|本期目录/Table of Contents|

素数下的整自仿tiles 的数字集(PDF)

《纯粹数学与应用数学》[ISSN:1008-5513/CN:61-1240/O1]

期数:
2010年02期
页码:
311-315
栏目:
出版日期:
2010-04-25

文章信息/Info

Title:
Digit sets of integral self-a±ne tiles with prime determinant
作者:
张丽芬
( 陕西师范大学数学与信息科学学院, 陕西西安710062 )
Author(s):
ZHANG Li-fen
( College of Mathematics and Information Sicence, Shaanxi Normal University, Xi'an 710062, China)
关键词:
整自仿tile 迭代函数系 数字集
Keywords:
integral self-a±ne tiles iterated function system digit set
分类号:
O174.12
DOI:
-
文献标识码:
A
摘要:
讨论了一维情形下有素数行列式值的整数自仿tiles, 其数字集D 的特征. 通 过比较b 与p 的关系得到如下结论:(i) p - b ,D 是mod p 的一个完全剩余类;(ii) p j b ,D = p°D0, 其中° 2 N¤,D0 是mod p 的一个完全剩余类. 该结论可被推广到高 维情形, 加强了一些作者的结果. 最后, 给出与此结论相关的三个注记与例子.
Abstract:
Under one-dimensional case, the author discusses the characteristic of digit sets of integral self-a±ne tiles with prime determinant. By comparing the relation of b and p, we obtain the following result: (i) p - b ,D is a complete set of residues (mod p); (ii) p j b ,D = p°D0,with ° 2 N¤ and D0 is a complete set of residues (mod p). Note that this result can be generalized to higher dimensions, which improves some known results . Then three remarks and examples to be given to illustrate this result.

参考文献/References

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备注/Memo

备注/Memo:
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更新日期/Last Update: 2010-06-02