声明
致谢
1. INTRODUCTION
1.1 Partitions and Ramanujan’s congruences
1.2 Partitions with designated summands
1.3 Partitions wherein each part appears an odd number of times
2. CONGRUENCES FOR THE NUMBER OF TAGGED PARTS OVER PARTITIONS WITH DESIGNATED SUMMANDS
2.1 Introduction and the main results
2.2 Some Lemmas
2.3 Proof of Theorem 2.2
3. PARITY RESULTS FOR PARTITIONS WHEREIN EACH PART APPEARS AN ODD NUMBER OF TIMES
3.1 Introduction and the main results
3.2 Proof of Theorem 3.2
3.3 Proof of Theorem 3.3
3.4 Proof of Theorem 3.4
4. SUMMARY AND FUTURE WORK
参考文献
江苏大学;