Results 51 to 60 of about 16,850 (158)

On the Euler characteristic of S$S$‐arithmetic groups

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley   +1 more source

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

open access: yesJournal 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

Hypergeometric motives from Euler integral representations

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 2, February 2026.
Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
wiley   +1 more source

Toward quantized Picard-Vessiot theory, Further observations on our previous example [PDF]

open access: yes, 2013
It is quite natural to wonder whether there is a difference-differential equations, the Galois group of which is a quantum group that is neither commutative nor co-commutative.
Saito, Katsunori, Umemura, Hiroshi
core  

FPGA Realization of a Novel Hyperchaos Augmented Image Encryption Algorithm

open access: yesIET Computers &Digital Techniques, Volume 2026, Issue 1, 2026.
With the rapid growth of multimedia communication, protecting image data has become increasingly critical. This article proposes a novel 3‐stage hyperchaos‐based augmented image encryption technique (3SHAIET) that utilizes a three‐stage process with chaotic systems of increasing dimensionality (e.g., six‐dimensional [6D], 8D, and 9D) to enhance ...
Wassim Alexan   +6 more
wiley   +1 more source

Secure Deployment of Smart Meters

open access: yesIET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.
A secure initialization process for smart meters is designed based on a systematic cybersecurity risk analysis of the deployment phase. Three initialization variants are defined and compared with respect to security, operational feasibility, and trust distribution.
David Kohout   +4 more
wiley   +1 more source

Galois Theory of Parameterized Differential Equations and Linear Differential Algebraic Groups

open access: yes, 2005
We present a Galois theory of parameterized linear differential equations where the Galois groups are linear differential algebraic groups, that is, groups of matrices whose entries are functions of the parameters and satisfy a set of differential ...
Cassidy, Phyllis J., Singer, Michael F.
core   +2 more sources

Intergenerational Communication in the Workplace Among Teaching Staff at Universities

open access: yesHigher Education Quarterly, Volume 80, Issue 1, January 2026.
ABSTRACT In organisations characterised by generational diversity, information and knowledge exchange present both challenges and opportunities. Managing intergenerational relationships among teaching staff at higher education institutions necessitates, among other efforts, a critical review of communication processes.
Trinidad Mentado‐Labao   +3 more
wiley   +1 more source

The inverse problem of differential Galois theory over the field R(z)

open access: yes, 2007
We describe a Picard-Vessiot theory for differential fields with non algebraically closed fields of constants. As a technique for constructing and classifying Picard-Vessiot extensions, we develop a Galois descent theory.
Dyckerhoff, Tobias
core   +1 more source

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