期刊论文详细信息
Berkeley Scientific: the journal of young scientists | |
On the Applications of Cyclotomic Fields in Introductory Number Theory | |
article | |
Kabalan Gaspard1  | |
[1]Mathematical Institute, Oxford University | |
关键词: Number Theory; Cyclotomic Fields; Pell's Equation; Dirichlet; Kummer; Fermat's Last Theorem; Primary Units; Real Units; | |
DOI : 10.5070/BS3171016284 | |
学科分类:社会科学、人文和艺术(综合) | |
来源: University of California, Berkeley | |
【 摘 要 】
In this essay, we study and comment on two number theoretical applications on prime cyclotomic fields (cyclotomic fields obtained by adjoining a primitive p-th root of unity to Q, where p is an odd prime). We begin by giving a simplified proof of Kummer's case of Fermat's Last Theorem obtained by linking different versions of the proof in different textbooks. We finally modernize Dirichlet's solution to Pell's Equation.【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202307080002300ZK.pdf | 1512KB | download |