Results 11 to 20 of about 4,047,455 (275)

Convergence and almost sure properties in Hardy spaces of Dirichlet series [PDF]

open access: yesMathematische Annalen, 2021
Given a frequency λ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document ...
F. Bayart
semanticscholar   +1 more source

Counting functions for Dirichlet series and compactness of composition operators [PDF]

open access: yesBulletin of the London Mathematical Society, 2021
We give a sufficient condition for a composition operator with positive characteristic to be compact on the Hardy space of Dirichlet series.
F. Bayart
semanticscholar   +1 more source

Dirichlet series expansions of p-adic L-functions [PDF]

open access: yesAbhandlungen aus dem Mathematischen Seminar der Universitat Hamburg, 2021
We study p-adic L-functions Lp(s,χ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
Heiko Knospe, L. Washington
semanticscholar   +1 more source

STABILITY-PRESERVING PERTURBATION OF THE MAXIMAL TERMS OF DIRICHLET SERIES

open access: yesПроблемы анализа, 2022
We study stability of the maximal term of the Dirichlet series with positive exponents, the sum of which is an entire function. This problem is of interest, because the Leont’ev formulas for coefficients calculated using a biorthogonal system of ...
A. M. Gaisin, N. N. Aitkuzhina
doaj   +1 more source

A class of identities associated with Dirichlet series satisfying Hecke’s functional equation [PDF]

open access: yesProceedings of the American Mathematical Society, 2021
We consider two sequences a ( n ) a(n) and b ( n ) b(n) , 1 ≤ n > ∞ 1\leq n>\infty , generated by ...
B. Berndt   +3 more
semanticscholar   +1 more source

On an entire function represented by multiple Dirichlet series [PDF]

open access: yesMathematica Bohemica, 2021
Consider the space $L$ of entire functions represented by multiple Dirichlet series that becomes a non uniformly convex Banach space which is also proved to be dense, countable and separable.
Lakshika Chutani
doaj   +1 more source

A mean counting function for Dirichlet series and compact composition operators [PDF]

open access: yesAdvances in Mathematics, 2020
We introduce a mean counting function for Dirichlet series, which plays the same role in the function theory of Hardy spaces of Dirichlet series as the Nevanlinna counting function does in the classical theory. The existence of the mean counting function
Ole Fredrik Brevig, Karl-Mikael Perfekt
semanticscholar   +1 more source

Dirichlet series and series with Stirling numbers

open access: yesCubo, 2023
This paper presents a number of identities for Dirichlet series and series with Stirling numbers of the first kind. As coefficients for the Dirichlet series we use Cauchy numbers of the first and second kinds, hyperharmonic numbers, derangement numbers ...
Khristo Boyadzhiev
doaj   +1 more source

Coefficient multipliers on spaces of vector-valued entire Dirichlet series [PDF]

open access: yesMathematica Bohemica, 2017
The spaces of entire functions represented by Dirichlet series have been studied by Hussein and Kamthan and others. In the present paper we consider the space $X$ of all entire functions defined by vector-valued Dirichlet series and study the properties ...
Sharma Akanksha, Girja S. Srivastava
doaj   +1 more source

A Study of the Growth Results for the Hadamard Product of Several Dirichlet Series with Different Growth Indices

open access: yesMathematics, 2022
In this paper, our first purpose is to describe a class of phenomena involving the growth in the Hadamard–Kong product of several Dirichlet series with different growth indices.
Hongyan Xu   +5 more
doaj   +1 more source

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