10.46298/hrj.1999.139
https://hrj.episciences.org/139
Balasubramanian, R
R
Balasubramanian
Ramachandra, K
K
Ramachandra
Sankaranarayanan, A
A
Sankaranarayanan
Srinivas, K
K
Srinivas
Notes on the Riemann zeta Function-III
For a good Dirichlet series $F(s)$ (see Definition in \S1) which is a quotient of some products of the translates of the Riemann zeta-function, 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 ordinates of the consecutive poles of $F(s)$.
episciences.org
mean-value
short-intervals
maximum-modulus principle
Hadamard three circles theorem
Ingham lines
Dirichlet series
Poles
[MATH] Mathematics [math]
2015-06-12
1999-01-01
1999-01-01
en
journal article
https://hal.archives-ouvertes.fr/hal-01109602v1
2804-7370
https://hrj.episciences.org/139/pdf
VoR
application/pdf
Hardy-Ramanujan Journal
Volume 22 - 1999
Researchers
Students