Proof of some conjectures on the mean-value of titchmarsh series with applications to Titchmarsh's phenomenon
Authors: K Ramachandra 1
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K Ramachandra
1 Tata Institute for Fundamental Research
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.