Results 11 to 20 of about 15,056,914 (247)

Fréchet spaces of general Dirichlet series [PDF]

open access: yesRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021
Inspired by a recent article on Fréchet spaces of ordinary Dirichlet series $\sum a_n n^{-s}$ due to J.~Bonet, we study topological and geometrical properties of certain scales of Fréchet spaces of general Dirichlet spaces $\sum a_n e^{-λ_n s}$. More precisely, fixing a frequency $λ= (λ_n)$, we focus on the Fréchet space of $λ$-Dirichlet series which ...
Andreas Defant   +3 more
openaire   +7 more sources

Vector-valued general Dirichlet series [PDF]

open access: yesStudia Mathematica, 2021
Opened up by early contributions due to, among others, H. Bohr, Hardy-Riesz, Bohnenblust-Hille, Neder and Landau the last 20 years show a substantial revival of systematic research on ordinary Dirichlet series $\sum a_n n^{-s}$, and more recently even on general Dirichlet series $\sum a_n e^{-λ_n s}$.
Daniel Carando   +3 more
openaire   +4 more sources

Julia lines of general random dirichlet series [PDF]

open access: yesCzechoslovak Mathematical Journal, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin, Qiyu, Deng, Guantie, Sun, Daochun
openaire   +3 more sources

On universality of general Dirichlet series

open access: yes
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 ...
Bayart, Frédéric   +1 more
core   +5 more sources

Inequalities for Dirichlet Series with Positive Terms [PDF]

open access: yes, 2006
Some fundamental inequalities for Dirichlet series with positive terms by utilising certain classical results due to Hölder, Čebyšev, Pólya-Szegö, Grüss and others are ...
Cerone, Pietro, Dragomir, Sever S
core   +6 more sources

The generating function for the Dirichlet series 𝐿ₘ(𝑠) [PDF]

open access: yesMathematics of Computation, 2011
The Dirichlet series L m ( s )
William Y. C. Chen   +2 more
openaire   +3 more sources

Value distribution of general Dirichlet series. VIII [PDF]

open access: yes, 2006
A joint limit theorem on the complex plane for a new class of general Dirichlet series is ...
Laurincikas, A.
core   +2 more sources

Discrete limit theorem for general Dirichlet series in the space of meromorphic function

open access: yesLietuvos Matematikos Rinkinys, 2004
There is not abstract.
Renata Macaitienė
doaj   +3 more sources

Erdős-Macintyre type theorem’s for multiple Dirichlet series: exceptional sets and open problems

open access: yesМатематичні Студії, 2023
In the paper, we formulate some open problems related to the best description of the values of the exceptional sets in Wiman's inequality for entire functions and in the Erd\H{o}s-Macintyre type theorems for entire multiple Dirichlet series.
A. I. Bandura, T. M. Salo, O. B. Skaskiv
doaj   +1 more source

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

open access: yesBanach 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 $\sum a_n e^{-λ_{n}s}$, which was mainly inspired by the work of Bayart and Helson on ordinary Dirichlet series $\sum a_n n^{-s}$.
Defant, Andreas, Schoolmann, Ingo
openaire   +2 more sources

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