10.46298/hrj.1990.118
https://hrj.episciences.org/118
Balasubramanian, R
R
Balasubramanian
Ramachandra, K
K
Ramachandra
Proof of some conjectures on the mean-value of Titchmarsh series I.
Let $F(s)$ be a Titchmarsh series, i.e. a kind of Dirichlet series, the coefficients of which are suitably bounded. This notion was introduced by us in an earlier paper where we stated a conjecture and proved certain theorems on the lower bound for $\int_0^H \vert F(it)\vert^k\,dt$, where $k=1$ or $2$. In this paper, better results and a proof of the conjecture are obtained.
episciences.org
mean-value.
Titchmarsh series
[MATH] Mathematics [math]
2015-06-12
1990-01-01
1990-01-01
en
journal article
https://hal.archives-ouvertes.fr/hal-01104710v1
2804-7370
https://hrj.episciences.org/118/pdf
VoR
application/pdf
Hardy-Ramanujan Journal
Volume 13 - 1990
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