| Hardy和Littlewood的一个三角和 |
| |
| 引用本文： | 何圆.Hardy和Littlewood的一个三角和[J].数学学报,2020(3):271-280. |
| |
| 作者姓名： | 何圆 |
| |
| 作者单位： | 内江师范学院数学与信息科学学院 |
| |
| 基金项目： | 国家自然科学基金资助项目(11326050)。 |
| |
| 摘 要： | 本文对Hardy和Littlewood考虑的一个有限三角和做了进一步地研究.通过充分运用Chebyshev多项式和M?bius函数的性质,建立了该有限三角和的一个有趣的恒等式,并得到了一个精确的渐近公式.
|
| 关 键 词： | 有限三角和 CHEBYSHEV多项式 MOBIUS函数 组合等式 |
On a Trigonometric Sum of Hardy and Littlewood |
| |
| Yuan HE.On a Trigonometric Sum of Hardy and Littlewood[J].Acta Mathematica Sinica,2020(3):271-280. |
| |
| Authors: | Yuan HE |
| |
| Institution: | (School of Mathematics and Information Science,Neijiang Normal University,Neijiang 641100,P.R.China) |
| |
| Abstract: | In this paper,we perform a further investigation for a finite trigonometric sum considered by Hardy and Little wood.By making use of some properties for the Chebyshev polynomials and M?bius function,we establish an interesting identity for the finite trigonometric sum of Hardy and Littlewood,by virtue of which an explicit asymptotic formula is also derived. |
| |
| Keywords: | finite trigonometric sums Chebyshev polynomials Mobius function combinatorial identities |
| 本文献已被 CNKI 维普 等数据库收录！ |
