Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613940 | Journal of Mathematical Analysis and Applications | 2016 | 16 Pages |
Abstract
We investigate the first moment of the second derivative of quadratic Dirichlet L-functions over the rational function field. We establish an asymptotic formula when the cardinality of the finite field is fixed and the genus of the hyperelliptic curves associated to a family of Dirichlet L -functions over Fq(T)Fq(T) tends to infinity. As a more general result, we compute the full degree three polynomial in the asymptotic expansion of the first moment of the second derivative of this particular family of L-functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Julio Andrade, Surajit Rajagopal,