| 摘要 | 第1-7页 |
| Abstract | 第7-11页 |
| Chapter l Introduction | 第11-27页 |
| ·Congruences for partition function p(n) | 第11-17页 |
| ·Arithmetic properties for multipartitions with even parts distinct and broken k-diamond partitions | 第17-27页 |
| ·Multipartitions with even parts distinct | 第18-21页 |
| ·Broken k-diamond partitions | 第21-27页 |
| Chapter 2 Preliminary on Modular Forms | 第27-41页 |
| ·Terminology and notation | 第28-34页 |
| ·Operators acting on modular forms | 第34-38页 |
| ·Dedekind's η-function | 第38-41页 |
| Chapter 3 Congruences for Multipartitions with Even Parts D istinet | 第41-55页 |
| ·Preliminary on basic hypergeometric series | 第42-44页 |
| ·Congruences for multipartitions with even parts distinct modulo2 | 第44-48页 |
| ·Congruences for multipartitions with even parts distinct modulo powers of 2 | 第48-55页 |
| Chapter 4 Arithmetic Properties of Broken 2-Diamond Partitions | 第55-77页 |
| ·Two families of congruences for △_2(n) modulo 3 | 第56-64页 |
| ·General congruences for△_2(n) | 第64-69页 |
| ·The generating function of △_2(n) modulo m~k | 第69-77页 |
| Bibliography | 第77-85页 |
| 致谢 | 第85-87页 |
| 个人简介 | 第87页 |
