Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8897118 | Journal of Number Theory | 2018 | 16 Pages |
Abstract
This is the second part of our investigation of mean values of derivatives of L-functions in function fields. In this paper, specifically, we prove several mean values results for the derivatives of L-functions in function fields when the average is taken over all discriminants, i.e., over all monic polynomials of a prescribed degree in Fq[T]. We establish exact formulas for the mean value of the μ-th derivative of L-functions in function fields at the critical point and we compute a few particular examples.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Julio Andrade,