2021/06/03 by Chen, Wei, Han, Qi, Wang, Qiong
#32A20 #32A22 #35F20 #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2106.01575
In this paper, we characterize meromorphic solutions f(z1,z2),g(z1,z2) to the generalized Fermat Diophantine functional equations h(z1,z2)fm+k(z1,z2)gn=1 in C2 for integers m,n≥2 and nonzero meromorphic functions h(z1,z2),k(z1,z2) in C2. Meromorphic solutions to associated partial differential equations are also studied.