Publications related to Totally real number field

Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

Algebraic twists of GL(2) automorphic forms

Vignesh Arumugam Nadarajan

In this thesis we consider the problem of estimating the correlation of Hecke eigenvalues of GL2 automorphic forms with a class of functions of algebraic origin defined over finite fields called trace functions. The class of trace functions is vast and inc ...

EPFL2023

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

On the Apparent Non-Uniqueness of the Electromagnetic Field Components of Return Strokes Revisited

Marcos Rubinstein, Farhad Rachidi-Haeri

Recent research work shows that there are four procedures that can be used to calculate the electromagnetic fields from a current source. These different procedures, even though producing the same total field, give rise to field components that differ from ...

2021

Resilient Synchrophasor Networks for the Real-Time Monitoring, Protection and Control of Power Grids

Marco Pignati

Operational practices of both power transmission and distribution grids are impacted by the increasing connection of renewable energy resources, electric vehicles and energy storage systems. A timely and accurate knowledge of the system state, coupled with ...

EPFL2017

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

Angular distortive matrices of phase transitions in the fcc-bcc-hcp system

Cyril Cayron

This work generalizes the one-step model previously developed on fcc-bcc martensitic transformations to the larger family of phase transitions in the fcc-bcc-hcp system. The angular distortive matrices are calculated for the bcc-fcc, bcc-hcp and fcc-hcp tr ...

Elsevier2016

Computational Aspects of Jacobians of Hyperelliptic Curves

Alina Dudeanu

Nowadays, one area of research in cryptanalysis is solving the Discrete Logarithm Problem (DLP) in finite groups whose group representation is not yet exploited. For such groups, the best one can do is using a generic method to attack the DLP, the fastest ...

EPFL2016

Shimura Curves and Special Values of p-adic L-functions

Ernest Hunter Brooks

We construct "generalized Heegner cycles" on a variety fibered over a Shimura curve, defined over a number field. We show that their images under the p-adic Abel-Jacobi map coincide with the values (outside the range of interpolation) of a p-adic L-functio ...

Oxford University Press2015

Totally real number field

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Moments of the number of points in a bounded set for number field lattices

Algebraic twists of GL(2) automorphic forms

Fourier non-uniqueness sets from totally real number fields

On the Apparent Non-Uniqueness of the Electromagnetic Field Components of Return Strokes Revisited

Resilient Synchrophasor Networks for the Real-Time Monitoring, Protection and Control of Power Grids

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

Angular distortive matrices of phase transitions in the fcc-bcc-hcp system

Computational Aspects of Jacobians of Hyperelliptic Curves

Shimura Curves and Special Values of p-adic L-functions

Algebraic twists of GL(2) automorphic forms

Moments of the number of points in a bounded set for number field lattices

Fourier non-uniqueness sets from totally real number fields

On the Apparent Non-Uniqueness of the Electromagnetic Field Components of Return Strokes Revisited

Resilient Synchrophasor Networks for the Real-Time Monitoring, Protection and Control of Power Grids

Computational Aspects of Jacobians of Hyperelliptic Curves

Shimura Curves and Special Values of p-adic L-functions

Inhomogeneous minima of mixed signature lattices

Angular distortive matrices of phase transitions in the fcc-bcc-hcp system

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