Results 61 to 70 of about 121,182 (204)
Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Context‐free graphs and their transition groups
Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli +3 more
wiley +1 more source
Integration In Abelian $C^*$-Dynamical Systems
Let \({\mathcal A}=C_ 0(x)\) be an abelian \(C^*\)-algebra, and let \(\delta_ 0\) be the generator of a strongly continuous group of *- automorphisms on \({\mathcal A}\). Derivations of the form \(\delta =\lambda \delta_ 0\) are considered, where \(\lambda\) is a multiplication operator on \(C_ 0(x)\).
Bratteli, Ola +3 more
openaire +3 more sources
Pseudo-Abelian integrals along Darboux cycles: A codimension one case [PDF]
We investigate a polynomial perturbation of an integrable, non-Hamiltonian system with first integral of Darboux type. In the paper [M. Bobieński, P. Mardešić, Pseudo-Abelian integrals along Darboux cycles, Proc. Lond. Math.
Bobieński, Marcin
core +1 more source
Geometry of soft scalars at one loop
We extend the soft theorems for scattering amplitudes of scalar effective field theories to one-loop order. Our analysis requires carefully accounting for the fact that the soft limit is not guaranteed to commute with evaluating IR-divergent loop ...
Timothy Cohen +3 more
doaj +1 more source
Abelian number fields with frobenian conditions
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
A General Ostrowski Type Inequality for Double Integrals [PDF]
Some generalisations of an Ostrowski Type Inequality in two dimensions for n-time differentiable mappings are given. The result is an Integral Inequality with bounded n-time derivatives.
Hanna, George T +2 more
core +4 more sources
Non‐Hermitian Stealthy Hyperuniformity
A framework for non‐Hermitian extensions of hyperuniformity and stealthiness is proposed, generalizing PT‐symmetric gain‐loss crystals to correlated disorder in the weak‐scattering limit. By engineering real‐imaginary correlations of the material potential, this framework enables directional scattering phases inaccessible in Hermitian materials ...
Gitae Lee +8 more
wiley +1 more source
Constructions of complex hadamard matrices via tiling abelian groups [PDF]
Applications in quantum information theory and quantum tomography have raised current interest in complex Hadamard matrices. In this note we investigate the connection between tiling of Abelian groups and constructions of complex Hadamard matrices ...
Matolcsi, Máté +2 more
core +1 more source
The continuity of the gauge fixing condition n⋅∂n⋅A=0
To investigate the continuity of the gauge condition n⋅∂n⋅A=0, the continuity of generators of Wilson lines is studied here in the frame of non-Abelian gauge theory in the space R⨂S1⨂S1⨂S1, which guarantees the continuity of the gauge condition n⋅∂n⋅A=0 ...
Gao-Liang Zhou, Zheng-Xin Yan, Xin Zhang
doaj +1 more source

