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math.CV2012
Construction of an Ordinary Dirichlet Series with Convergence beyond the Bohr Strip
Brian N. Maurizi
An ordinary Dirichlet series has three abscissae of interest, describing the maximal regions where the Dirichlet series converges, converges uniformly, and con- verges absolutely.…
math.CV2010
Extending Landau's Theorem on Dirichlet Series with Non-Negative Coefficients
Brian Maurizi
A classical theorem of Landau states that, if an ordinary Dirichlet series has non-negative coefficients, then it has a singularity on the real line at its abscissae of absolute co…
math.CV2008
Some Remarks on the Algebra of Bounded Dirichlet Series
Brian Maurizi, Herve Queffelec
We examine the algebra of all Dirichlet Series bounded on the right half plane. We consider the analogue of the Corona theorem in this setting, and show that it is false, i.e. the…