Results 31 to 40 of about 85 (69)
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
On a Tauberian theorem with the remainder term and its application to the Weyl law
Journal of Mathematical Analysis and Applications, 2013 Abstract The purpose of this paper is twofold. First, we prove a generalization of the classical Tauberian theorem for the Laplace transform obtained by A. M. Subhankulov which gives an optimal bound for the remainder term. Second, we apply the Subhankulov theorem to a suitably transformed trace formula in the setting of symmetric spaces of real rank
Lejla Smajlović, Lamija Šćeta
openaire +1 more source
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 $f$.
openaire +1 more source
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
ON THE COMPARISON OF TAUBERIAN REMAINDER THEOREMS
Proceedings of the Estonian Academy of Sciences. Physics. Mathematics, 1996 openaire +2 more sources
On Tauberian Remainder Theorems For Ces\`{a}ro Summability method of noninteger order [PDF]
Miskolc Mathematical Notes, 2015 Totur, Ümit, Okur, Muhammet Ali
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A Tauberian Remainder Theorem with Applications to Lambert Summability.
MATHEMATICA SCANDINAVICA, 1974 openaire +3 more sources