广义Dedekind和与Hardy和  

Generalized Dedekind Sums and Hardy Sums

作　　者：刘华宁[1] 张文鹏[1] 

机构地区：[1]西北大学数学系,西安710069

出　　处：《数学学报（中文版）》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)

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.

关 键 词：DEDEKIND和 Subrahmanyam等式 Knopp定理 

分 类 号：O156.4[理学—数学]