Cryptographical Applications of Linear Transformations and Pell Equations: An R-Based Approach
Indian Journal of Science and TechnologyObjective: This article’s main aim is to encrypt and decrypt the message to be sent using matrices of the linear transformation and the fundamental solution of the Pell equation. R Programming is provided at the end of the article.
K. Kaleeswari +3 more
semanticscholar +1 more source
Eulerian polynomials as moments, via exponential Riordan arrays [PDF]
, 2011 Using the theory of exponential Riordan arrays and orthogonal polynomials, we demonstrate that the "descending power" Eulerian polynomials, and their once shifted sequence, are moment sequences for simple families of orthogonal polynomials, which we ...
Barry, Paul
core +3 more sources
On Doubled and Quadrupled Fibonacci Type Sequences
Annales Mathematicae SilesianaeIn this paper we study a family of doubled and quadrupled Fibonacci type sequences obtained by distance generalization of Fibonacci sequence. In particular we obtain doubled Fibonacci sequence, doubled and quadrupled Padovan sequence and quadrupled ...
Yilmaz Nur Şeyma +3 more
doaj +1 more source
Some Determinants Involving Incomplete Fubini Numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 We study some properties of restricted and associated Fubini numbers. In particular, they have the natural extensions of the original Fubini numbers in the sense of determinants.
Komatsu Takao, Ramírez José L.
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Some conjectures on the ratio of Hankel transforms for sequences and series reversion [PDF]
, 2007 For each element of certain families of integer sequences, we study the term-wise ratios of the Hankel transforms of three sequences related to that element by series reversion.
Barry, P.
core +1 more source
Square Roots of Real 3 × 3 Matrices vs. Quartic Polynomials with Real Zeros
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 There is an interesting analogy between the description of the real square roots of 3×3 matrices and the zeros of the (depressed) real quartic polynomials.
Anghel Nicolae
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Unit group of the ring of negacirculant matrices over finite commutative chain rings
Special MatricesCirculant matrices form an important class of matrices that have been continuously studied due to their nice algebraic structures and wide applications. In this study, we focus specifically on negacirculant matrices, which are known as extensions of the ...
Naksing Prarinya, Jitman Somphong
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Determinant Identities and the Geometry of Lines and Circles
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 The focus of this note is the nontrivial determinant identities which typically underlie the complex analytic proofs of all the results in the plane geometry of lines and circles.
Anghel Nicolae
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On (k1A1, k2A2, k3A3)-Edge Colourings in Graphs and Generalized Jacobsthal Numbers
Annales Mathematicae SilesianaeIn this paper we introduce a new kind of generalized Jacobsthal numbers in a distance sense. We give the identities and matrix representations for them and their connections with the Fibonacci and the Pell numbers. We also describe the interpretations of
Piejko Krzysztof, Trojnar-Spelina Lucyna
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The number of rational points of some classes of algebraic varieties over finite fields
Open MathematicsLet Fq{{\mathbb{F}}}_{q} be the finite field of characteristic pp and Fq*=Fq\{0}{{\mathbb{F}}}_{q}^{* }\left={{\mathbb{F}}}_{q}\backslash \left\{0\right\}.
Zhu Guangyan +3 more
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