Results 21 to 30 of about 114,046 (177)
Fréchet spaces of general Dirichlet series [PDF]
Revista 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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Revista 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
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Multiple Lucas–Dirichlet Series Associated With Additive and Dirichlet Characters [PDF]
Mediterranean Journal of Mathematics, 2021 20 ...
N. K. Meher, S. S. Rout
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On joint universality for general Dirichlet series
Lietuvos Matematikos Rinkinys, 2004 There is not abstract.
Jonas Genys
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On the growth of a class of Dirichlet series absolutely convergent in half-plane
Karpatsʹkì 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
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The Growth on the Maximum Modulus of Double Dirichlet Series
Journal 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
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On close-to-pseudoconvex Dirichlet series
Математичні СтудіїFor 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
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Local interpolation in Hilbert spaces of Dirichlet series
, 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
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Illinois 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 ...
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Universal approximation theorem for Dirichlet series
International 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
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