| 关于类似广义Dedekind和S_2(h,m,n,k)的几个恒等式 |
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| 引用本文： | 王阳,华梦霞.关于类似广义Dedekind和S_2(h,m,n,k)的几个恒等式[J].南阳师范学院学报,2009,8(6):5-8. |
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| 作者姓名： | 王阳 华梦霞 |
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| 作者单位： | 南阳师范学院数学与统计学院,河南南阳,473061 |
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| 基金项目： | 南阳市科技局科技计划基金资助项目 |
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| 摘 要： | 利用初等方法研究了类似广义Dedekind和S2(h,m,n,,k)的算术性质.借助Bernoulli多项式及三角恒等式,探究了S2(qh,m,n,qk)与S2(h,m,n,k)的关系,以及当P为奇素数时∑S2(h+bk,m,n,pk)与S2(h,m,n,k)和S2(ph,m,n,k)的关系,提出并证明了两个恒等式,推广了有关文献的结论.
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| 关 键 词： | 类似广义Dedekind和S2(h m n k) Bernoulli多项式 恒等式 |
On some identities of the sum analogous to the generalized Dedekind sum S_2(h,m,n,k) |
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| WANG Yang,HUA Meng-xia.On some identities of the sum analogous to the generalized Dedekind sum S_2(h,m,n,k)[J].Journal of Nanyang Teachers College,2009,8(6):5-8. |
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| Authors: | WANG Yang HUA Meng-xia |
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| Institution: | School of Mathematics and Statistics;Nanyang Normal University;Nanyang 473061;China |
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| Abstract: | The arithmetic properties for a sum analogous to the generalized Dedekind are studied by using elementary method. With the Bernoulli polynomial and trigonometric identity,the relationship are studied between S2(qh,m,n,qk) and S2(h,m,n,k),sum from b=0 to (p-1) S2(h+bk,m,n,pk) and S2(h,m,n,k) and S2(ph,m,n,k),when p is a odd prime .Two identities are given and proved,the conclusions are extended in some references. |
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