Publication
Computing Roots of Polynomials over Function Fields of Curves
Publications associées (66)
On arithmetic progressions in symmetric sets in finite field model
We consider two problems regarding arithmetic progressions in symmetric sets in the finite field (product space) model. First, we show that a symmetric set S subset of Z(q)(n) containing vertical bar S vertical bar = mu . q(n) elements must contain at leas ...
ELECTRONIC JOURNAL OF COMBINATORICS2020Variations on R-curves and traction-separation relations in DCB specimens loaded under end opening forces or pure moments
In this work the differences in R-curve response and traction-separation relations due to a finite damage zone or large-scale bridging (LSB) in mode I fracture on double cantilever beams (DCB) were investigated under end opening forces (EOF) and pure momen ...
PERGAMON-ELSEVIER SCIENCE LTD2020A generalization of Kátai's orthogonality criterion with applications
We study properties of arithmetic sets coming from multiplicative number theory and obtain applications in the theory of uniform distribution and ergodic theory. Our main theorem is a generalization of Kátai's orthogonality cri ...
2019Many touchings force many crossings
Given n continuous open curves in the plane, we say that a pair is touching if they have finitely many interior points in common and at these points the first curve does not get from one side of the second curve to its other side. Otherwise, if the two cur ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2019Acoustic Actuation Of Suspended Graphene For Linear Excitation Of 2D Nems
Luis Guillermo Villanueva Torrijo, Muhammad Faizan, Marsha Mary Parmar
In this paper, we present the fabrication of on-chip piezoelectric acoustic actuation for 2D materials. Acoustic actuation is achieved at device level through patterning of aluminum nitride (AlN) thin film at wafer scale. Two piezoelectric stacks consistin ...
IEEE2019On Sets Defining Few Ordinary Circles
An ordinary circle of a set P of n points in the plane is defined as a circle that contains exactly three points of P. We show that if P is not contained in a line or a circle, then P spans at least ordinary circles. Moreover, we determine the exact minimu ...
Springer2018Tomography of Large Adaptive Networks under the Dense Latent Regime
Ali H. Sayed, Augusto José Rabelo Almeida Santos
This work examines the problem of graph learning over a diffusion network when measurements can only be gathered from a limited fraction of agents (latent regime). Under this selling, most works in the literature rely on a degree of sparsity to provide gua ...
IEEE2018Two degree of freedom mechanical oscillator
Simon Nessim Henein, Ilan Vardi, Mohammad Hussein Kahrobaiyan
Mechanical oscillator (10) comprising an inertial body (101) joined to a support (100) by means of an elastic system (102, 103, 104, 105, 106, 107) arranged to provide the inertial body (101) with substantially no degrees of freedom in translation and with ...
2018The Shifted Convolution of Generalized Divisor Functions
We prove an asymptotic formula for the shifted convolution of the divisor functions d(k)(n) and d(n) with k >= 4, which is uniform in the shift parameter and which has a power saving error term, improving results obtained previously by Fouvry and Tenenbaum ...
OXFORD UNIV PRESS2018Distinct distances on regular varieties over finite fields
In this paper we study some generalized versions of a recent result due to Covert, Koh, and Pi (2015). More precisely, we prove that if a subset in a regular variety satisfies vertical bar epsilon vertical bar >> q(d-1/2 + 1/k-1), then Delta(k,F)(epsilon) ...
Elsevier2017