ALGEBRAIC INDEPENDENCE OF CERTAIN NUMBERS RELATED TO LIOUVILLE NUMBERS

作     者：MICHEL WALDSCHMIDT 朱尧辰 

作者机构：Institut Institute of Applied Mathematics Academia Sinica Beijing 100080 PRC 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：1990年第33卷第3期

页      面：257-268页

核心收录：

学科分类：07[理学] 08[工学] 

主　　题：Liouville number Kummer theory transcendence measure algebraic independence. 

摘      要：In this paper, we develop an algebraic independence method originated from a work of Mordoukhay-Boltovskoy, which allows us to establish the algebraic independence of certain numbers connected with Liouville numbers. This method depends either on elementary results of the Kummer theory or on transcendence measures for certain classes of numbers.