R Balasubramanian ; K Ramachandra - On the zeros of a class of generalised Dirichlet series-IX

hrj:123 - Hardy-Ramanujan Journal, January 1, 1991, Volume 14 - 1991 - https://doi.org/10.46298/hrj.1991.123
On the zeros of a class of generalised Dirichlet series-IXArticle

Authors: R Balasubramanian 1; K Ramachandra 1

In the present paper, the assumptions on the function $F(s)$ are more restrictive but the conclusions about the zeros are stronger in two respects: the lower bound for $\sigma$ can be taken closer to $\frac{1}{2}-C(\log\log T)(\log T)^{-1}$ and the lower bound for the number of zeros is like $T/\log\log\log T$.

https://doi.org/10.46298/hrj.1991.123
Source: HAL:hal-01104799v1
Volume: Volume 14 - 1991
Published on: January 1, 1991
Imported on: March 3, 2015
Keywords: generalised Dirichlet series,L-functions,Riemann zeta-function,[MATH]Mathematics [math]

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