Results 31 to 40 of about 103 (87)
Simple Barban–Davenport–Halberstam type asymptotics for general sequences
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We prove two estimates for the Barban–Davenport–Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates are capable of yielding an asymptotic for the variance when the sequence is sufficiently nice, and is either somewhat sparse or is sufficiently like the integers in its ...
Adam J. Harper
wiley +1 more source
Regularity and asymptotics of densities of inverse subordinators
Transactions of the London Mathematical Society, Volume 11, Issue 1, December 2024.Abstract In this article, densities (and their derivatives) of subordinators and inverse subordinators are considered. Under minor restrictions, generally milder than the existing in the literature, employing a useful modification of the saddle point method, we obtain the large asymptotic behaviour of these densities (and their derivatives) for a ...
Giacomo Ascione +2 more
wiley +1 more source
GENERAL CONTROL MODULO AND TAUBERIAN REMAINDER THEOREMS FOR (C, 1) SUMMABILITY
Mathematical Modelling and Analysis, 2013 We prove for the (C, 1) summability method several Tauberian remainder theorems using the general control modulo of the oscillatory behavior.
Meronen, Olga, Tammeraid, Ivar
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On Ikehara type Tauberian theorems with $O(x^γ)$ remainders [PDF]
, 2016 Motivated by analytic number theory, we explore remainder versions of Ikehara's Tauberian theorem yielding power law remainder terms. More precisely, for $f:[1,\infty)\rightarrow{\mathbb R}$ non-negative and non-decreasing we prove $f(x)-x=O(x^γ)$ with $γ<1$ under certain assumptions on $f$.
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On Transient Queue-Size Distribution in a Model of WSN Node with Threshold-Type Power-Saving Algorithm. [PDF]
Sensors (Basel), 2022 Kempa WM, Kurzyk D.
europepmc +1 more source
Géza Freud's work on Tauberian remainder theorems
Journal of Approximation Theory, 1986 This illuminating survey paper, dedicated to the memory of Géza Freud, states the Tauberian theorems of Tauber, Hardy and Littlewood; next Freud's Tauberian remainder theorem, and, as an essential tool for the proof, Freud's approximation theorem are given. Finally, more general Tauberian remainder theorems, due to the author, are discussed.
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Unbounded linear operators in seminormed spaces
, 1989 Bibliography: pages 101-104.Linear operator theory is usually studied in the setting of normed or Banach spaces. However, careful examination of proofs shows that in many cases the Hausdorff property of normed spaces is not used.
Gouveia, A I
core
Théorie de l'information, séries de Dirichlet, et analyse d'algorithmes
, 2011 In information theory, the study of a source and its main associated data structures is based on its Dirichlet series; it is essential to study its discipline, namely, to find a region to the left of its dominant singularity where it is analytic and of ...
Roux, Mathieu
core
On Ikehara type Tauberian theorems with $$O(x^\gamma )$$ O ( x γ ) remainders
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2017 Motivated by analytic number theory, we explore remainder versions of Ikehara's Tauberian theorem yielding power law remainder terms. More precisely, for $f:[1,\infty)\rightarrow{\mathbb R}$ non-negative and non-decreasing we prove $f(x)-x=O(x^\gamma)$ with ...
openaire +3 more sources
Spherically Restricted Random Hyperbolic Diffusion. [PDF]
Entropy (Basel), 2020 Broadbridge P +4 more
europepmc +1 more source