10.46298/hrj.2002.145
https://hrj.episciences.org/145
Balasubramanian, R
R
Balasubramanian
Ramachandra, K
K
Ramachandra
Some problems of Analytic number theory IV
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 ${\rm Exp\,Exp}((\zeta(s))^{\frac{1}{2}})$.
episciences.org
asymptotic formula for the summatory function of the coefficients of generating functions
$\Omega$-theorems
kernel function
[MATH] Mathematics [math]
2015-06-12
2002-01-01
2002-01-01
en
journal article
https://hal.archives-ouvertes.fr/hal-01109802v1
2804-7370
https://hrj.episciences.org/145/pdf
VoR
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Hardy-Ramanujan Journal
Volume 25 - 2002
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