Results 51 to 60 of about 464 (180)
Forum of Mathematics, Sigma, 2014 We extend the modularity lifting result of P. Kassaei (‘Modularity lifting in parallel weight one’,J. Amer. Math. Soc. 26 (1) (2013), 199–225) to allow Galois representations with some ramification at
PAYMAN L. KASSAEI +2 more
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The first two group theory papers of Philip Hall
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract In this paper, we discuss the first two papers on soluble groups written by Philip Hall and their influence on the study of finite groups. The papers appeared in 1928 and 1937 in the Journal of the London Mathematical Society.
Inna Capdeboscq
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The modular automorphisms of quotient modular curves
Mathematika, Volume 72, Issue 1, January 2026.Abstract We obtain the modular automorphism group of any quotient modular curve of level N$N$, with 4,9∤N$4,9\nmid N$. In particular, we obtain some unexpected automorphisms of order 3 that appear for the quotient modular curves when the Atkin–Lehner involution w25$w_{25}$ belongs to the quotient modular group. We also prove that such automorphisms are
Francesc Bars, Tarun Dalal
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Safe and Quickest Medical Image Encryption Using Logistic Map Derived S‐Boxes and Galois Field
Computational and Mathematical Methods, Volume 2026, Issue 1, 2026.The pseudorandomness, simplicity of use, and extreme sensitivity to even the slightest change in the initial value and handling parameters make chaotic maps attractive. The use of medical imaging to diagnose illnesses has grown in significance. These photographs need strong security measures because they are exchanged over public networks.
Mahwish Bano +5 more
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AlgorithmsMathematical tools have been developed that are analogous to the tool that allows one to reduce the description of linear systems in terms of convolution operations to a description in terms of amplitude-frequency characteristics.
Aruzhan Kadyrzhan +3 more
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Faster Positional‐Population Counts for AVX2, AVX‐512, and ASIMD
Concurrency and Computation: Practice and Experience, Volume 37, Issue 27-28, 25 December 2025.ABSTRACT The positional population count operation pospopcnt counts for an array of w$$ w $$‐bit words how often each of the w$$ w $$ bits was set. Various applications in bioinformatics, database engineering, and digital processing exist. Building on earlier work by Klarqvist et al., we show how positional population counts can be rapidly computed ...
Robert Clausecker +2 more
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Galois Field Instructions in the Sandblaster 2.0 Architectrue
International Journal of Digital Multimedia Broadcasting, 2009 This paper presents a novel approach to implementing multiplication of Galois Fields with 2N. Elements of GF(2N) can be represented as polynomials of degree less than N over GF(2).
Mayan Moudgill +2 more
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Nontriviality of rings of integral‐valued polynomials
Mathematische Nachrichten, Volume 298, Issue 12, Page 3974-3994, December 2025.Abstract Let S$S$ be a subset of Z¯$\overline{\mathbb {Z}}$, the ring of all algebraic integers. A polynomial f∈Q[X]$f \in \mathbb {Q}[X]$ is said to be integral‐valued on S$S$ if f(s)∈Z¯$f(s) \in \overline{\mathbb {Z}}$ for all s∈S$s \in S$. The set IntQ(S,Z¯)${\mathrm{Int}}_{\mathbb{Q}}(S,\bar{\mathbb{Z}})$ of all integral‐valued polynomials on S$S ...
Giulio Peruginelli, Nicholas J. Werner
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Application of Partial Discrete Logarithms for Discrete Logarithm Computation
ComputersA novel approach to constructing an algorithm for computing discrete logarithms, which holds significant interest for advancing cryptographic methods and the applied use of multivalued logic, is proposed.
Dina Shaltykova +3 more
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Vladimirov–Pearson operators on ζ$\zeta$‐regular ultrametric Cantor sets
Mathematische Nachrichten, Volume 298, Issue 12, Page 3779-3790, December 2025.Abstract A new operator for certain types of ultrametric Cantor sets is constructed using the measure coming from the spectral triple associated with the Cantor set, as well as its zeta function. Under certain mild conditions on that measure, it is shown that it is an integral operator similar to the Vladimirov–Taibleson operator on the p$p$‐adic ...
Patrick Erik Bradley
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