Results 51 to 60 of about 660,577 (229)
On PNT equivalences for Beurling numbers [PDF]
, 2017 In classical prime number theory several asymptotic relations are considered to be "equivalent" to the prime number theorem. In the setting of Beurling generalized numbers, this may no longer be the case.
Debruyne, Gregory, Vindas Diaz, Jasson
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Heterogeneous Media Heat Transfer Simulations Based on 3D‐Fractional Parametric Laplace Kernel
International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This paper introduces a new Mittag–Leffler–Laplace memory kernel defined by Φ˜μ,ν,κα,ρs=∫0∞Eρ−μξκ/κξνα−1e−sξdξ, s>0, and develops a unified framework for modeling heat transfer in heterogeneous media with nonlocal temporal memory. The proposed kernel combines algebraic singularity, stretched attenuation, and fractional relaxation through independent ...
Rabha W. Ibrahim +3 more
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Tauberian-Cardy formula with spin
Journal of High Energy Physics, 2020 We prove a 2 dimensional Tauberian theorem in context of 2 dimensional conformal field theory. The asymptotic density of states with conformal weight (h, h ¯ $$ \overline{h} $$ ) → (∞, ∞) for any arbitrary spin is derived using the theorem.
Sridip Pal, Zhengdi Sun
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Some nonlinear Tauberian theorems [PDF]
Proceedings of the American Mathematical Society, 1967 In a forthcoming study of the n-body problem I have made use of the nonlinear Tauberian theorems obtained in this note. The symbol wc(x) represents a positive function, increasing for x >0. The symbols f, g, h represent functions which are of class C2 on (0, cm). The basic Theorem 1 is due to Boas [1]. THEOREM 1.
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Theoretical Economics, Volume 21, Issue 1, Page 71-98, January 2026.In the classical Bayesian persuasion model, an informed player and an uninformed one engage in a static interaction. This work extends this classical model to a dynamic setting where the state of nature evolves according to a Markovian law, allowing for a more realistic representation of real‐world situations where the state of nature evolves over time.
Ehud Lehrer, Dimitry Shaiderman
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Journal of Function Spaces and Applications, 2010 H1(R) is a Banach algebra which has better mapping properties under singular integrals than L1(R) . We show that its approximate identity sequences are unbounded by constructing one unbounded approximate identity sequence {vn}.
R. L. Johnson, C. R. Warner
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On statistical A $\mathfrak{A}$ -Cauchy and statistical A $\mathfrak{A}$ -summability via ideal
Journal of Inequalities and Applications, 2021 The notion of statistical convergence was extended to I $\mathfrak{I}$ -convergence by (Kostyrko et al. in Real Anal. Exch. 26(2):669–686, 2000). In this paper we use such technique and introduce the notion of statistically A I $\mathfrak{A}^{\mathfrak{I}
Osama H. H. Edely, M. Mursaleen
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Numerical Computation of the Rosenblatt Distribution and Applications
Stat, Volume 14, Issue 4, December 2025.ABSTRACT The Rosenblatt distribution plays a key role in the limit theorems for non‐linear functionals of stationary Gaussian processes with long‐range dependence. We derive new expressions for the characteristic function of the Rosenblatt distribution.
Nikolai N. Leonenko, Andrey Pepelyshev
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Singular Perturbation of Nonlinear Systems with Regular Singularity
Discrete Dynamics in Nature and Society, Volume 2018, Issue 1, 2018., 2018 We extend Balser‐Kostov method of studying summability properties of a singularly perturbed inhomogeneous linear system with regular singularity at origin to nonlinear systems of the form εzf′ = F(ε, z, f) with F a Cν‐valued function, holomorphic in a polydisc D-ρ×D-ρ×D-ρν.
Domingos H. U. Marchetti +2 more
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Approximation of the semi-infinite interval
International Journal of Mathematics and Mathematical Sciences, 1980 The approximation of a function f∈C[a,b] by Bernstein polynomials is well-known. It is based on the binomial distribution. O. Szasz has shown that there are analogous approximations on the interval [0,∞) based on the Poisson distribution.
A. McD. Mercer
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