Multiranks and classical theta functions

被引：11

作者：

Fu, Shishuo ^{[1
]}

Tang, Dazhao ^{[2
]}

机构：

[1] Chongqing Univ, Coll Math & Stat, Huxi Campus LD506, Chongqing 401331, Peoples R China

[2] Chongqing Univ, Coll Math & Stat, Huxi Campus LD206, Chongqing 401331, Peoples R China

来源：

INTERNATIONAL JOURNAL OF NUMBER THEORY | 2018年 / 14卷 / 02期

基金：

美国国家科学基金会;

关键词：

Partition congruences; classical theta functions; multirank; overpartitions; partitions with odd parts distinct; CONGRUENCES; IDENTITIES; ANALOG; CRANK;

D O I：

10.1142/S1793042118500343

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Multiranks and new rank/crank analogs for a variety of partitions are given, so as to imply combinatorially some arithmetic properties enjoyed by these types of partitions. Our methods are elementary relying entirely on the three classical theta functions, and are motivated by the seminal work of Ramanujan, Garvan, Hammond and Lewis.

引用

页码：549 / 566

页数：18

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