Search Results - "e SILVA, TOMÁS OLIVEIRA"
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A proof of the conjecture of Cohen and Mullen on sums of primitive roots
Published in Mathematics of computation (01-11-2015)“…>. This resolves a conjecture posed by Cohen and Mullen.]]>…”
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Vectorizing and distributing number‐theoretic transform to count Goldbach partitions on Arm‐based supercomputers
Published in Concurrency and computation (25-12-2023)“…Summary In this article, we explore the usage of scalable vector extension (SVE) to vectorize number‐theoretic transforms (NTTs). In particular, we show that…”
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EMPIRICAL VERIFICATION OF THE EVEN GOLDBACH CONJECTURE AND COMPUTATION OF PRIME GAPS UP TO 4 · 10
Published in Mathematics of computation (01-07-2014)“…This paper describes how the even Goldbach conjecture was confirmed to be true for all even numbers not larger than 4 · 10¹⁸. Using a result of Ramaré and…”
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On consecutive primitive elements in a finite field
Published in The Bulletin of the London Mathematical Society (01-06-2015)“…Abstract For $q$ an odd prime power with $q>169,$ we prove that there are always three consecutive primitive elements in the finite field $\mathbb {F}_{q}$…”
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On the application of block transmissions for improving control over lossy networks
Published in 2013 IEEE 18th Conference on Emerging Technologies & Factory Automation (ETFA) (01-09-2013)“…Over the last few years the problem of optimal estimation and control over lossy networks has been studied in detail. However, most of such works assume that…”
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Conference Proceeding -
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Linear combinations of primitive elements of a finite field
Published 31-08-2018“…Finite Fields and Their Applications Volume 51, May 2018 We examine linear sums of primitive roots and their inverses in finite fields. In particular, we…”
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On the asymptotic eigenvalue distribution of Block-Toeplitz matrices related to the generalized orthonormal basis functions model
Published in Automatica (Oxford) (01-10-1999)“…In this paper we study the asymptotic distribution of the eigenvalues of a family of Hermitian block-Toeplitz matrices, generated by the internal signals of…”
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Maximum Excursion and Stopping Time Record-Holders for the 3x + 1 Problem: Computational Results
Published in Mathematics of computation (01-01-1999)“…This paper presents some results concerning the search for initial values to the so-called 3x + 1 problem which give rise either to function iterates that…”
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Wideband all-digital transmitter based on multicore DSM
Published in 2016 IEEE MTT-S International Microwave Symposium (IMS) (01-05-2016)“…This paper presents a new wideband all-digital pulsed transmitter architecture based on delta-sigma modulation. The proposed architecture uses a parallel…”
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Conference Proceeding -
10
On consecutive primitive elements in a finite field
Published 22-10-2014“…Bull. Lond. Math. Soc., 2015, vol. 47, pp. 418-426 For $q$ an odd prime power with $q>169$ we prove that there are always three consecutive primitive elements…”
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Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4\cdot 10^{18}
Published in Mathematics of computation (01-07-2014)Get full text
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12
A path to oscillation free controller changes
Published in 2012 9th IEEE International Workshop on Factory Communication Systems (01-05-2012)“…Driven by the need to make a more efficient use of communication and computational resources, recently, a strong research effort has been devoted to the study…”
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Conference Proceeding -
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A novel dynamical approach to (m, k)-fırm scheduling
Published in 2014 10th IEEE Workshop on Factory Communication Systems (WFCS 2014) (01-05-2014)“…Many real-time systems tolerate, up to some extent, that instances of their tasks are skipped or miss their deadlines. In such cases it is possible to increase…”
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Conference Proceeding -
14
On the control of lossy networks with hold strategy
Published in 2013 8th IEEE International Symposium on Industrial Embedded Systems (SIES) (01-06-2013)“…The discipline of linear control in centralized systems has been extensively studied and optimal results can already be found in the literature. However, in…”
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Conference Proceeding -
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Optimal control in the presence of state uncertainty
Published in Proceedings of 2012 IEEE 17th International Conference on Emerging Technologies & Factory Automation (ETFA 2012) (01-09-2012)“…The problem of optimal control given full state knowledge has been solved many years ago and is very well documented. Nonetheless, in most control settings it…”
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Conference Proceeding -
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The distribution of $k$-free numbers
Published 10-12-2019“…Let $R_k(x)$ denote the error incurred by approximating the number of $k$-free integers less than $x$ by $x/\zeta(k)$. It is well known that…”
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A loosely coupled architecture for networked control systems
Published in 2011 9th IEEE International Conference on Industrial Informatics (01-07-2011)“…Nowadays the use of so-called Network Control Systems is a common practice. Although convenient, networks introduce several perturbations to the control…”
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Conference Proceeding -
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Optimality conditions for truncated Laguerre networks
Published in IEEE transactions on signal processing (01-09-1994)“…Presents optimality conditions for truncated Laguerre networks both for continuous time and for discrete time. Contrary to the current approach, no assumption…”
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On Grosswald's conjecture on primitive roots
Published 16-03-2015“…Grosswald's conjecture is that $g(p)$, the least primitive root modulo $p$, satisfies $g(p) \leq \sqrt{p} - 2$ for all $p>409$. We make progress towards this…”
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A proof of the conjecture of Cohen and Mullen on sums of primitive roots
Published 11-02-2014“…We prove that for all $q>61$, every non-zero element in the finite field $\mathbb{F}_{q}$ can be written as a linear combination of two primitive roots of…”
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