Date of Award
Honors Thesis (Open Access)
Colby College. Mathematics and Statistics Dept.
Fernando Q. Gouvêa
The motivation behind this paper lies in understanding the meaning of integrality in general number fields. I present some important definitions and results in algebraic number theory, as well as theorems and their proofs on cyclic cubic fields. In particular, I discuss my understanding of Daniel Shanks' paper on the simplest cubic fields and their class numbers.
algebra, Galois theory, class number, Kronecker-Weber, Even-rank Theorem
Recommended CitationYang, Jianing, "Algebraic Number Theory and Simplest Cubic Fields" (2018). Honors Theses. Paper 954.