Mean Values of Derivatives of L-functions in Function Fields: II
Journal of Number Theory
© 2017 Elsevier Inc. All rights reserved.
Reason for embargo
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.
This is the author accepted manuscript. The final version is available from Elsevier via the DOI in this record.
Published online 22 September 2017
Showing items related by title, author, creator and subject.
Altered functional brain network connectivity and glutamate system function in transgenic mice expressing truncated Disrupted-in-Schizophrenia 1 Dawson, N.; Kurihara, M.; Thomson, D.M.; Winchester, C.L.; McVie, A.; Hedde, J.R.; Randall, AD; Shen, S; Seymour, P.A.; Hughes, Z.A.; Dunlop, J.; Brown, JT; Brandon, N.J.; Morris, B.J.; Pratt, J.A. (Nature Publishing Group, 2015-05-19)Considerable evidence implicates DISC1 as a susceptibility gene for multiple psychiatric diseases. DISC1 has been intensively studied at the molecular, cellular and behavioral level, but its role in regulating brain ...
Bointon, Thomas H.; Jones, GF; De Sanctis, A; Hill-Pearce, R; Craciun, Monica F.; Russo, Saverio (Nature Publishing Group, 2015-11-09)The efficiency of flexible photovoltaic and organic light emitting devices is heavily dependent on the availability of flexible and transparent conductors with at least a similar workfunction to that of Indium Tin Oxide. ...
Lifestyle factors, cognitive reserve, and cognitive function: results from the Cognitive Function and Ageing Study Wales, a population-based cohort Wu, Y-T; Teale, J; Matthews, F; Brayne, C; Woods, R; Clare, L (Elsevier: Lancet, 2016-11-25)Meeting Abstracts