Results 61 to 70 of about 68,753 (202)
Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2020 The paper proposes a method for constructing primitive polynomials that are used in the design of radio engineering systems, subsystems of cryptographic information protection in reliable automated information processing and control systems at critical ...
Г.М. Гулак
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Irreducibility of random polynomials of bounded degree
Discrete Analysis, 2021 Irreducibility of random polynomials of bounded degree, Discrete Analysis 2021:7, 16 pp. This paper contributes to a substantial literature on the subject of random polynomials and their behaviour, considerably generalizing known results that show that ...
Huy Tuan Pham, Max Wenqiang Xu
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Spherical Functions Associated With the Three Dimensional Sphere
, 2013 In this paper, we determine all irreducible spherical functions \Phi of any K -type associated to the pair (G,K)=(\SO(4),\SO(3)). This is accomplished by associating to \Phi a vector valued function H=H(u) of a real variable u, which is analytic at u=0 ...
AJ Durán +31 more
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On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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Two-Variable Wilson Polynomials and the Generic Superintegrable System on the 3-Sphere
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We show that the symmetry operators for the quantum superintegrable system on the 3-sphere with generic 4-parameter potential form a closed quadratic algebra with 6 linearly independent generators that closes at order 6 (as differential operators ...
Ernie G. Kalnins +2 more
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Irreducibility of generalized Fibonacci polynomials
, 2022 Two ...
Flórez, Rigoberto, Saunders, J. C.
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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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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 We provide irreducibility criteria for multiplicative convolutions of polynomials with integer coefficients, that is, for polynomials of the form hdeg f · f(g/h), where f, g, h are polynomials with integer coefficients, and g and h are relatively prime ...
Bonciocat Anca Iuliana +2 more
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Mutual Interlacing and Eulerian-like Polynomials for Weyl Groups [PDF]
, 2014 We use the method of mutual interlacing to prove two conjectures on the real-rootedness of Eulerian-like polynomials: Brenti's conjecture on $q$-Eulerian polynomials for Weyl groups of type $D$, and Dilks, Petersen, and Stembridge's conjecture on affine ...
Yang, Arthur L. B., Zhang, Philip B.
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A theorem of Dickson on irreducible polynomials [PDF]
Proceedings of the American Mathematical Society, 1952 Im Anschluß an ältere spezielle Untersuchungen von Dickson betrachtet Verf. allgemein über einem endlichen Körper mit \(q\) Elementen die Anzahlen der normierten Primpolynome \(P(x) = x^m + c_1x^{m-1}+\cdots + c_m\) vom Grade \(m\) mit bestimmten Vorschriften über die Koeffizienten \(c_1, c_m\). Aus dem von \textit{H. Davenport} und dem Ref. [J.
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