Results 41 to 50 of about 132,032,535 (102)

Generalized p-adic Gauss Sums

open access: yes, 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
core   +1 more source

Random process generated by the incomplete Gauss sums [PDF]

open access: yes, 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
core  

Gauss Sums of Orders Six and Twelve

open access: yes, 2001
Precise, elegant evaluations are given for Gauss sums of orders six and twelve.
Ronald Evans
core   +1 more source

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

open access: yesAdvances 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

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

open access: yesJournal 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

Radial Basis Function Collocation With L‐BFGS Optimization for Higher Order Initial Value Problems

open access: yesJournal 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

A Hybrid Power Mean Involving the Dedekind Sums and Cubic Gauss Sums

open access: yes, 2021
The main purpose of this paper is using analytic methods and the properties of the Dedekind sums to study one kind hybrid power mean calculating problem involving the Dedekind sums and cubic Gauss sum and give some interesting calculating formulae for ...
Yu Zhan, Jiayuan Hu, Qin Si
core   +1 more source

A Semirefining Extrapolation Multigrid Method With Fourth‐Order Compact Schemes for 2D Nonlinear Elliptic Equations

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
A novel semirefining extrapolation nonlinear multigrid (SENMG) method is proposed for computing high‐accuracy numerical solutions of two‐dimensional (2D) nonlinear elliptic equations discretized by fourth‐order compact finite difference schemes.
Ming Li   +3 more
wiley   +1 more source

The surface of Gauss double points

open access: yes, 2021
We study the surface of Gauss double points associated to a very general quartic surface and the natural morphisms associated to ...
Corvaja P.   +5 more
core   +1 more source

The Recursive Properties of the Error Term of the Fourth Power Mean of the Generalized Cubic Gauss Sums

open access: yes, 2021
In this paper, we use the analytic methods and the properties of the classical Gauss sums to study the properties of the error term of the fourth power mean of the generalized cubic Gauss sums and give two recurrence formulae for ...
Zhang Jiafan, Zhang Jin
core   +1 more source

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