Results 61 to 70 of about 71,062 (275)

A weighted version of the Mishou theorem

Mathematical Modelling and Analysis, 2021
In 2007, H. Mishou obtained a joint universality theorem for the Riemann and Hurwitz zeta-functions ζ(s) and ζ(s,α) with transcendental parameter α on the approximation of a pair of analytic functions by shifts (ζ(s+iτ),ζ(s+iτ,α)), τ ∈R.
Antanas Laurinčikas, Darius Šiaučiūnas, Gediminas Vadeikis   +2 more
doaj   +1 more source

On the Density–Density Correlations of the Non‐Interacting Finite Temperature Electron Gas

Contributions to Plasma Physics, EarlyView.
ABSTRACT The density–density correlations of the non‐interacting finite temperature electron gas are discussed in detail. Starting from the ideal linear density response function and utilizing general relations from linear response theory, known and novel expressions are derived for the pair correlation function, static structure factor, dynamic ...
Panagiotis Tolias, Tobias Dornheim, Jan Vorberger   +2 more
wiley   +1 more source

Subordination Properties of Meromorphic Kummer Function Correlated with Hurwitz–Lerch Zeta-Function

Mathematics, 2021
Recently, Special Function Theory (SPFT) and Operator Theory (OPT) have acquired a lot of concern due to their considerable applications in disciplines of pure and applied mathematics.
Firas Ghanim, Khalifa Al-Shaqsi, Maslina Darus, Hiba Fawzi Al-Janaby   +3 more
doaj   +1 more source

Maxima of a randomized Riemann zeta function, and branching random walks [PDF]

, 2015
A recent conjecture of Fyodorov--Hiary--Keating states that the maximum of the absolute value of the Riemann zeta function on a typical bounded interval of the critical line is $\exp\{\log \log T -\frac{3}{4}\log \log \log T+O(1)\}$, for an interval at ...
L. Arguin, David Belius, Adam J. Harper
semanticscholar   +1 more source

Linear Discontinuity Sharpening for Highly Resolved and Robust Magnetohydrodynamics Simulations

International Journal for Numerical Methods in Fluids, EarlyView.
This study applies a reconstruction scheme, “hybrid MUSCL–THINC” for finite volume methods developed by Chiu et al., to magnetohydrodynamics (MHD) simulations. Furthermore, the robustness is improved by a modification that deactivates an artificial compression by THINC depending on the non‐linearity of MHD discontinuities.
Tomohiro Mamashita, Gaku Fukushima, Keiichi Kitamura   +2 more
wiley   +1 more source

Approximation of Analytic Functions by Shifts of Certain Compositions

Mathematics, 2021
In the paper, we obtain universality theorems for compositions of some classes of operators in multidimensional space of analytic functions with a collection of periodic zeta-functions.
Darius Šiaučiūnas, Raivydas Šimėnas, Monika Tekorė   +2 more
doaj   +1 more source

Large oscillations of the argument of the Riemann zeta‐function [PDF]

Bulletin of the London Mathematical Society, 2019
Let S(t) denote the argument of the Riemann zeta‐function, defined as S(t)=1πImlogζ(1/2+it).Assuming the Riemann hypothesis, we prove that S(t)=Ω±logtlogloglogtloglogt.This improves the classical Ω ‐results of Montgomery (Theorem 2; Comment. Math.
Andrés Chirre, Kamalakshya Mahatab
semanticscholar   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Modeling General Asymptotic Calabi–Yau Periods

Fortschritte der Physik, EarlyView.
Abstract In the quest to uncovering the fundamental structures that underlie some of the asymptotic Swampland conjectures the authors initiate the general study of asymptotic period vectors of Calabi–Yau manifolds. The strategy is to exploit the constraints imposed by completeness, symmetry, and positivity, which are formalized in asymptotic Hodge ...
Brice Bastian, Thomas W. Grimm, Damian van de Heisteeg   +2 more
wiley   +1 more source

Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function

Mathematical Modelling and Analysis
In 2017, Garunkštis, Laurinčikas and Macaitienė proved the discrete universality theorem for the Riemann zeta-function shifted by imaginary parts of nontrivial zeros of the Riemann zeta-function.
Keita Nakai
doaj   +1 more source