Overpartitions

被引：352

作者：

Corteel, S

Lovejoy, J

机构：

[1] UVSQ, CNRS, PRISM, F-78035 Versailles, France

[2] Univ Bordeaux 1, CNRS, LABRI, F-33405 Talence, France

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2004年 / 356卷 / 04期

关键词：

D O I：

10.1090/S0002-9947-03-03328-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss a generalization of partitions, called overpartitions, which have proven useful in several combinatorial studies of basic hypergeometric series. After showing how a number of finite products occurring in q-series have natural interpretations in terms of overpartitions, we present an introduction to their rich structure as revealed by q-series identities.

引用

页码：1623 / 1635

页数：13

共 23 条

[1]

ALLADI K, 1999, TOPICS NUMBER THEORY, V467

[2]

Andrews G., 1998, THEORY PARTITIONS

[3]

Andrews G.E., 1975, THEORY APPL SPECIAL

[4] ON A CALCULUS OF PARTITION FUNCTIONS [J].