Hardy-Ramanujan Journal |
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 ∫H0|F(it)|kdt, where k=1 or 2. In this paper, better results and a proof of the conjecture are obtained.