Hu, Zhenhua; Yang, Lianzhong Fermat Diophantine equations over function fields. (English) Zbl 1199.30200 J. Shaoxing Univ., Nat. Sci. 28, No. 10, 1-5 (2008). Summary: We give a survey on some kinds of Diophantine equations over function fields. These results concern with the existence or non-existence of meromorphic(entire) solutions of the Fermat type functional equations by using the Nevanlinna’s theory. Cited in 1 Document MSC: 30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory 30D20 Entire functions of one complex variable (general theory) 11D41 Higher degree equations; Fermat’s equation 11R18 Cyclotomic extensions Keywords:functional equations; meromorphic functions; entire functions PDFBibTeX XMLCite \textit{Z. Hu} and \textit{L. Yang}, J. Shaoxing Univ., Nat. Sci. 28, No. 10, 1--5 (2008; Zbl 1199.30200)