Results 51 to 60 of about 1,246,845 (203)

Improved cryptanalysis of the AJPS Mersenne based cryptosystem

Journal of Mathematical Cryptology, 2020
At Crypto 2018, Aggarwal, Joux, Prakash and Santha (AJPS) described a new public-key encryption scheme based on Mersenne numbers. Shortly after the publication of the cryptosystem, Beunardeau et al. described an attack with complexity 𝓞(22h).
Coron Jean-Sébastien, Gini Agnese
doaj   +1 more source

Boolean Hypercubes, Classification of Natural Numbers, and the Collatz Conjecture

Journal of Mathematical Sciences and Modelling, 2022
Using simple arguments derived from the Boolean hypercube configuration, the structure of natural spaces, and the recursive exponential generation of the set of natural numbers, a linear classification of the natural numbers is presented.
Ramon Carbó Dorca, Carlos Perelman
doaj   +1 more source

On the square-freeness of Fermat and Mersenne numbers [PDF]

Pacific Journal of Mathematics, 1967
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Warren, Leroy J., Bray, Henry G.
openaire   +3 more sources

Optimal Control Drives Ultrafast and Energy‐Efficient Magnetization Switching in Van der Waals Magnets

Advanced Materials, Volume 38, Issue 59, 22 October 2026.
ABSTRACT The accelerating expansion of data‐centric technologies is sharply increasing the energy burden of information storage, placing unprecedented pressure on the efficiency of magnetic switching. Conventional field‐driven reversal, once the foundation of magnetic memory, has become impractical in modern architectures due to its high energy cost ...
Mohammad H. Badarneh, PeiYu Cai, Elton J. G. Santos   +2 more
wiley   +1 more source

The Relation of Tribinomial Coefficients with Triangular, Catalan and Mersenne Number

Science and Technology Indonesia
Numbers are inseparable from mathematics. Each of these types of numbers has its own distinct definition and properties. Numbers are not only used in mathematics, but are also essential in other fields such as philosophy, technology, and science ...
Wamiliana, Desiana Putri, Notiragayu
doaj   +1 more source

EXPONENTIAL AND CHARACTER SUMS WITH MERSENNE NUMBERS [PDF]

Journal of the Australian Mathematical Society, 2012
AbstractWe give new bounds on sums of the form ∑ n≤NΛ(n)exp (2πiagn/m) and ∑ n≤NΛ(n)χ(gn+a), where Λ is the von Mangoldt function, m is a natural number, a and g are integers coprime to m, and χ is a multiplicative character modulo m. In particular, our results yield bounds on the sums ∑ p≤Nexp (2πiaMp/m) and ∑ p≤Nχ(Mp) with Mersenne numbers Mp=2p−1 ...
Banks, William D., Friedlander, John B., Garaev, Moubariz Z., Shparlinski, Igor E.   +3 more
openaire   +1 more source

Performances and Fatigue Responses to Weighted Vest Training in Parkour Novices

European Journal of Sport Science, Volume 26, Issue 10, October 2026.
ABSTRACT Weighted vest training has demonstrated benefits for muscle strength, which is critical for parkour performance. However, the acute effects of external loading in this discipline remain poorly understood. This study investigated the impact of weighted vest use during parkour sessions on lower‐limb performance, perceived exertion, and muscle ...
Sidney Grosprêtre, Philémon Marcel‐Millet, Pauline Eon, Lucas Garbellotto, Bart Roelands, Kevin De Pauw   +5 more
wiley   +1 more source

ON THE LARGEST PRIME FACTOR OF THE MERSENNE NUMBERS [PDF]

Bulletin of the Australian Mathematical Society, 2009
AbstractLetP(k) be the largest prime factor of the positive integerk. In this paper, we prove that the seriesis convergent for each constantα<1/2, which gives a more precise form of a result of C. L. Stewart [‘On divisors of Fermat, Fibonacci, Lucas and Lehmer numbers’,Proc. London Math. Soc.35(3) (1977), 425–447].
Ford, Kevin, Luca, Florian, Shparlinski, Igor E.   +2 more
openaire   +2 more sources

Sum of Squares of ‘m’ Consecutive Woodall Numbers

مجلة بغداد للعلوم, 2023
        This paper discusses the Sums of Squares of “m” consecutive Woodall Numbers. These discussions are made from the definition of Woodall numbers. Also learn the comparability of Woodall numbers and other special numbers.
P. Shanmuganandham, T. Deepika
doaj   +1 more source

Rocking and Rolling of Rigid Polygons Under Seismic Excitation

Earthquake Engineering &Structural Dynamics, Volume 55, Issue 12, Page 3161-3180, 10 October 2026.
ABSTRACT We present an event driven analytical framework for rigid cyclic polygons subjected to horizontal ground excitation in which uplift, impact, and successive pivot switching are treated within a unified non‐smooth dynamical description. Rolling is defined as a sequence of energetically admissible transitions between neighbouring vertices tied to
Atif Rasheed, Christian Málaga‐Chuquitaype   +1 more
wiley   +1 more source