Effective lower bounds of the p-adic distance between powers of algebraic numbers

被引：70
|
作者：
Bugeaud, Y
Laurent, M
机构：
[1] UNIV STRASBOURG 1,STRASBOURG,FRANCE
[2] CNRS,INST MATH LUMINY,MARSEILLE,FRANCE
来源：
JOURNAL OF NUMBER THEORY | 1996年 / 61卷 / 02期
关键词：
D O I：
10.1006/jnth.1996.0152
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We use the new tool of interpolation determinants to get precise lower bounds for the p-adic distance between two integral powers of algebraic numbers. This work is the p-adic analogue of the two papers (M. Laurent, Acta Arith. 66, No. 2 (1994), 181-199; M. Laurent et al., J. Number Theory 55 (1995), 255-321) on which it is based, although several new specific p-adic ideas are introduced here. (C) 1996 Academic Press, Inc.
引用
收藏
页码：311 / 342
页数：32
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