Results 51 to 60 of about 133,789 (107)
Bias in cubic Gauss sums: Patterson’s conjecture
, 2022 We prove, in this joint work with Maksym Radziwill, a 1978 conjecture of S. Patter-son (conditional on the Generalised Riemann hypothesis) concerning the bias of cubic Gauss sums.
Dunn, Alex
core
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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Irreducible Cyclic Codes and Gauss Sums
, 1975 In this paper we wish to point out the existence of a close connection between irreducible cyclic codes and Gauss sums over finite fields, and then to apply the well-developed theory of Gauss sums to the much less well-developed theory of irreducible ...
McEliece, R. J., R. J. McEliece
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Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature [PDF]
, 2002 23 pages, 1 figure.-- MSC1991 codes: Primary: 41A21, 42C05; Secondary: 30E10.MR#: MR1894475 (2002m:41021)Zbl#: Zbl 1020.41019We study the asymptotic properties of Stieltjes polynomials outside the support of the measure as well as the asymptotic ...
López Lagomasino, Guillermo +11 more
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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 +4 more
wiley +1 more source
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
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Gauss sums and multinomial coefficients [PDF]
, 2004 Consider a Gauss sum for a finite field of characteristic p, where p is an odd prime. When such a sum (or a product of such sums) is a p-adic integer we show how it can be realized as a p-adic limit of a sequence of multinomial coefficients.
Young, Paul Thomas
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Symmetrized Poisson Reconstruction
Computer Graphics Forum, Volume 44, Issue 5, August 2025.Abstract Many common approaches for reconstructing surfaces from point clouds leverage normal information to fit an implicit function to the points. Normals typically play two roles: the direction provides a planar approximation to the surface and the sign distinguishes inside from outside.
M. Kohlbrenner +3 more
wiley +1 more source
Influence of Form and Structural Features of Open‐Cell Hybrid Foam on the Remanent Magnetic Scanning
Advanced Engineering Materials, Volume 27, Issue 12, June 2025.Simulations using an equivalent model are performed to improve the understanding of remanent magnetic scanning of hybrid foam samples for coating thickness estimation. The model allows to study the influence of isolated geometrical features such as layer thickness, boundary effects, as well as effects due to the statistical nature of the foams, which ...
Bashar Ibrahim +4 more
wiley +1 more source