Publications related to Cubic field

NORM TORI OF ETALE ALGEBRAS AND UNRAMIFIED BRAUER GROUPS

Let k be a field, and let L be an etale k-algebra of finite rank. If a is an element of k(x), let X-a be the affine variety defined by N-L/k(x) = a. Assuming that L has at least one factor that is a cyclic field extension of k, we give a combinatorial desc ...

Jerusalem2023

Lattice packings through division algebras

Nihar Prakash Gargava

In this text, we will show the existence of lattice packings in a family of dimensions by employing division algebras. This construction is a generalization of Venkatesh's lattice packing result Venkatesh (Int Math Res Notices 2013(7): 1628-1642, 2013). In ...

SPRINGER HEIDELBERG2023

Fourier non-uniqueness sets from totally real number fields

Martin Peter Stoller

Let K be a totally real number field of degree n >= 2. The inverse different of K gives rise to a lattice in Rn. We prove that the space of Schwartz Fourier eigenfunctions on R-n which vanish on the "component-wise square root" of this lattice, is infinite ...

EUROPEAN MATHEMATICAL SOC-EMS2022

Dot pattern generation using thick sinusoidal phase grating under Gaussian beam illumination

Toralf Scharf, Maryam Yousefi

Far-field dot pattern generation is analyzed for a Gaussian beam source that illuminates a sinusoidal phase grating which is placed at a certain distance behind the beam waist. We obtain a bigger field of view with more numbers of points using a Gaussian b ...

SPIE-INT SOC OPTICAL ENGINEERING2019

The epsilon expansion meets semiclassics

Riccardo Rattazzi, Alexander Monin, Gil Badel, Gabriel Francisco Cuomo

We study the scaling dimension Delta(phi n) of the operator phi(n) where phi is the fundamental complex field of the U(1) model at the Wilson-Fisher fixed point in d = 4 - epsilon. Even for a perturbatively small fixed point coupling lambda*, standard pert ...

Springer2019

Arithmetic and geometric structures in cryptography

Benjamin Pierre Charles Wesolowski

We explore a few algebraic and geometric structures, through certain questions posed by modern cryptography. We focus on the cases of discrete logarithms in finite fields of small characteristic, the structure of isogeny graphs of ordinary abelian varietie ...

EPFL2018

Inhomogeneous minima of mixed signature lattices

Eva Bayer Fluckiger, Martino Borello, Peter Simon Jossen

We establish an explicit upper bound for the Euclidean minimum of a number field which depends, in a precise manner, only on its discriminant and the number of real and complex embeddings. Such bounds were shown to exist by Davenport and Swinnerton-Dyer ([ ...

Academic Press Inc Elsevier Science2016

Hardware-in-the-loop Validation of the Grid Explicit Congestion Notification Mechanism for Primary Voltage Control in Active Distribution Networks

Jean-Yves Le Boudec, Mario Paolone, Marco Pignati, Konstantina Christakou, Styliani Sarri, Roman Rudnik

The Grid Explicit Congestion Notification control mechanism (GECN) is a broadcast-based real-time demand- response mechanism designed for primary voltage control in Active Distribution Networks (ADNs) [1,2]. An extensive set of off-line simulations has ind ...

Università degli Studi di Genova, Italy2016

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Cubic field

NORM TORI OF ETALE ALGEBRAS AND UNRAMIFIED BRAUER GROUPS

Lattice packings through division algebras

Fourier non-uniqueness sets from totally real number fields

Grid-Aware Real-Time Control of Electric Vehicles

Single-shot observation of breathers from noise-induced modulation instability using heterodyne temporal imaging

Dot pattern generation using thick sinusoidal phase grating under Gaussian beam illumination

The epsilon expansion meets semiclassics

Arithmetic and geometric structures in cryptography

Inhomogeneous minima of mixed signature lattices

Hardware-in-the-loop Validation of the Grid Explicit Congestion Notification Mechanism for Primary Voltage Control in Active Distribution Networks

Graph Chatbot

Chat with Graph Search

Fourier non-uniqueness sets from totally real number fields

Lattice packings through division algebras

Arithmetic and geometric structures in cryptography

Inhomogeneous minima of mixed signature lattices

Single-shot observation of breathers from noise-induced modulation instability using heterodyne temporal imaging

Dot pattern generation using thick sinusoidal phase grating under Gaussian beam illumination

Grid-Aware Real-Time Control of Electric Vehicles

NORM TORI OF ETALE ALGEBRAS AND UNRAMIFIED BRAUER GROUPS

The epsilon expansion meets semiclassics

Hardware-in-the-loop Validation of the Grid Explicit Congestion Notification Mechanism for Primary Voltage Control in Active Distribution Networks