Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas

被引：6

作者：

Guo, Victor J. W. ^{[1
]}

Zeng, Jiang ^{[2
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] Univ Lyon 1, Univ Lyon, CNR, UMR 5208,Inst Camille Jordan, F-69622 Villeurbanne, France

来源：

DISCRETE MATHEMATICS | 2008年 / 308卷 / 18期

关键词：

q-binomial coefficient; q-Chu-Vandermonde formula; Euler's pentagonal number theorem; Lucas' formulas;

D O I：

10.1016/j.disc.2007.07.106

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by the resemblance of a multivariate series identity and a finite analogue of Enter's pentagonal number theorem, we study multiple extensions of the latter formula. In a different direction we derive a common extension of this multivariate series identity and two formulas of Lucas. Finally we give a combinatorial proof of Lucas' formulas. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：4069 / 4078

页数：10

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