Results 101 to 110 of about 1,246,845 (203)

Silicon single-electron random number generator based on random telegraph signals at room temperature

open access: yesAIP Advances, 2020
The need for hardware random number generators (HRNGs) that can be integrated in a silicon (Si) complementary-metal–oxide–semiconductor (CMOS) platform has become increasingly important in the era of the Internet-of-Things (IoT).
Kouta Ibukuro   +9 more
doaj   +1 more source

Mersenne numbers [PDF]

open access: yes, 1987
These notes have been issued on a small scale in 1983 and 1987 and on request at other times. This issue follows two items of news. First, WaIter Colquitt and Luther Welsh found the 'missed' Mersenne prime M110503 and advanced the frontier of complete Mp-testing to 139,267. In so doing, they terminated Slowinski's significant string of four consecutive
openaire  

Perfect and Mersenne Numbers [PDF]

open access: yes, 2019
U ovom radu proučavamo Mersenneove i savršene brojeve. Kažemo da je prirodan broj N savršen ako je σ(N) = 2N, gdje je σ(N) suma pravih djelitelja broja N.
Patković, Kristina
core   +1 more source

Novel Classes on Generating Functions of the Products of (p,q)-Modified Pell Numbers with Several Bivariate Polynomials

open access: yesMathematics
In this paper, using the symmetrizing operator δe1e22−l, we derive new generating functions of the products of p,q-modified Pell numbers with various bivariate polynomials, including Mersenne and Mersenne Lucas polynomials, Fibonacci and Lucas ...
Ali Boussayoud   +2 more
doaj   +1 more source

Gaussian Mersenne numbers and generalized Mersenne quaternions [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2019
Ahmet Daşdemir, Göksal Bilgici
openaire   +1 more source

Generalised Mersenne Numbers Revisited [PDF]

open access: yes, 2011
Generalised Mersenne Numbers (GMNs) were defined by Solinas in 1999 and feature in the NIST Digital Signature Standard (FIPS 186-2) for use in elliptic curve cryptography. Their form is such that modular reduction is extremely efficient, thus making them
Robert Granger, Andrew Moss
core  

On the emergence of the Quanta Prime sequence

open access: yesArab Journal of Basic and Applied Sciences
This paper presents the Quanta Prime Sequence (QPS) and its foundational theorem, showcasing a unique class of polynomials with substantial implications.
Moustafa Ibrahim
doaj   +1 more source

MERSENNE AND HADAMARD MATRICES CALCULATION BY SCARPIS METHOD [PDF]

open access: yesНаучно-технический вестник информационных технологий, механики и оптики, 2014
Purpose. The paper deals with the problem of basic generalizations of Hadamard matrices associated with maximum determinant matrices or not optimal by determinant matrices with orthogonal columns (weighing matrices, Mersenne and Euler matrices, ets ...
N. A. Balonin   +2 more
doaj  

On Generalized Mersenne Numbers and Extended Fermat Numbers

open access: yes
In this paper, we study a generalization of Mersenne numbers and we introduce an extension of Fermat numbers, we find their generating functions binet formulas, related matrix representation and many other properties.
Ala'a Al-Kateeb   +2 more
core   +1 more source

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