| 范德瓦尔登数方程组 |
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| 引用本文： | 王宝存,黄益如,胡研.范德瓦尔登数方程组[J].上海大学学报(英文版),2006,10(2):106-108. |
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| 作者姓名： | 王宝存 黄益如 胡研 |
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| 作者单位： | Department of Mathematics College of Sciences Shanghai University Shanghai 200444 P.R. China，Department of Mathematics College of Sciences Shanghai University Shanghai 200444 P.R. China，Department of Mathematics College of Sciences Shanghai University Shanghai 200444 P.R. China |
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| 基金项目： | ProjectsupportedbyNationalNaturalScienceFoundationofChina(GrantNo.10171062) |
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| 摘 要： | SetWh(n,n)=p 1.ItisobviousthatthereexistvanderWaerdennum bersoncirclefromtheexistenceanduniquenessofthe vanderWaerdennumbers,andthefollowingresult holds.Theorem1ForthevanderWaerdennumberson circle,thereholds Wh(n,n)≤W(n,n).TheleftsideoftheinequalityinTheorem1isrigor ouslylessthantherightsideifW(n,n)satisfysome conditions.Theorem2IfthevanderWaerdennumbersW(n,n)=(n-1)a bfor2≤b≤n-2,andn>3,thenWh(n,n)
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| 关 键 词： | 数论 两分 圆 范德瓦尔登数方程组 |
| 文章编号： | 1007-6417（2006）02-0106-03 |
| 收稿时间： | 2003-12-31 |
| 修稿时间： | 2004-09-15 |
Systems of equations for van der Waerden numbers |
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| Bao-cun Wang,Yi-ru Huang,Yan Hu.Systems of equations for van der Waerden numbers[J].Journal of Shanghai University(English Edition),2006,10(2):106-108. |
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| Authors: | Bao-cun Wang Yi-ru Huang Yan Hu |
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| Institution: | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R. China |
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| Abstract: | In this paper we transfer the van der Waerden problem into a problem of solving special systems of equations and give some properties of the solutions for the systems. |
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| Keywords: | van der Waerden number two-partition van der Waerden numbers on circle |
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