Results 41 to 50 of about 126,703,443 (108)
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 +2 more
wiley +1 more source
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 +3 more
wiley +1 more source
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 +4 more
wiley +1 more source
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 +6 more
wiley +1 more source
Explicit multiplicative relations between Gauss sums [PDF]
, 2007 H. Hasse conjectured that all multiplicative relations between Gauss sums essentially follow from the Davenport–Hasse product formula and the norm relation for Gauss sums.
Murray, Brian J., Brian J. Murray
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Radial Basis Function Collocation With L‐BFGS Optimization for Higher Order Initial Value Problems
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This paper describes a radial basis function collocation method that uses limited‐memory Broyden–Fletcher–Goldfarb–Shanno optimization to solve one‐dimensional ordinary differential initial value problems. Numerical tests include first‐order problems and manufactured fourth‐, sixth‐, and eighth‐order problems.
Nolf Shaker Al-Shimari +1 more
wiley +1 more source
Explicit multiplicative relations between Gauss sums [PDF]
, 2002 H.Hasse conjectured that all multiplicative relations between Gauss sums essentially follow from the Davenport-Hasse product formula and the norm relation for Gauss sums.
Murray, Brian J.
core +1 more source
On the Dynamics and Stability of a Pendulum With Lateral Springs
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study characterizes the conservative dynamics of a simple pendulum interacting laterally with a pair of ideal springs—a configuration in which gravitational and elastic restoring forces manifest through nonlinear trigonometric geometry. Grounding the analysis in the Euler–Lagrange formalism, we formulate the exact equations of motion and the ...
Alvaro H. Salas +3 more
wiley +1 more source
, 2016 In 2005 Blache studied certain generalized Gauss sums and established an analogue for them of Stickelberger\u27s congruence for classical Gauss sums over finite fields. We improve on Blache\u27s work in two ways: (i) simplify Blache\u27s proof and give a
Xhumari, Sandi
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Random process generated by the incomplete Gauss sums [PDF]
, 2015 In this paper we explore a random process generated by the incomplete Gauss sums and establish an analogue ofweak invariance principle forthese sums. We focusour attentionexclusively on ageneralizationofthe limit distribution of the long incomplete Gauss
Demirci, Emek Akarsu
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