Srivastava, G.S. and Singhal, C. (2015) On the Generalized Order and the Generalized Type of Laplace-Stieltjes Transformation Convergent in the Right Half Plane. Global Journal of Pure and Applied Mathematics, 11, 469-477.

has been cited by the following article:

• TITLE: The Geometry of the Mappings by General Dirichlet Series

  AUTHORS: Dorin Ghisa

  KEYWORDS: General Dirichlet Series, Sk Strips, Intertwining Curves, Fundamental Domains, Riemann Hypothesis

  JOURNAL NAME: Advances in Pure Mathematics, Vol.7 No.1, January 23, 2017

  ABSTRACT: We dealt in a series of previous publications with some geometric aspects of the mappings by functions obtained as analytic continuations to the whole complex plane of general Dirichlet series. Pictures illustrating those aspects contain a lot of other information which has been waiting for a rigorous proof. Such a task is partially fulfilled in this paper, where we succeeded among other things, to prove a theorem about general Dirichlet series having as corollary the Speiser’s theorem. We have also proved that those functions do not possess multiple zeros of order higher than 2 and the double zeros have very particular locations. Moreover, their derivatives have only simple zeros. With these results at hand, we revisited GRH for a simplified proof.