p-adic transcendence and p-adic transcendence measures for the values of Mahler type functions

被引:3
作者
Wang, TQ [1 ]
机构
[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
[2] Henan Univ, Coll Comp Sci, Kaifeng 475001, Peoples R China
基金
中国国家自然科学基金;
关键词
p-adic transcendence; p-adic transcendence measure; Mahler type function;
D O I
10.1007/s10114-005-0534-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We prove the p-adic transcendence and p-adic transcendence measures for the values of some Mahler type functions.
引用
收藏
页码:187 / 194
页数:8
相关论文
共 7 条
[1]  
Mahler K, 1930, MATH ANN, V103, P573, DOI 10.1007/BF01455711
[2]  
Mahler K, 1930, MATH Z, V32, P545, DOI 10.1007/BF01194652
[3]   Arithmetic characteristics of category of functional equation solution [J].
Mahler, K .
MATHEMATISCHE ANNALEN, 1929, 101 :342-366
[4]  
MOLCHANOV SM, 1983, VESTN MOSK U SER MAT, V38, P31
[5]   TRANSCENDENCE-MEASURES AND NONLINEAR FUNCTIONAL-EQUATIONS OF MAHLER TYPE [J].
NISHIOKA, K ;
TOPFER, T .
ARCHIV DER MATHEMATIK, 1991, 57 (04) :370-378
[6]  
Nishioka K., 1996, LECT NOTES MATH, DOI 10.1007/BFb0093672
[7]  
ZHU YC, 2003, INTRO TRANSCENDENTAL