Some number-theoretic identities from group actions

被引:32
作者
Sury B. [1 ]
机构
[1] Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore 560059
关键词
Cauchy-Frobenius formula; Generalized totient function; Linear action of GL [!sub]r[!/sub](Z [!sub]n[!/sub]); Not-Burnside lemma;
D O I
10.1007/s12215-009-0010-6
中图分类号
学科分类号
摘要
We apply group actions to some natural situations like the natural 'linear' action of GL r (Z n) and some of its subgroups to derive number-theoretic identities like. © 2009 Springer-Verlag Italia.
引用
收藏
页码:99 / 108
页数:9
相关论文
共 2 条
  • [1] Kesava Menon P., On the sum Σ(a - 1,n)[(a,n) = 1], J. Indian Math. Soc., (N.S.), 29, pp. 155-163, (1965)
  • [2] Neumann P., A lemma that is not Burnside's, Math. Sci., 4, pp. 133-141, (1979)