Results 151 to 160 of about 250,497 (280)

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

Quadratic Motion Polynomials with Irregular Factorizations. [PDF]

Adv Appl Clifford Algebr
Thimm DA, Li Z, Schröcker HP, Siegele J.   +3 more
europepmc   +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

Computer-assisted construction of Ramanujan-Sato series for 1 over π. [PDF]

Ramanujan J
Hemmecke R, Paule P, Radu CS.
europepmc   +1 more source

Monitoring and control of a continuous, integrated filtration‐drying system with in‐line mass spectrometry via PharmaPy

AIChE Journal, Volume 72, Issue 6, June 2026.
Abstract This article demonstrates the integration of in‐line mass spectrometry as a process analytical technology (PAT) tool with model‐based soft sensors in a continuous filtration‐drying carousel system for solid–liquid separation (SLS) of crystal slurries.
Inyoung Hur, Daniel Casas‐Orozco, Gintaras Reklaitis, Zoltan K. Nagy   +3 more
wiley   +1 more source

Quantum Codes from Galois Hulls of Constacyclic Codes over a Finite Non-Chain Ring. [PDF]

Entropy (Basel)
Zhang E, Kong B, Zheng X.
europepmc   +1 more source

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9696-9708, June 2026.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

Inverse Analytical Formula for the Correction of Severe Barrel Lens Distortion Modelled by a Depressed Radial Distortion Polynomial. [PDF]

Sensors (Basel)
Ikokou GB, Shoko M, Tagoe ND.
europepmc   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

Mathematical Methods in the Applied Sciences, Volume 49, Issue 9, Page 9814-9831, June 2026.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq, H. W. A. Riaz, Sadique Rehman, M. Mamun Miah, Wen Xiu Ma   +4 more
wiley   +1 more source

Quadratic Subproduct Systems, Free Products, and Their C*-Algebras. [PDF]

Integr Equ Oper Theory
Arici F, Ge Y.
europepmc   +1 more source