Abstract.
We consider the mean value formula for general Dirichlet series by applying the approximate functional equation of Ramachandra’s type, and derive the sum formula for its coefficients. The improvement of Landau’s classical results is established for the general divisor function. We also obtain the asymptotic behaviour of the mean value when the real part of s is near the abscissa of absolute convergence.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Author information
Authors and Affiliations
Additional information
Received 2 July 2001; in revised form 29 October 2001
Rights and permissions
About this article
Cite this article
Kanemitsu, S., Sankaranarayanan, A. & Tanigawa, Y. A Mean Value Theorem for Dirichlet Series and a General Divisor Problem. Mh Math 136, 17–34 (2002). https://doi.org/10.1007/s006050200031
Issue Date:
DOI: https://doi.org/10.1007/s006050200031