Results 61 to 70 of about 1,177 (152)
From Caesar to RSA: A CAMMP‐Based Encryption Workshop for High‐School Classes
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Encryption has been, and remains, a topic of enduring relevance, reflecting humanity's persistent desire for secure communication. This 3‐hour workshop, developed within the CAMMP framework, aims to introduce participants to the principles of secure communication while fostering mathematical understanding at an appropriate pace for the target ...
Alicia Heck, Benjamin Stamm
wiley +1 more source
Direct and inverse factorization algorithms of numbers
Lietuvos Matematikos Rinkinys, 2019 The factoring natural numbers into factors is a complex computational task. The complexity of solving this problem lies at the heart of RSA security, one of the most famous cryptographic methods.
Grigorijus Melničenko
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The 3‐sparsity of Xn−1$X^n-1$ over finite fields of characteristic 2
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Let q$q$ be a prime power and Fq$\mathbb {F}_q$ the finite field with q$q$ elements. For a positive integer n$n$, the polynomial Xn−1∈Fq[X]$X^n - 1 \in \mathbb {F}_q[X]$ is termed 3‐sparse over Fq$\mathbb {F}_q$ if all its irreducible factors in Fq[X]$\mathbb {F}_q[X]$ are either binomials or trinomials.
Kaimin Cheng
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Extensions of some formulae of A. Selberg
International Journal of Mathematics and Mathematical Sciences, 1985 This paper is concerned with estimating the number of positive integers up to some bound (which tends to infinity), such that they have a fixed number of prime divisors, and lie in a given arithmetic progression.
Claudia A. Spiro
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On the additive image of zeroth persistent homology
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract For a category X$X$ and a finite field F$F$, we study the additive image of the functor H0(−;F)∗:rep(X,Top)→rep(X,VectF)$\operatorname{H}_0(-;F)_* \colon \operatorname{rep}(X, \mathbf {Top}) \rightarrow \operatorname{rep}(X, \mathbf {Vect}_F)$, or equivalently, of the free functor rep(X,Set)→rep(X,VectF)$\operatorname{rep}(X, \mathbf {Set ...
Ulrich Bauer +3 more
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On the intermediate Jacobian of M5-branes
Journal of High Energy PhysicsWe study Euclidean M5-branes wrapping vertical divisors in elliptic Calabi-Yau fourfold compactifications of M/F-theory that admit a Sen limit. We construct these Calabi-Yau fourfolds as elliptic fibrations over coordinate flip O3/O7 orientifolds of ...
Patrick Jefferson, Manki Kim
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Rational points on even‐dimensional Fermat cubics
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
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A note on generalized Zumkeller numbers [PDF]
Notes on Number Theory and Discrete MathematicsA positive integer n is called an e-Zumkeller number if the exponential divisors of n can be partitioned into two disjoint subsets of equal sum. Generalizing the concept of e-Zumkeller numbers, we define multiplicatively e-Zumkeller numbers. In addition,
Jayanta Kalita, Helen K. Saikia
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Suppression of Oscillation and Ghosting in RF‐Spoiled Gradient‐Echo‐Based Dynamic Imaging
Magnetic Resonance in Medicine, Volume 96, Issue 5, Page 2177-2187, November 2026.ABSTRACT PurposeThis study aims to address the suppression of oscillation and ghosting appearing in RF‐spoiled gradient‐echo‐based dynamic imaging, which is caused by the pseudo‐steady state (PSS) of magnetization. Theory and MethodsWe extended the concept of the previous RF phase‐cycle‐adapted averaging method to RF‐spoiled gradient‐echo‐based cine ...
Jae‐Youn Keum, Jang‐Yeon Park
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Solar RRL, Volume 10, Issue 19, 15 October 2026.A modular multi‐domain framework couples electrical and thermal subsystems to simulate floating photovoltaic performance. Four configurations, pairing two electrical (EF, PMPP) and two thermal (MLTM, FDM) models, are validated against Orlando OEDI field data.
Oreoluwa Lawale +2 more
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