费马方程除以2 × 2矩阵

IF 0.6 4区数学 Q3 MATHEMATICS Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI:10.4134/BKMS.B200403

M. Chien, Jie Meng

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引用次数: 2

摘要

．研究了费马矩阵方程在某些2 × 2矩阵中的可解性。证明了费马矩阵方程在一组2 × 2正半定积分矩阵中有无穷多个解，在2 × 2对称有理矩阵和随机二次域矩阵中无非平凡解

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FERMAT'S EQUATION OVER 2-BY-2 MATRICES

. We study the solvability of the Fermat’s matrix equation in some classes of 2-by-2 matrices. We prove the Fermat’s matrix equation has inﬁnitely many solutions in a set of 2-by-2 positive semideﬁnite integral matrices, and has no nontrivial solutions in some classes including 2-by-2 symmetric rational matrices and stochastic quadratic ﬁeld matrices

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).

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