Mahler型函数值的代数无关度量

数学季刊 ›› 2006, Vol. 21 ›› Issue (4): 567-576.

Mahler型函数值的代数无关度量

1. Institute of Data and Knowledge Engineering,Henan University 2. College of Mathematics and Information Science,Henan University

收稿日期:2004-11-18 出版日期:2006-12-30 发布日期:2023-11-21
作者简介:WANG Tian-qin(1968),female,native of Nanyang,Henan,an associate professor of Henan University,Ph.D.,engages in number theory and cryptography;LIU Hua-ke(1967-),female,native of Nanyang, Henan,a lecturer of Henan University,engages in information theory.
基金资助:
Supported by the Natural Science Foundation of Henan University(05ZDZR001)；

Algebraic Independence Measures for the Values of Mahler Type Functions

1. Institute of Data and Knowledge Engineering,Henan University 2. College of Mathematics and Information Science,Henan University

Received:2004-11-18 Online:2006-12-30 Published:2023-11-21
About author:WANG Tian-qin(1968),female,native of Nanyang,Henan,an associate professor of Henan University,Ph.D.,engages in number theory and cryptography;LIU Hua-ke(1967-),female,native of Nanyang, Henan,a lecturer of Henan University,engages in information theory.
Supported by:
Supported by the Natural Science Foundation of Henan University(05ZDZR001)；

摘要/Abstract

摘要： In this paper,we give the algebraic independence measures for the values of Mahler type functions in complex number field and p-adic number field,respectively.

关键词: algebraic independence measure, Mahler type function, p-adic number field

Abstract: In this paper,we give the algebraic independence measures for the values of Mahler type functions in complex number field and p-adic number field,respectively.

Key words: algebraic independence measure, Mahler type function, p-adic number field

中图分类号:

O156.6

王天芹, 刘华珂. Mahler型函数值的代数无关度量[J]. 数学季刊, 2006, 21(4): 567-576.

WANG Tian-qin, LIU Hua-ke. Algebraic Independence Measures for the Values of Mahler Type Functions [J]. Chinese Quarterly Journal of Mathematics, 2006, 21(4): 567-576.