A transcendence criterion in positive characteristic and applications

作者:Yao Jia Yan*
来源:Comptes Rendus Mathematique, 2006, 343(11-12): 699-704.
DOI:10.1016/j.crma.2006.10.023

摘要

In this Note we shall present a general transcendence criterion in positive characteristic, which unifies many famous transcendence criteria such as those of L.I. Wade, S.M. Spencer, Jr., B. de Mathan, L. Denis, Y. Hellegouarch, etc. As applications, we shall study the transcendence of two families of functions at nonzero algebraic arguments.