On the diophantine analysis of algebraic functions
Yoshio Wada · Proceedings of the Japan Academy Series A Mathematical Sciences · 1944
Tue's and Siegel's theorems are very important and significant in the recent development of the diophantine analysis.We see that the greater part of these theories will hold good even if algebraic functions are considered, instead of algebraic numbers.The purpose of this paper is to treat the outline of this analogy.Details will be discussed in another paper.We consider an algebraic function (t) with elements of a corpus / as coefficients.The Laurent's expansion of (t) at infinity is of the form o(t) -' a at + a_ -. -I-ao+ -a--F ---/