Proof of some conjectures on the mean-value of titchmarsh series with applications to Titchmarsh's phenomenon
Ramachandra, K
HAL, hal-01104713 / Harvested from HAL
In the earlier paper written jointly with R. Balasubramanian, we proved certain lower bounds for mean values of Titchmarsh series. In this paper, we obtain analogous results for ``weak Titchmarsh series'', which are a kind of Dirichlet series $\sum a_n\lambda^{-s}_n$ such that $\sum_{n\leq X}\vert a_n\vert$ is suitably bounded above.
Publié le : 1990-07-04
Classification:  mean-value of Titchmarsh series,  Titchmarsh phenomenon,  [MATH]Mathematics [math]
@article{hal-01104713,
     author = {Ramachandra, K},
     title = {Proof of some conjectures on the mean-value of titchmarsh series with applications to Titchmarsh's phenomenon},
     journal = {HAL},
     volume = {1990},
     number = {0},
     year = {1990},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01104713}
}
Ramachandra, K. Proof of some conjectures on the mean-value of titchmarsh series with applications to Titchmarsh's phenomenon. HAL, Tome 1990 (1990) no. 0, . http://gdmltest.u-ga.fr/item/hal-01104713/