Zobrazeno 1 - 10 of 128 pro vyhledávání: '"Pingzhi, Yuan"'
1
Report
A note on an irreducible class of polynomials over integers
Autor: Weilin, Zhang, Pingzhi, Yuan
In this note, we prove an irreducibility criterion for the polynomial of the form $f(x) = a_{n}x^{n} + a_{n-1}x^{n-1} + \cdots + a_{m}x^{m} + p^{u} \in \mathbb{Z}[x]$, where $p$ is a prime number, $u \geqslant 1$, $\gcd(u, m) = 1$, $p \nmid a_{m}$ an
Externí odkaz: http://arxiv.org/abs/2303.03605
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2
Akademický článek
Fermat's and Catalan's equations over $ M_2(\mathbb{Z}) $
Autor: Hongjian Li, Pingzhi Yuan
Publikováno v: AIMS Mathematics, Vol 8, Iss 1, Pp 977-996 (2023)
Let $ A = \begin{pmatrix} a & b \\ c & d \end{pmatrix}\in M_2\left(\mathbb{Z}\right) $ be a given matrix such that $ bc\neq0 $ and let $ C(A) = \{B\in M_2(\mathbb{Z}): AB = BA\} $. In this paper, we give a necessary and sufficient condition for the s
Externí odkaz: https://doaj.org/article/d00799e4afeb4a0c86af041a197ab6b7
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3
Akademický článek
On Q-circulant matrices.
Autor: Hongjian Li, Weilin Zhang, Pingzhi Yuan
Publikováno v: Computational & Applied Mathematics; Apr2024, Vol. 43 Issue 3, p1-13, 13p
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7
Akademický článek
Some Properties of the Strong Primitivity of Nonnegative Tensors
Autor: Lihua You, Yafei Chen, Pingzhi Yuan
Publikováno v: Journal of Applied Mathematics, Vol 2018 (2018)
We show that an order m dimension 2 tensor is primitive if and only if its majorization matrix is primitive, and then we obtain the characterization of order m dimension 2 strongly primitive tensors and the bound of the strongly primitive degree. Fur
Externí odkaz: https://doaj.org/article/44df6115e54b4d1196bc7ef94be78250
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8
Further results on permutation polynomials from trace functions
Autor: Pingzhi Yuan, Danyao Wu
Publikováno v: Applicable Algebra in Engineering, Communication and Computing. 33:341-351
For a prime p and positive integers m, n, let $${{\mathbb {F}}}_q$$ be a finite field with $$q=p^m$$ elements and $${{\mathbb {F}}}_{q^n}$$ be an extension of $${{\mathbb {F}}}_q.$$ Let h(x) be a polynomial over $${{\mathbb {F}}}_{q^n}$$ satisfying t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::7277ff9c3ef475fbec678c71b2d33e8f
https://doi.org/10.1007/s00200-020-00456-6
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9
Positive Rational Number of the Form (Equation)
Autor: Hairong Bai, Pingzhi Yuan, Hongjian Li
Publikováno v: Academic Journal of Applied Mathematical Sciences. :93-99
Let (Equation) and (Equation) be positive integers with (Equation) . In this paper, we show that every positive rational number can be written as the form (Equation) , where m,n∈N if and only if (Equation) or (Equation) . Moreover, if (Equation) ,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2a1ac300d6b2b9a2a6726c4b2b3dfa03
https://doi.org/10.32861/ajams.67.93.99
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10
Some classes of permutation polynomials of the form $$b(x^q+ax+\delta )^{\frac{i(q^2-1)}{d}+1}+c(x^q+ax+\delta )^{\frac{j(q^2-1)}{d}+1}+L(x)$$ over $$ {{{\mathbb {F}}}}_{q^2}$$
Autor: Pingzhi Yuan, Danyao Wu
Publikováno v: Applicable Algebra in Engineering, Communication and Computing. 33:135-149
Let $$q$$ be a prime power and $$ {{{\mathbb {F}}}}_q$$ be a finite field with $$q$$ elements. In this paper, we employ the AGW criterion to investigate the permutation behavior of some polynomials of the form $$\begin{aligned} b(x^q+ax+\delta )^{1+\
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::47826638ca18e00734b73c461f444850
https://doi.org/10.1007/s00200-020-00441-z
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