Partition identities involving gaps and weights

被引：34

作者：

Alladi, K ^{[1
]}

机构：

[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 349卷 / 12期

关键词：

partitions; weights; gaps; Durfee squares; powers of 2;

D O I：

10.1090/S0002-9947-97-01831-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain interesting new identities connecting the famous partition functions of Euler, Gauss, Lebesgue, Rogers-Ramanujan and others by attaching weights to the gaps between parts. The weights are in general multiplicative. Some identities involve powers of 2 as weights and yield combinatorial information about some remarkable partition congruences modulo powers of 2.

引用

页码：5001 / 5019

页数：19

共 16 条

[1] PARTITION-IDENTITIES AND A CONTINUED-FRACTION OF RAMANUJAN [J].