Results 21 to 30 of about 92,922 (135)

A discrete limit theorem on the complex plane for one class of general Dirichlet series

open access: diamondLietuvos Matematikos Rinkinys, 2005
In the paper a discrete limit theorem in the sense of weak convergence on the complex plane for general Dirichlet series with improved condition is presented.
Renata Macaitienė
doaj   +5 more sources

Multilevel Evaluation of the General Dirichlet Series

open access: diamondAdvances in the Theory of Nonlinear Analysis and its Application, 2020
In this Study, an accurate method for summing the general Dirichlet series is presented. Long range terms of this series are calculated by a multilevel approach. The Dirichlet series, in this technique, is decomposed into two parts, a local part and a smooth part.
Iyad Suwan
openalex   +4 more sources

Weighted inversion of general Dirichlet series [PDF]

open access: hybridTransactions of the American Mathematical Society, 2013
Inversion theorems of Wiener type are essential tools in analysis and number theory. We derive a weighted version of an inversion theorem of Wiener type for general Dirichlet series from that of Edwards from 1957, and we outline an alternative proof based on the duality theory of convex cones and extension techniques for characters of semigroups ...
Helge Glöckner, Lutz Lucht
openalex   +4 more sources

Hardy spaces of general Dirichlet series — a survey [PDF]

open access: bronzeBanach Center Publications, 2019
The main purpose of this article is to survey on some key elements of a recent $\mathcal{H}_p$-theory of general Dirichlet series $\sum a_n e^{- _{n}s}$, which was mainly inspired by the work of Bayart and Helson on ordinary Dirichlet series $\sum a_n n^{-s}$.
Andreas Defant, Ingo Schoolmann
openalex   +3 more sources

On universality of general Dirichlet series [PDF]

open access: green
In the present work, we establish sufficient conditions for a Dirichlet series induced by general frequencies to be universal with respect to vertical translations. Our results can be applied to known universal objects such as Hurwitz zeta functions and also can provide new examples of universal Dirichlet series including the alternating prime zeta ...
Frédéric Bayart, Athanasios Kouroupis
openalex   +3 more sources

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