## R Balasubramanian ; K Ramachandra ; A Sankaranarayanan ; K Srinivas - Notes on the Riemann zeta-function-IV

hrj:141 - Hardy-Ramanujan Journal, January 1, 2000, Volume 23 - https://doi.org/10.46298/hrj.2000.141
Notes on the Riemann zeta-function-IV

Authors: R Balasubramanian ; K Ramachandra ; A Sankaranarayanan ; K Srinivas

In earlier papers of this series III and IV, poles of certain meromorphic functions involving Riemann's zeta-function at shifted arguments and Dirichlet polynomials were studied. The functions in question were quotients of products of such functions, and it was shown that they have many'' poles. The main result in the present paper is that the same conclusion remains valid even for finite sums of functions of this type.

Volume: Volume 23
Published on: January 1, 2000
Submitted on: March 3, 2015
Keywords: Poles, Dirichlet series. Dirichlet polynomials,[MATH] Mathematics [math]