Results 21 to 30 of about 101 (77)

Vanishing of Quartic and Sextic Twists of $L$-functions

, 2023
Let $E$ be an elliptic curve over $\mathbf{Q}$. We conjecture asymptotic estimates for the number of vanishings of $L(E,1,\chi)$ as $\chi$ varies over all primitive Dirichlet characters of orders 4 and 6, subject to a mild hypothesis on $E$.
Young, Matthew P., Berg, Jennifer, Ryan, Nathan C.   +2 more
core  

A New Orthogonal Geomagnetic Coordinate System: The Generalized Eccentric Dipole

Journal of Geophysical Research: Space Physics, Volume 131, Issue 4, April 2026.
Abstract The study of near‐Earth plasma environment relies heavily on accurate geomagnetic coordinate systems, mainly because the plasma motion is controlled by the E×B $\boldsymbol{E}\times \boldsymbol{B}$ drift and thus is constrained by the structure of the magnetic field.
Antoine Resseguier, Pierre‐Louis Blelly, Aurélie Marchaudon   +2 more
wiley   +1 more source

The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito, Daichi Takeuchi, Takahiro Tsushima   +2 more
wiley   +1 more source

Exploring the Applicability of Chaotic Maps in Artificial Hummingbird Algorithm: From Algorithm Construction to Case Verification

Applied Computational Intelligence and Soft Computing, Volume 2026, Issue 1, 2026.
A research gap exists concerning how different chaotic mappings influence the applicability of metaheuristic algorithms, along with inherent limitations of the traditional artificial hummingbird algorithm (AHA). Specifically, blind spots in population coverage and vulnerability to local optima stemming from random initialization.
Wenli Ma, Xin Sun, Qiaoling Du, Said El Kafhali   +3 more
wiley   +1 more source

On polynomial reciprocity law

, 2003
The well-known law of quadratic reciprocity has over 150 proofs in print. We establish a relation between polynomial Jacobi symbols and resultants of polynomials over finite fields.
Hsu, Chih-Nung
core   +1 more source

The Rain Intensity Formula of Xunxian Based on Minute Precipitation Data Interpolation Extension and Its Applicability

Advances in Meteorology, Volume 2026, Issue 1, 2026.
To address the issue of difficulty in calculating the formula for rainstorm intensity due to insufficient data duration, taking Xunxian as an example, 40 years of minute‐level precipitation data from six surrounding meteorological stations were utilized. Five mathematical and physical methods were applied to explore the extended interpolation of minute‐
Guifen Shi, Yeyu Zhu, Mengxian Sun, Fengxiu Li, Roberto Coscarelli   +4 more
wiley   +1 more source

Trajectory Planning and Tracking With Multiobjective Optimization for Connected and Automated Vehicles at Expressway On‐Ramps

Journal of Advanced Transportation, Volume 2026, Issue 1, 2026.
On‐ramp merging is a common expressway maneuver for connected and automated vehicles (CAVs), where trajectory planning and tracking control are central to avoiding collisions. However, existing studies rarely optimize the selection of merge start and end points and give limited attention to constraints from acceleration‐lane length. This study proposes
Zhibo Gao, Lan Yao, Jin Li, Yanduo Yin, Jian Xiang, Kejun Long, Hongtai Yang   +6 more
wiley   +1 more source

Reduced Integration‐Based Stabilization for Virtual Elements

Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.
ABSTRACT Stabilization techniques in combination with reduced integration are often employed in numerical methods to address problems of locking while reducing computational costs. In finite elements, concepts such as enhanced assumed strain (EAS) methods are usually employed in combination with stabilization techniques to tackle certain locking ...
Njomza Pacolli, Jannick Kehls, Mahmoud Sesa, Stefanie Reese, Hagen Holthusen   +4 more
wiley   +1 more source

Kubni i bikvadratni zakoni reciprociteta [PDF]

, 2014
U ovom radu govorimo o kubnim i bikvadratnim zakonima reciprociteta. Polazimo od definicije Gaussove i Jacobi sume, te od kvadratnog zakona reciprociteta.
Boban, Ana
core  

Challenges in Automatic Differentiation and Numerical Integration in Physics‐Informed Neural Networks Modelling

International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.
ABSTRACT In this paper, we numerically examine the precision challenges that emerge in automatic differentiation and numerical integration in various tasks now tackled by physics‐informed neural networks (PINNs). Specifically, we illustrate how ill‐posed problems or inaccurately computed functions can cause serious precision issues in differentiation ...
Josef Daněk, Jan Pospíšil
wiley   +1 more source