Results 31 to 40 of about 68,753 (202)
On Values of Cyclotomic Polynomials. V [PDF]
, 2003 In this paper, we present three results on cyclotomic polynomials. First, we present results about factorization of cyclotomic polynomials over arbitrary fields K.
Motose, Kaoru
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Square-free values of reducible polynomials
Discrete Analysis, 2016 Square-free values of reducible polynomials, Discrete Analysis, 2016:8, 18 pp. When does a polynomial with integer coefficients take infinitely many prime values? An obvious necessary condition is that it should be irreducible, and another is that there
Andrew R. Booker, T. D. Browning
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The construction of graphs with irreducible matching polynomials and their generalizations
AKCE International Journal of Graphs and CombinatoricsThis paper investigates methods for constructing graphs whose matching polynomials are irreducible over [Formula: see text]. Building on this, the construction method is extended to general graph polynomials, for graphs whose polynomials satisfy certain ...
Hou Shengzhe
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Some properties of generalized self-reciprocal polynomials over finite fields [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 Numerous results on self-reciprocal polynomials over finite fields have been studied. In this paper we generalize some of these to a-self reciprocal polynomials defined in [4].
Ryul Kim, Ok-Hyon Song, Hyon-Chol Ri
doaj
Quantum alpha-determinants and q-deformed hypergeometric polynomials
, 2009 The quantum $\alpha$-determinant is defined as a parametric deformation of the quantum determinant. We investigate the cyclic $\mathcal{U}_q(\mathfrak{sl}_2)$-submodules of the quantum matrix algebra $\mathcal{A}_q(\mathrm{Mat}_2)$ generated by the ...
Kimoto, Kazufumi
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Enumeration of Linear Transformation Shift Registers
, 2013 We consider the problem of counting the number of linear transformation shift registers (TSRs) of a given order over a finite field. We derive explicit formulae for the number of irreducible TSRs of order two.
Ram, Samrith
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Development and design of an FPGA-based encoder for NPN
Cogent Engineering, 2022 This paper describes a cryptographic protection system hardware device designed to improve data encryption and decryption performance and preserve data integrity.
M.K. Ibraimov +4 more
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Irreducibility of multivariate polynomials
Journal of Computer and System Sciences, 1985 This paper deals with the problem of computing the degrees and multiplicities of the irreducible factors of a given multivariate polynomial. This includes the important question of testing for irreducibility. A probabilistic reduction from multivariate to bivariate polynomials is given, over an arbitrary (effectively computable) field.
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Irreducibility of extensions of Laguerre polynomials [PDF]
Functiones et Approximatio Commentarii Mathematici, 2020 For integers $a_0,a_1,\ldots,a_n$ with $|a_0a_n|=1$ and either $α=u$ with $1\leq u \leq 50$ or $α=u+ \frac{1}{2}$ with $1 \leq u \leq 45$, we prove that $ψ_n^{(α)}(x;a_0,a_1,\cdots,a_n)$ is irreducible except for an explicit finite set of pairs $(u,n)$. Furthermore all the exceptions other than $n=2^{12},α=89/2$ are necessary.
Laishram, Shanta +2 more
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Journal of Applied Polymer Science, EarlyView.Optimized potential of rCB via DOE: recovered carbon black from end‐of‐life tires was assessed as a full substitute for conventional carbon black in IIR composites. DOE and response surface methodology optimized rCB loading, plasticizer, and sulfur contents. Hardness showed linear trends, while rupture energy was nonlinear.
Vinícius Guedes Gobbi +3 more
wiley +1 more source