For ``good Dirichlet series'' $F(s)$ we prove that there are infinitely many poles $p_1+ip_2$ in $\Im (s)>C$ for every fixed $C>0$. Also we study the gaps between the numbers $p_2$ arranged in the non-decreasing order.
Publié le : 1999-07-04
Classification:
Poles,
Dirichlet series,
gaps between poles,
[MATH]Mathematics [math]
@article{hal-01109608,
author = {Balasubramanian, R and Ramachandra, K and Sankaranarayanan, A},
title = {Notes on the Riemann zeta-function-IV},
journal = {HAL},
volume = {1999},
number = {0},
year = {1999},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-01109608}
}
Balasubramanian, R; Ramachandra, K; Sankaranarayanan, A. Notes on the Riemann zeta-function-IV. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-01109608/