Results 11 to 20 of about 8,691 (110)

Spectral Zeta Functions for a Cylinder and a Circle

, 2002
Spectral zeta functions $\zeta(s)$ for the massless scalar fields obeying the Dirichlet and Neumann boundary conditions on a surface of an infinite cylinder are constructed. These functions are defined explicitly in a finite domain of the complex plane s
Nesterenko, V. V., Pirozhenko, I. G.
core   +1 more source

A perturbative approach to the spectral zeta functions of strings, drums and quantum billiards

, 2012
We have obtained an explicit expression for the spectral zeta functions and for the heat kernel of strings, drums and quantum billiards working to third order in perturbation theory, using a generalization of the binomial theorem to operators.
Arendt W., Avellaneda M., Bender C. M., Elizalde E., Kirsten K., Paolo Amore   +5 more
core   +1 more source

Bagchi's Theorem for families of automorphic forms

, 2017
We prove a version of Bagchi's Theorem and of Voronin's Universality Theorem for family of primitive cusp forms of weight $2$ and prime level, and discuss under which conditions the argument will apply to general reasonable family of automorphic $L ...
A. Laurinčikas, B. Conrey, D. Li, E. Kowalski, E. Kowalski, E. Kowalski, E.C. Titchmarsh, J. Cogdell, J.-P. Serre, J.B. Conrey, P. Billingsley, P. Sarnak   +11 more
core   +1 more source

Multiple finite Riemann zeta functions

, 2004
Observing a multiple version of the divisor function we introduce a new zeta function which we call a multiple finite Riemann zeta function. We utilize some $q$-series identity for proving the zeta function has an Euler product and then, describe the ...
Kimoto, K., Kurokawa, N., Matsumoto, S., Wakayama, M.   +3 more
core   +1 more source

Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin, Nina Beranek, Gajendra Babu Budihala, Matthias Mettenleiter, Goksu Oruc, Karsten Urban   +5 more
wiley   +1 more source

Bayesian Inference for Joint Estimation Models Using Copulas to Handle Endogenous Regressors

Oxford Bulletin of Economics and Statistics, Volume 88, Issue 3, Page 519-534, June 2026.
ABSTRACT This study proposes a Bayesian approach for finite‐sample inference of the Gaussian copula endogeneity correction. Extant studies use frequentist inference, build on a priori computed estimates of marginal distributions of explanatory variables, and use bootstrapping to obtain standard errors. The proposed Bayesian approach facilitates precise
Rouven E. Haschka
wiley   +1 more source

Impact of Uncertain Parameters on Navier–Stokes Equations With Heat Transfer via Polynomial Chaos Expansion

International Journal for Numerical Methods in Fluids, Volume 98, Issue 5, Page 557-577, May 2026.
This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime, B. Després, M. A. Puscas, C. Fiorini   +3 more
wiley   +1 more source

Random polynomials, random matrices, and $L$-functions

, 2006
We show that the Circular Orthogonal Ensemble of random matrices arises naturally from a family of random polynomials. This sheds light on the appearance of random matrix statistics in the zeros of the Riemann zeta-function.Comment: Added background ...
David W Farmer, Dunnage J E A, Farahmand K, Farmer D W Koutsoliotas S, Farmer D W Lemurell S, Francesco Mezzadri, Hejhal D A, Iwaniec H, Iwaniec H, Katz N M, Keating J P, Mehta M L, Montgomery H L, Nina C Snaith, Odlyzko A M, Petersen K Sinclair C, Rubinstein M, Sinclair C, Sommers H J, Weyl H   +19 more
core   +1 more source

How Does Heterogeneity Control Strain Localization Patterns in High‐Porosity Rocks?

Journal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.
Abstract We aim to explore how heterogeneous porosity and grain size contribute to strain localization patterns in highly porous rocks based on phase‐field simulations. The strain localization patterns, including shear bands, dilatation bands, and compaction bands, are commonly observed in geological field studies and laboratory experiments.
Yunteng Wang, Chi Zhang, Philipp Braun, Xuan Kang, Wei Wu   +4 more
wiley   +1 more source

Global weak solutions for the compressible Poisson–Nernst–Planck–Navier–Stokes system

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract We consider the compressible Poisson–Nernst–Planck–Navier–Stokes (PNPNS) system of equations, governing the transport of charged particles under the influence of the self‐consistent electrostatic potential, in a three‐dimensional bounded domain.
Daniel Marroquin, Dehua Wang
wiley   +1 more source