Article ID Journal Published Year Pages File Type
8897118 Journal of Number Theory 2018 16 Pages PDF
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
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