Results 41 to 50 of about 39,822 (114)
Characterization of a Finite Nonabelian Simple Group by Its Order and Vanishing Prime Graph
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.Let G be a finite group. A vanishing element of G is an element g ∈ G such that χ(g) = 0 for some irreducible complex character χ of G. Denote by Vo(G) the set of orders of vanishing elements of G. The vanishing prime graph Γ(G) of G is defined as follows. The vertex set of Γ(G) is the set {p|p is a prime divisor of some element of Vo(G)}. Two distinct
Yongcai Ren, Shikha Binwal
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International Journal of Intelligent Systems, Volume 2026, Issue 1, 2026.Federated learning (FL) is a privacy‐preserving method for short‐term load forecasting in energy networks. However, current defense mechanisms against adversarial attacks often depend on supplementary machine learning frameworks, such as anomaly detection models or Byzantine‐robust aggregators.
Habib Ullah Manzoor +5 more
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Divisibility by 3 of even multiperfect numbers of abundancy 3 and 4 [PDF]
, 2010 We say a number is flat if it can be written as a non-trivial power of 2 times an odd squarefree number. The power is the “exponent” and the number of odd primes the “length”. Let N be flat and 4-perfect with exponent a and length m.
Broughan, Kevin A., Zhou, Qizhi
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Identificación de candidatos a primos Mersenne mediante clasificación ova-angular utilizando aprendizaje automático con regresión SVM y Kernel Gaussiano [PDF]
, 2023 In this paper three prime numbers are presented as high potentials to be Mersenne numbers and their application in computational primality testing is suggested.
Loaiza-Ossa, Gabriel Ignacio +1 more
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Finiteness and Explicit Solutions of 2x + pnqy = z2 for Certain Odd Primes
Journal of Mathematics, Volume 2026, Issue 1, 2026.We investigate all nonnegative integer solutions (x, y, z) of the exponential Diophantine equation 2x + pnqy = z2, where p and q are fixed odd primes, and n is a fixed positive integer. Using 2‐adic valuation techniques and known results on exponential equations, we classify all solutions explicitly under some conditions on p, q, and n.
Saeree Wananiyakul +5 more
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ALL EVEN (UNITARY) PERFECT POLYNOMIALS OVER F 2 WITH ONLY MERSENNE PRIMES AS ODD DIVISORS
, 2022 International audienceWe address an arithmetic problem in the ring F 2 [x]. We prove that the only (unitary) perfect polynomials over F 2 that are products of x, x + 1 and of Mersenne primes are precisely the nine (resp. nine "classes") known ones.
Rahavandrainy, Olivier +1 more
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NeonCROSS: Vectorized Implementation of Post-Quantum Signature CROSS on Cortex-A72 and Apple M3
Transactions on Cryptographic Hardware and Embedded SystemsThe advancement of quantum computing threatens traditional public-key cryptographic systems, prompting the development of post-quantum cryptography (PQC).
Hanyu Wei, Wenqian Li, Yunlei Zhao
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Effect of Displacement‐Dependent Stiffness Devices on Seismic Performance of Isolated Bridges
Structural Control and Health Monitoring, Volume 2026, Issue 1, 2026.Seismic isolation systems have been employed in bridges to increase their lateral flexibility and thereby improve their performance by reflecting seismic energy away from the structure. In recent years, stiffness devices that could passively generate both positive and negative tangential stiffness that varies with displacement were introduced within ...
Christos D. Varsamis +3 more
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On the Mersenne Prime Numbers [PDF]
, 2020 The prime numbers have been an important field of research for thousands of years and are intertwined with most other fields of mathematics. One topic that has piqued the interest of mathematicians young and old is the Mersenne prime numbers, which have ...
VanLandingham, Julia
core
Journal of Applied Crystallography, Volume 58, Issue 6, Page 2078-2089, December 2025.We experimentally demonstrate that the scattering‐induced decrease in light intensity experienced by a crystal embedded in a high‐viscosity jet is very limited in materials such as lipidic cubic phase or hydroxyethyl cellulose, and therefore cannot justify the use of pump energies exceeding the linear excitation regime under realistic experimental ...
Stanisław Niziński +5 more
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