R Balasubramanian ; K Ramachandra - Some problems of Analytic number theory IV

hrj:145 - Hardy-Ramanujan Journal, January 1, 2002, Volume 25 - 2002 - https://doi.org/10.46298/hrj.2002.145
Some problems of Analytic number theory IVArticle

Authors: R Balasubramanian 1; K Ramachandra 2

In the present paper, we use Ramachandra's kernel function of the second order, namely Exp((sinz)2), which has some advantages over the earlier kernel Exp(z4a+2) where a is a positive integer. As an outcome of the new kernel we are able to handle Ω-theorems for error terms in the asymptotic formula for the summatory function of the coefficients of generating functions of the Exp(ζ(s)),ExpExp(ζ(s)) and also of the type ExpExp((ζ(s))12).


Volume: Volume 25 - 2002
Published on: January 1, 2002
Imported on: March 3, 2015
Keywords: asymptotic formula for the summatory function of the coefficients of generating functions,Ω-theorems,kernel function,[MATH]Mathematics [math]

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