Notes on the Riemann zeta-function-IV
Balasubramanian, R ; Ramachandra, K ; Sankaranarayanan, A ; Srinivas, K
HAL, hal-01109628 / Harvested from HAL
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.
Publié le : 2000-07-04
Classification:  Poles,  Dirichlet series. Dirichlet polynomials,  [MATH]Mathematics [math]
@article{hal-01109628,
     author = {Balasubramanian, R and Ramachandra, K and Sankaranarayanan, A and Srinivas, K},
     title = {Notes on the Riemann zeta-function-IV},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01109628}
}
Balasubramanian, R; Ramachandra, K; Sankaranarayanan, A; Srinivas, K. Notes on the Riemann zeta-function-IV. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-01109628/