Results 21 to 30 of about 114,046 (177)

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 Fr chet spaces of ordinary Dirichlet series $\sum a_n n^{-s}$ due to J.~Bonet, we study topological and geometrical properties of certain scales of Fr chet spaces of general Dirichlet spaces $\sum a_n e^{- _n s}$. More precisely, fixing a frequency $ = ( _n)$, we focus on the Fr chet space of $ $-Dirichlet series ...
Andreas Defant   +3 more
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Series de Dirichlet

open access: yesRevista de Educación Matemática, 2021
En este artículo estamos interesados en la Teoría Analítica de Números. Ésta tiene diversas maneras tanto de encarar como de resolver problemas. Por ejemplo, a la teoría de números le interesa conocer el comportamiento de ciertas funciones aritméticas (funciones f: N → C), tales como: rk(n) el número de formas de escribir n como suma de k cuadrados; la
openaire   +3 more sources

On joint universality for general Dirichlet series

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

On the growth of a class of Dirichlet series absolutely convergent in half-plane

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2017
In terms of generalized orders it is investigated a relation between the growth of a Dirichlet series $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ with the abscissa of asolute convergence $A\in (-\infty,+\infty)$ and the growth of Dirichlet ...
L.V. Kulyavetc', O.M. Mulyava
doaj   +1 more source

The Growth on the Maximum Modulus of Double Dirichlet Series

open access: yesJournal of Function Spaces, 2019
The main purpose of this paper is to investigate the growth of several entire functions represented by double Dirichlet series of finite logarithmic order, h-order.
Yong-Qin Cui, Hong-Yan Xu, Na Li
doaj   +1 more source

On close-to-pseudoconvex Dirichlet series

open access: yesМатематичні Студії
For a Dirichlet series of form $F(s)=\exp\{s\lambda_1\}+\sum\nolimits_{k=2}^{+\infty}f_k\exp\{s\lambda_k\}$ absolutely convergent in the half-plane $\Pi_0=\{s\colon \mathop{\rm Re}s0$ for all $k\ge 2$.
O. M. Mulyava   +2 more
doaj   +1 more source

Local interpolation in Hilbert spaces of Dirichlet series

open access: yes, 2006
We denote by $\Hp$ the Hilbert space of ordinary Dirichlet series with square-summable coefficients. The main result is that a bounded sequence of points in the half-plane $\sigma >1/2$ is an interpolating sequence for $\Hp$ if and only if it is an ...
Olsen, Jan-Fredrik, Seip, Kristian
core   +1 more source

Dirichlet series

open access: yesIllinois Journal of Mathematics, 1960
The work on this paper was done shortly before the author's untimely death in 1957. The editor states that ``while the paper is largely expository and while the principal object of the author was not achieved, the material discussed is significant and seems worth presenting to the mathematical public in order to stimulate further research.'' Suppose ...
openaire   +3 more sources

Universal approximation theorem for Dirichlet series

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2006
The paper deals with an extension theorem by Costakis and Vlachou on simultaneous approximation for holomorphic function to the setting of Dirichlet series, which are absolutely convergent in the right half of the complex plane.
O. Demanze, A. Mouze
doaj   +1 more source

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