his suggestions and for the many helpful discussions we have had while working on this problem. I would also like to thank the anonymous referees for their valuable comments and suggestions.
References
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© 2017 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Hurewicz fibrations, almost submetries and critical points of smooth maps
- Lower bounds for regular genus and gem-complexity of PL 4-manifolds
- Diffusion semigroup on manifolds with time-dependent metrics
- Blow-up algebras, determinantal ideals, and Dedekind–Mertens-like formulas
- A computational approach to Milnor fiber cohomology
- Metrical universality for groups
- The second and third moment of L(1/2,χ) in the hyperelliptic ensemble
- Slender domains and compact domains
- Topological 2-generation of automorphism groups of countable ultrahomogeneous graphs
- A note on local Hardy spaces
- On the value group of a model of Peano Arithmetic
- Extremal values of the (fractional) Weinstein functional on the hyperbolic space
- Maximal subsemigroups of some semigroups of order-preserving mappings on a countably infinite set
- Unitals in shift planes of odd order
Artikel in diesem Heft
- Frontmatter
- Hurewicz fibrations, almost submetries and critical points of smooth maps
- Lower bounds for regular genus and gem-complexity of PL 4-manifolds
- Diffusion semigroup on manifolds with time-dependent metrics
- Blow-up algebras, determinantal ideals, and Dedekind–Mertens-like formulas
- A computational approach to Milnor fiber cohomology
- Metrical universality for groups
- The second and third moment of L(1/2,χ) in the hyperelliptic ensemble
- Slender domains and compact domains
- Topological 2-generation of automorphism groups of countable ultrahomogeneous graphs
- A note on local Hardy spaces
- On the value group of a model of Peano Arithmetic
- Extremal values of the (fractional) Weinstein functional on the hyperbolic space
- Maximal subsemigroups of some semigroups of order-preserving mappings on a countably infinite set
- Unitals in shift planes of odd order