Alternative formulae for the number of sublattices

被引:16
作者
Gruber, B
机构
来源
ACTA CRYSTALLOGRAPHICA SECTION A | 1997年 / 53卷
关键词
D O I
10.1107/S0108767397009781
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Two formulae for the number of sublattices of a given index k of an n-dimensional lattice are presented. They are based on the decomposition of the index k into a product of prime numbers and have the form of a rational function of these primes. Compared with other known methods, they can give the result in a much quicker and more comfortable way.
引用
收藏
页码:807 / 808
页数:2
相关论文
共 4 条
[1]  
Baake M, 1997, NATO ADV SCI I C-MAT, V489, P9
[2]  
CASSELS JWS, 1971, INTRO GEOMETRY NUMBE, P13
[3]  
SCHEJA G, 1988, LEHRBUCH ALGEBRA 2, P251
[4]  
1995, INT TABLES CRYSTALLO, VA