Mean Values of Derivatives of L-functions in Function Fields: II
Journal of Number Theory
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Currently under an indefinite embargo pending publication by the publisher
This is the second part of our investigation of mean values of derivatives of L-functions in function fi elds. In this paper, speci cally, 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.
Awaiting citation and DOI