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Power Integral Bases for Q(ζ+ζ~(-1)) and Some Results in Z[-2~(1/2)],Z[2~(1/2)]

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

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