On generalizations of partition theorems of Schur and Andrews to overpartitions

被引：6

作者：

Dousse, Jehanne ^{[1
]}

机构：

[1] Univ Paris Diderot, LIAFA, F-75205 Paris 13, France

来源：

RAMANUJAN JOURNAL | 2014年 / 35卷 / 03期

关键词：

Integer partitions; Overpartitions; Schur; Andrews; Generating functions; Recurrences; COMBINATORIAL PROOF;

D O I：

10.1007/s11139-013-9532-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give three new proofs of Schur's theorem for overpartitions using recurrences and generating functions. We also prove two new theorems on overpartitions with difference conditions. These generalize two partition identities of Andrews.

引用

页码：339 / 360

页数：22

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