| 摘要 | 第5-6页 |
| Abstract | 第6页 |
| Preface | 第7-10页 |
| Chapter 1 Power integral bases in maximal real subfields of some cyclotomic fields | 第10-22页 |
| § 1．1． Some Lemmas | 第10-12页 |
| § 1．2． Main Results | 第12-22页 |
| Chapter 2 The diophantine equation x~4 - y~4 = z~2 in Z[(-2)~(1/2)], Z[2~(1/2)] | 第22-28页 |
| § 2．1． The diophantine equation x~4 - y~4 = z~2 in Z[(-2)~(1/2)] | 第22-24页 |
| § 2．2． The diophantine equation x~4 - y~4 = z~2 in Z[2~(1/2)] | 第24-28页 |
| Chapter 3 The difference of two squares of integers in Z[(-2)~(1/2)] | 第28-34页 |
| § 3．1． Any nonzero integer z ∈ Z[(-2)~(1/2)] as z = x~2 - y~2 | 第28-30页 |
| § 3．2． Any nonzero integer z ∈ Z[(-2)~(1/2)] as z = x~2 + 2y~2 | 第30-34页 |
| References | 第34页 |
