episciences.org_145_1653168062
1653168062
episciences.org
raphael.tournoy+crossrefapi@ccsd.cnrs.fr
episciences.org
HardyRamanujan Journal
28047370
10.46298/journals/hrj
https://hrj.episciences.org
01
01
2002
Volume 25  2002
Some problems of Analytic number theory IV
R
Balasubramanian
K
Ramachandra
In the present paper, we use Ramachandra's kernel function of the second order, namely ${\rm Exp} ((\sin z)^2)$, which has some advantages over the earlier kernel ${\rm Exp} (z^{4a+2})$ where $a$ is a positive integer. As an outcome of the new kernel we are able to handle $\Omega$theorems for error terms in the asymptotic formula for the summatory function of the coefficients of generating functions of the ${\rm Exp}(\zeta(s)), {\rm Exp\,Exp}(\zeta(s))$ and also of the type ${\rm Exp\,Exp}((\zeta(s))^{\frac{1}{2}})$.
01
01
2002
145
https://hal.archivesouvertes.fr/hal01109802v1
10.46298/hrj.2002.145
https://hrj.episciences.org/145

https://hrj.episciences.org/145/pdf