摘要
本文给出了广义Dedekind和与Hardy和的定义,研究了广义Dedekind和的算术性质,并把Hardy和表示成广义Dedekind和的形式.提出了广义Subrahmanyam等式和Knopp定理,并给出了证明.
In this paper, the generalized Dedekind sums and Hardy sums are defined. The arithmetic properties of the generalized Dedekind sums are studied, and the generalized Hardy sums are expressed in terms of the generalized Dedekind sums. Finally, the generalized Subrahmanyam's identities and Knopp's theorems are given and proved.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
2006年第5期999-1008,共10页
Acta Mathematica Sinica:Chinese Series
基金
国家自然科学基金资助项目(10271093
60472068)