Results 151 to 160 of about 3,995 (269)

Random Diophantine equations in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
wiley   +1 more source

Quantitative asymptotics for polynomial patterns in the primes

Mathematika, Volume 72, Issue 3, July 2026.
Abstract We prove quantitative estimates for averages of the von Mangoldt and Möbius functions along polynomial progressions n+P1(m),…,n+Pk(m)$n+P_1(m),\ldots, n+P_k(m)$ for a large class of polynomials Pi$P_i$. The error terms obtained save an arbitrary power of logarithm, matching the classical Siegel–Walfisz error term.
Lilian Matthiesen, Joni Teräväinen, Mengdi Wang   +2 more
wiley   +1 more source

Application of randomized quadrature formulas to the finite element method for elliptic equations. [PDF]

BIT Numer Math
Kruse R, Polydorides N, Wu Y.
europepmc   +1 more source

High‐Index, Low‐Loss Optical Material Platforms for Ultra‐Broadband Ultraviolet‐to‐Visible Achromatic Metalenses

Advanced Functional Materials, Volume 36, Issue 49, 18 June 2026.
An integrated material platform combining engineered SiNx thin films and printable ZrO2 nanoparticle‐embedded resin enables broadband achromatic metalenses from the ultraviolet to visible range. The demonstrated meta‐optics achieve near‐diffraction‐limited focusing with minimal chromatic aberration.
Hyunjung Kang, Dongmin Jeon, Eunji Lee, Junsuk Rho   +3 more
wiley   +1 more source

Exponential stabilization and finite time blow-up in a fractional thermal piezoelectric beam with delay. [PDF]

Sci Rep
Ullah Z, Hao J, Thabet STM, Moulahi T.
europepmc   +1 more source

Linear and Nonlinear Perturbed Wave Equations

, 2008
We consider several Cauchy problems for the wave equation with some perturbation. First of all, we consider the wave equation with a metric perturbation, that is, we consider the d'Alembert operator in the Schwarzschild metric (which is a model for a ...
CATANIA, DAVIDE
core  

On the Meaning of Localization in Non‐Local Quantum Field Theory

Annalen der Physik, Volume 538, Issue 6, June 2026.
In non‐local quantum field theory nature does not necessarily allow objects or events to be localized to exact mathematical points. Instead any physical measurement has a built‐in finite resolution set by the non‐locality scale. Spacetime remains continuous and Lorentz‐covariant, but below this scale pointlike localization becomes an idealization ...
E. J. Thompson
wiley   +1 more source

Linear Stability of the Slowly-Rotating Kerr-de Sitter Family. [PDF]

Ann PDE
Fang AJ.
europepmc   +1 more source

Cauchy’s Functional Equation [PDF]

, 2001
openaire   +1 more source

Advanced control of non‐isothermal axial dispersion tubular reactors with recycle‐induced state delay

The Canadian Journal of Chemical Engineering, Volume 104, Issue 6, Page 3018-3037, June 2026.
Abstract We develop a delay‐aware estimation and control framework for a non‐isothermal axial dispersion tubular reactor modelled as a coupled parabolic‐hyperbolic PDE system with recycle‐induced state delay. The infinite‐dimensional dynamics are preserved without spatial discretization by representing the delay as a transport PDE and adopting a late ...
Behrad Moadeli, Stevan Dubljevic
wiley   +1 more source