Abstract
We consider a sum of the derivative of Dirichlet -functions over the zeros of the Dirichlet -function. We give an asymptotic formula for the sum.
Citation
Hirotaka Kobayashi. "On a certain sum of the derivative of Dirichlet -functions." Tsukuba J. Math. 46 (1) 121 - 143, July 2022. https://doi.org/10.21099/tkbjm/20224601121
Information
Received: 4 June 2021; Revised: 10 February 2022; Published: July 2022
First available in Project Euclid: 19 September 2022
MathSciNet: MR4489189
zbMATH: 1509.11079
Digital Object Identifier: 10.21099/tkbjm/20224601121
Subjects:
Primary:
11M06
,
11M26
Keywords:
derivative
,
Dirichlet L-function
,
Zeros
Rights: Copyright © 2022 University of Tsukuba, Institute of Mathematics
