Results 21 to 30 of about 8,691 (110)

Rudnick and Soundararajan's Theorem for Function Fields

, 2015
In this paper we prove a function field version of a theorem by Rudnick and Soundararajan about lower bounds for moments of quadratic Dirichlet $L$-functions.
Andrade, Julio
core   +1 more source

Multiple Time‐Scale Homogenization of Coupled Corrosion‐Fatigue in Structural Concrete

International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.
ABSTRACT Reinforced concrete structures exposed to chloride‐rich environments and cyclic mechanical loading experience simultaneous corrosion of steel reinforcement and fatigue‐induced concrete cracking, leading to complex, nonlinear degradation that cannot be accurately captured by conventional sequential analyses.
Manikandan Gopakumar, Abedulgader Baktheer, Ghandi Kenjo, Fadi Aldakheel   +3 more
wiley   +1 more source

Elucidating the Physical and Mathematical Properties of the Prouhet‐Thue‐Morse Sequence in Quantum Computing

Annalen der Physik, Volume 538, Issue 4, April 2026.
The Prouhet‐Thue‐Morse (PTM) sequence emerges as a unifying thread across quantum error correction, noise‐resistant memories, spin‐chain dynamics, quantum chaos, and Dirichlet links to the Riemann zeta function. Mapping PTM‐encoded logical states onto qubit and qudit architectures uncovers symmetry‐protected resilience and multifractal signatures ...
Denis Janković, Rémi Pasquier, Jean‐Gabriel Hartmann, Paul‐Antoine Hervieux   +3 more
wiley   +1 more source

Quantum scalar fields in the half-line. A heat kernel/zeta function approach [PDF]

, 2009
In this paper we shall study vacuum fluctuations of a single scalar field with Dirichlet boundary conditions in a finite but very long line. The spectral heat kernel, the heat partition function and the spectral zeta function are calculated in terms of ...
Guilarte, J. Mateos, Munoz-Castaneda, J. M., Senosiain, M. J.   +2 more
core   +1 more source

Application of High‐Order Direct Flux Reconstruction and Stiffness‐Resilient Time Integration to Simulations of Idealized Atmospheric Flows

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 448-468, April 2026.
The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault, Christopher Subich, Shoyon Panday, Martin Charron, Vincent Magnoux, Valentin Dallerit, Mayya Tokman   +6 more
wiley   +1 more source

Three dimensional Casimir piston for massive scalar fields

, 2008
We consider Casimir force acting on a three dimensional rectangular piston due to a massive scalar field subject to periodic, Dirichlet and Neumann boundary conditions.
Ambjørn, Barton, Barton, Blau, Bordag, Cavalcanti, Edery, Edery, Edery, Edery, Elizalde, Elizalde, Elizalde, Elizalde, Elizalde, Fulling, Graham, Hertzberg, Hertzberg, Kirsten, Kirsten, L.P. Teo, Marachevsky, Marachevsky, S.C. Lim, Serry, Serry, Stipe, Zhai   +28 more
core   +1 more source

Approximation of Dirac operators with δ‐shell potentials in the norm resolvent sense, II: Quantitative results

Mathematische Nachrichten, Volume 299, Issue 4, Page 704-763, April 2026.
Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt, Markus Holzmann, Christian Stelzer‐Landauer   +2 more
wiley   +1 more source

Representation zeta functions of wreath products with finite groups

, 2010
Let G be a group which has for all n a finite number r_n(G) of irreducible complex linear representations of dimension n. Let $\zeta(G,s) = \sum_{n=1}^{\infty} r_n(G) n^{-s}$ be its representation zeta function.
Bartholdi, Laurent, de la Harpe, Pierre
core   +2 more sources

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

Elementary Evaluation of the Zeta and Related Functions

, 2010
A simple and elementary derivation of values at integer points for the Riemann's zeta and related functions is reported.Comment: ICNAAM 2010: International Conference of Numerical Analysis and Applied Mathematics, Rhodes, Greece, 19-25 September ...
Bagdasaryan, Armen
core   +1 more source