Proof of some conjectures on the mean-value of Titchmarsh series I.
Balasubramanian, R ; Ramachandra, K
HAL, hal-01104710 / Harvested from HAL
Text on HAL
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.
Publié le : 1990-07-04
Classification:  mean-value.,  Titchmarsh series,  [MATH]Mathematics [math] 
@article{hal-01104710,
     author = {Balasubramanian, R and Ramachandra, K},
     title = {Proof of some conjectures on the mean-value of Titchmarsh series I.},
     journal = {HAL},
     volume = {1990},
     number = {0},
     year = {1990},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01104710}
}

Balasubramanian, R; Ramachandra, K. Proof of some conjectures on the mean-value of Titchmarsh series I.. HAL, Tome 1990 (1990) no. 0, . http://gdmltest.u-ga.fr/item/hal-01104710/