dc.contributor.author | Andrade, J | |
dc.date.accessioned | 2017-09-11T15:42:45Z | |
dc.date.issued | 2017-09-22 | |
dc.description.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 m-th derivative of L-functions in function fields at the critical point and we compute a few particular examples. | en_GB |
dc.identifier.citation | Published online 22 September 2017 | en_GB |
dc.identifier.doi | 10.1016/j.jnt.2017.08.038 | |
dc.identifier.uri | http://hdl.handle.net/10871/29288 | |
dc.language.iso | en | en_GB |
dc.publisher | Elsevier | en_GB |
dc.rights.embargoreason | Publisher policy | en_GB |
dc.rights | © 2017 Elsevier Inc. All rights reserved. | |
dc.subject | Function fields | |
dc.subject | Derivatives of L-functions | |
dc.subject | Moments of L-functions | |
dc.subject | Quadratic Dirichlet L-functions | |
dc.subject | Random matrix theory | |
dc.title | Mean Values of Derivatives of L-functions in Function Fields: II | en_GB |
dc.type | Article | en_GB |
dc.identifier.issn | 0022-314X | |
dc.description | This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record. | en_GB |
dc.identifier.journal | Journal of Number Theory | en_GB |