ON MEROMORPHIC SOLUTIONS OF GENERALIZED FERMAT EQUATIONS

被引：4

作者：

Lin, Bao Qin ^{[1
]}

机构：

[1] Florida Int Univ, Dept Math & Stat, Miami, FL 33199 USA

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2014年 / 25卷 / 01期

关键词：

Meromorphic solution; Fermat equation; partial differential equation; functional equation; LEMMA;

D O I：

10.1142/S0129167X14500025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Meromorphic solutions f, g of the equations f(p) + g(q) = 1 in C-2 with p, q >= 2 being integers are not necessarily constant. We show that they always are, if f(z2) and g(z1) have the same zeros. An application is also given to characterize meromorphic solutions of related nonlinear partial differential equations.

引用

页数：8

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