Diophantine equations and Fermat's last theorem for multivariate(skew-)polynomials  

作　　者：PAN Jie JIA Yu-ming LI Fang 

机构地区：[1]School of Mathematical Sciences,Zhejiang University,Hangzhou 310058,China [2]Henan Experimental High School,Zhengzhou 450003,China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2024年第1期159-173,共15页高校应用数学学报（英文版）（B辑）

基　　金：supported by the National Natural Science Foundation of China(12131015,12071422).

摘　　要：Fermat’s Last Theorem is a famous theorem in number theory which is difficult to prove.However,it is known that the version of polynomials with one variable of Fermat’s Last Theorem over C can be proved very concisely.The aim of this paper is to study the similar problems about Fermat’s Last Theorem for multivariate(skew)-polynomials with any characteristic.

关 键 词：Fermat's last theorem polynomial ring skew polynomial ring 

分 类 号：O156.7[理学—数学]